NEET Physics MCQs – Electrostatic Potential and Capacitance

NEET Physics MCQs – Electrostatic Potential and Capacitance

Q1

The potential at a distance r from a point charge q is:

A. kq/r2kq/r^2kq/r2
B. kq/rkq/rkq/r
C. kqrkq rkqr
D. kqr2kq r^2kqr2

Q2

The potential energy of a system of two point charges q1 and q2 separated by distance r is:

A. kq1q2/rk q_1 q_2 / rkq1​q2​/r
B. kq1q2/r2k q_1 q_2 / r^2kq1​q2​/r2
C. kq1q2rk q_1 q_2 rkq1​q2​r
D. Zero

Q3

The work done in moving a charge q in a uniform electric field along the direction of field over distance d is:

A. qEd
B. qE/d
C. Zero
D. –qEd

Q4

The potential at the center of a uniformly charged ring of radius R and charge Q is:

A. kQ/R2kQ/R^2kQ/R2
B. kQ/RkQ/RkQ/R
C. Zero
D. Infinite

Q5

Equipotential surfaces around a point charge are:

A. Spheres
B. Planes
C. Cylinders
D. Cones

Q6

A test charge is moved along an equipotential surface. Work done is:

A. Maximum
B. Zero
C. Depends on displacement
D. Infinite

Q7

The potential due to a dipole at a point on the axial line at distance r (r >> dipole length) is:

A. kqd/r2kqd/r^2kqd/r2
B. kqd/r3kqd/r^3kqd/r3
C. Zero
D. kq/r

Q8

The potential due to a dipole on the equatorial line at distance r (r >> dipole length) is:

A. kqd/r2kqd/r^2kqd/r2
B. Zero
C. kqd/r3kqd/r^3kqd/r3
D. Maximum

Q9

Two positive charges q1 and q2 are brought from infinity to a distance r. The potential energy of the system is:

A. Zero
B. kq1q2/rkq_1 q_2 / rkq1​q2​/r
C. kq1q2rkq_1 q_2 rkq1​q2​r
D. −kq1q2/r-kq_1 q_2 / r−kq1​q2​/r

Q10

The potential energy of a dipole of moment p in a uniform electric field E at angle θ is:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q11

The potential due to a uniformly charged thin spherical shell of charge Q at a point outside (r > R) is:

A. kQ/r2kQ/r^2kQ/r2
B. kQ/rkQ/rkQ/r
C. kQ/RkQ/RkQ/R
D. Zero

Q12

The potential inside a uniformly charged spherical shell is:

A. Same as at surface
B. Zero
C. Increases linearly toward center
D. Infinite

Q13

The potential energy of a system of three identical charges at the vertices of an equilateral triangle of side a is:

A. 3kq2/a3 k q^2 / a3kq2/a
B. kq2/ak q^2 / akq2/a
C. 3/2kq2/a3/2 k q^2 / a3/2kq2/a
D. 2kq2/a2 k q^2 / a2kq2/a

Q14

The electric field at a point where the potential is maximum is:

A. Zero
B. Maximum
C. Minimum
D. Depends on other charges

Q15

The work done in moving a charge from infinity to a point at potential V is:

A. qV
B. V/q
C. Zero
D. Depends on path

Q16

The potential difference between two points a distance d apart in uniform electric field E along the line of field is:

A. Ed
B. E/d
C. Zero
D. –Ed

Q17

The potential at a point on the axis of a uniformly charged ring of radius R at distance x from center is:

A. kQ/R2+x2kQ/\sqrt{R^2+x^2}kQ/R2+x2​
B. kQ/RkQ/RkQ/R
C. Zero
D. kQ x²

Q18

The electric potential at a point due to an infinite line charge λ is:

A. λ/2πϵ0r\lambda / 2\pi \epsilon_0 rλ/2πϵ0​r
B. λ/4πϵ0r2\lambda / 4\pi \epsilon_0 r^2λ/4πϵ0​r2
C. Zero
D. λr/2πϵ0\lambda r / 2\pi \epsilon_0λr/2πϵ0​

Q19

The potential at the midpoint between two equal and opposite charges +q and –q is:

A. Zero
B. Maximum
C. Minimum
D. Depends on distance

Q20

The electric potential inside a conductor in electrostatic equilibrium is:

A. Zero
B. Constant
C. Varies linearly
D. Maximum at center

Q21

A capacitor stores energy U. If charge is doubled while capacitance remains constant, energy becomes:

A. 2U
B. 4U
C. U/2
D. U

Q22

The capacitance of a parallel plate capacitor is directly proportional to:

A. Plate separation
B. Dielectric constant
C. 1/Area of plate
D. Volume of plate

Q23

For a parallel plate capacitor of area A and plate separation d in vacuum, capacitance is:

A. ε₀ A / d
B. d / ε₀ A
C. ε₀ d / A
D. A / ε₀ d

Q24

Two capacitors C1 and C2 are connected in series. Equivalent capacitance is:

A. C1 + C2
B. C1 C2 / (C1 + C2)
C. √(C1 C2)
D. 2(C1 + C2)

Q25

Two capacitors C1 and C2 are connected in parallel. Equivalent capacitance is:

A. C1 + C2
B. C1 C2 / (C1 + C2)
C. √(C1 C2)
D. 2(C1 + C2)

Q26

Energy stored in a capacitor is given by:

A. 1/2CV21/2 CV^21/2CV2
B. CVCVCV
C. C/VC/VC/V
D. 1/2CV1/2 CV1/2CV

Q27

A dielectric slab is inserted between the plates of a charged capacitor (disconnected). Capacitance and energy:

A. Capacitance ↑, Energy ↓
B. Capacitance ↑, Energy ↑
C. Capacitance ↓, Energy ↑
D. Capacitance ↓, Energy ↓

Q28

A parallel plate capacitor has a dielectric of εr. Its capacitance becomes:

A. εr times original
B. 1/εr times original
C. Unchanged
D. Zero

Q29

If the distance between plates of a capacitor is halved, capacitance becomes:

A. Doubled
B. Halved
C. Unchanged
D. Quadrupled

Q30

Two identical capacitors are connected in series to battery V. Voltage across each capacitor:

A. V/2
B. V
C. 2V
D. V/4

Q31

The potential at a point P on the equatorial line of a dipole of moment p at distance r (r >> dipole length) is:

A. Zero
B. k p / r²
C. k p / r³
D. Maximum

Q32

Two point charges +q each are separated by distance 2a. The potential at the midpoint is:

A. Zero
B. kq/a
C. kq/2a
D. 2kq/a

Q33

The potential energy of a dipole of moment p placed at angle θ in uniform electric field E is:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q34

The energy stored in a capacitor of capacitance C charged to voltage V is:

A. ½ CV²
B. CV
C. C/V
D. ½ CV

Q35

A 4 μF capacitor is charged to 12 V. The energy stored is:

A. 288 μJ
B. 0.288 J
C. 0.5 J
D. 0.24 J

Q36

Two capacitors 6 μF and 3 μF are connected in series. The equivalent capacitance is:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q37

Two capacitors 6 μF and 3 μF are connected in parallel. The equivalent capacitance is:

A. 2 μF
B. 3 μF
C. 9 μF
D. 4 μF

Q38

A parallel plate capacitor has plate area A and separation d. A dielectric slab of εr is inserted. New capacitance:

A. εr ε₀ A / d
B. ε₀ A / d εr
C. ε₀ A / d
D. 0

Q39

Two point charges +q and –q are separated by distance 2a. The potential at a point on perpendicular bisector at distance x from midpoint is:

A. Zero
B. k q a / (x² + a²)^(3/2)
C. k q / x²
D. k q / a²

Q40

If two identical capacitors are connected in series across voltage V, energy stored in each capacitor is:

A. ½ CV² / 2
B. CV² / 2
C. 2 CV²
D. CV²

Q41

Two charges q1 = +2 μC and q2 = –2 μC are 0.1 m apart. Potential energy of system:

A. –3600 J
B. –360 J
C. –36 J
D. –3.6 J

Q42

A dipole of moment p is placed along uniform electric field E. Torque on dipole is:

A. Zero
B. Maximum
C. pE
D. Depends on distance

Q43

A parallel plate capacitor has capacitance C and charge Q. Plate separation is doubled (battery disconnected). New energy:

A. 4 × original
B. 2 × original
C. ½ × original
D. Unchanged

Q44

The potential at a distance r from a uniformly charged thin spherical shell of charge Q and radius R (r < R):

A. kQ/r²
B. kQ/r
C. kQ/R
D. Zero

Q45

The potential energy of a system of three identical charges at vertices of equilateral triangle of side a:

A. 3 k q² / a
B. k q² / a
C. 3/2 k q² / a
D. 2 k q² / a

Q46

A 2 μF capacitor is charged to 100 V and then connected to uncharged 2 μF capacitor in parallel. Final energy stored:

A. 0.02 J
B. 0.01 J
C. 0.05 J
D. 0.1 J

Q47

If voltage across capacitor is kept constant, insertion of dielectric slab changes energy:

A. Increases
B. Decreases
C. Remains same
D. Zero

Q48

The potential due to an infinite sheet of charge with surface charge density σ at distance d:

A. σ d / 2 ε₀
B. σ / 2 ε₀
C. σ d² / 2 ε₀
D. Zero

Q49

The work done to move a charge q along an equipotential surface is:

A. qV
B. Zero
C. Maximum
D. Depends on distance

Q50

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 4πε₀ R1 R2

Q51

If three capacitors C1, C2, C3 in series are connected to battery, total voltage across C2:

A. V × C1 / (C1 + C2 + C3)
B. V × C2 / (C1 + C2 + C3)
C. V × C3 / (C1 + C2 + C3)
D. V / 3

Q52

The energy density in a capacitor with dielectric:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. ε / 2

Q53

A parallel plate capacitor has energy U. If plate separation halved (battery connected), energy becomes:

A. U/2
B. 2U
C. 4U
D. U

Q54

The potential at a point due to a line charge λ along x-axis at perpendicular distance r:

A. λ / 2πε₀ r
B. λ / 4πε₀ r²
C. λ r / 2πε₀
D. Zero

Q55

Potential due to dipole at point on axial line is:

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q56

Potential energy of a system of charges in vacuum depends on:

A. Relative positions of charges
B. Absolute position in space
C. Mass of charges
D. None

Q57

Two identical parallel plate capacitors charged to V and then connected in parallel (battery disconnected). Energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q58

Dielectric constant of medium between plates increases. Capacitance:

A. Increases
B. Decreases
C. Remains same
D. Zero

Q59

Potential difference between plates of a capacitor:

A. Directly proportional to charge
B. Inversely proportional to capacitance
C. Both
D. None

Q60

A 6 μF capacitor charged to 12 V is connected to uncharged 3 μF capacitor. Final charge on 3 μF capacitor:

A. 4 μC
B. 6 μC
C. 8 μC
D. 12 μC

Q61

Two capacitors, 4 μF and 6 μF, are connected in series across 12 V battery. The charge on 4 μF capacitor is:

A. 24 μC
B. 48 μC
C. 72 μC
D. 12 μC

Q62

Two capacitors, 4 μF and 6 μF, connected in parallel across 12 V battery. Total energy stored:

A. 0.864 mJ
B. 0.864 J
C. 1.44 J
D. 0.72 J

Q63

Energy stored in a capacitor of capacitance C and voltage V is:

A. ½ CV²
B. 2 CV²
C. CV²
D. ¼ CV²

Q64

A parallel plate capacitor has capacitance 10 μF. Dielectric slab inserted doubles capacitance. Dielectric constant:

A. 2
B. 4
C. 10
D. 5

Q65

If the battery is disconnected, and a dielectric of constant k is inserted, the energy stored in capacitor:

A. Increases
B. Decreases
C. Remains same
D. Zero

Q66

Two capacitors of 3 μF and 6 μF in series connected to 12 V battery. Voltage across 6 μF capacitor:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q67

A 2 μF capacitor charged to 100 V is connected to uncharged 2 μF capacitor. Total energy after connection:

A. 0.01 J
B. 0.02 J
C. 0.04 J
D. 0.05 J

Q68

Two point charges +q and –q separated by 2a. The potential at a point on perpendicular bisector at distance x >> a:

A. k q a / x²
B. k q a / x³
C. Zero
D. k q / x²

Q69

Capacitance of a spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 4πε₀ R2 / R1

Q70

Two identical capacitors C charged to V and connected in series (battery disconnected). Energy of each capacitor:

A. ½ CV² / 2
B. CV² / 2
C. 2 CV²
D. CV²

Q71

Energy density (u) in a capacitor is:

A. ½ ε E²
B. ε E²
C. ε / 2
D. 2 ε E²

Q72

A 4 μF capacitor charged to 10 V, then disconnected and dielectric inserted. New energy:

A. 0.2 mJ
B. 0.4 mJ
C. 0.1 mJ
D. 0.5 mJ

Q73

Capacitance of parallel plate capacitor is doubled by:

A. Doubling area
B. Halving distance
C. Both A and B
D. Doubling distance

Q74

A capacitor of capacitance C charged to voltage V is connected to uncharged identical capacitor. Final voltage across each:

A. V
B. V/2
C. 2V
D. V/4

Q75

Two capacitors in series: C1 = 6 μF, C2 = 3 μF, battery 12 V. Charge on C1:

A. 12 μC
B. 24 μC
C. 36 μC
D. 48 μC

Q76

Energy stored in capacitor: C = 5 μF, V = 10 V:

A. 0.25 mJ
B. 0.25 J
C. 2.5 J
D. 25 J

Q77

A dielectric is inserted in a capacitor connected to battery. Voltage across plates:

A. Unchanged
B. Decreases
C. Increases
D. Zero

Q78

A 6 μF capacitor charged to 12 V connected in parallel with uncharged 3 μF capacitor (battery disconnected). Charge on 3 μF capacitor:

A. 4 μC
B. 6 μC
C. 8 μC
D. 12 μC

Q79

Potential at a point on the axis of a uniformly charged ring of radius R at distance x from center:

A. kQ / x²
B. kQ / √(R² + x²)
C. kQ / R
D. kQ x²

Q80

Potential at midpoint between two equal positive charges separated by distance 2a:

A. Zero
B. kq / a
C. 2 kq / a
D. kq / 2a

Q81

The work done in moving a charge q along an equipotential surface:

A. Zero
B. Maximum
C. Depends on path
D. Infinite

Q82

A parallel plate capacitor, area A, separation d, dielectric constant k. Energy stored with battery connected:

A. ½ k ε₀ A V² / d
B. ½ ε₀ A V² / k d
C. ½ ε₀ A V² / d
D. ½ V² / k

Q83

Series combination of capacitors: C1 = 4 μF, C2 = 6 μF. Equivalent capacitance:

A. 2.4 μF
B. 3 μF
C. 4 μF
D. 10 μF

Q84

Parallel combination of same capacitors: C1 = 4 μF, C2 = 6 μF. Equivalent capacitance:

A. 10 μF
B. 2.4 μF
C. 3 μF
D. 5 μF

Q85

Potential energy stored in a capacitor: C = 2 μF, V = 10 V:

A. 0.1 mJ
B. 0.1 J
C. 0.2 J
D. 0.5 J

Q86

Two capacitors, series connection, total voltage V. Voltage across smaller capacitor:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q87

Dielectric constant of slab inserted in charged capacitor (battery disconnected). Energy change:

A. Decreases
B. Increases
C. Constant
D. Zero

Q88

A spherical capacitor with inner radius 2 cm, outer radius 4 cm. Capacitance:

A. 2ε₀ π
B. 16πε₀ / 2
C. 8πε₀
D. 4πε₀

Q89

Two capacitors in series charged by battery. Energy distribution:

A. Same in both
B. More in smaller capacitance
C. More in larger capacitance
D. Depends on voltage

Q90

Potential difference across a parallel plate capacitor of 4 μF, charged to 12 V:

A. 144 μC
B. 48 μC
C. 12 μC
D. 24 μC

Q91

Two capacitors C1 = 3 μF and C2 = 6 μF are connected in series across 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q92

A 4 μF capacitor is charged to 10 V. If plate separation is doubled (battery disconnected), stored energy:

A. 0.2 mJ
B. 0.4 mJ
C. 0.1 mJ
D. 0.5 mJ

Q93

A dielectric slab of k = 3 inserted into capacitor connected to battery. Capacitance:

A. Tripled
B. Halved
C. Unchanged
D. Doubled

Q94

Two identical capacitors, each charged to V and connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q95

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 mJ
B. 0.36 J
C. 3.6 J
D. 36 J

Q96

A spherical capacitor with inner radius 2 cm, outer radius 6 cm. Capacitance:

A. 12πε₀
B. 6πε₀
C. 4πε₀
D. 2πε₀

Q97

Two capacitors in series: C1 = 4 μF, C2 = 6 μF. Total energy stored in system:

A. ½ C_eq V²
B. C_eq V²
C. 2 C_eq V²
D. ¼ C_eq V²

Q98

Dielectric inserted in charged capacitor (battery disconnected). Energy stored:

A. Decreases
B. Increases
C. Constant
D. Zero

Q99

Potential at point along axial line of dipole at distance r (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. k p / r

Q100

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q101

Two identical capacitors in series, battery disconnected. Total charge distribution:

A. Same on both
B. More on smaller capacitance
C. More on larger capacitance
D. Depends on battery voltage

Q102

Energy density in dielectric-filled capacitor:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. ε / 2

Q103

Two point charges +q each separated by 2a. Potential at midpoint:

A. k q / a
B. 0
C. 2 k q / a
D. k q / 2a

Q104

A capacitor of 2 μF charged to 10 V. Energy stored:

A. 0.1 mJ
B. 0.1 J
C. 1 J
D. 2 J

Q105

Voltage across capacitor halved. Energy stored changes:

A. Reduced to ¼
B. Doubled
C. Halved
D. Unchanged

Q106

Capacitance of parallel plate capacitor doubled by:

A. Doubling plate area
B. Halving separation
C. Both A & B
D. None

Q107

A 3 μF capacitor charged to 6 V. Connected in parallel with uncharged 3 μF capacitor (battery disconnected). Final voltage:

A. 6 V
B. 3 V
C. 12 V
D. 1.5 V

Q108

Energy stored in two identical capacitors connected in series across battery:

A. Same in both
B. More in one
C. Zero in one
D. Depends on charge

Q109

Potential at distance r from line charge λ:

A. λ / 2πε₀ r
B. λ / 4πε₀ r²
C. λ r / 2πε₀
D. Zero

Q110

Potential due to dipole on equatorial line:

A. Zero
B. k p / r²
C. k p / r³
D. Maximum

Q111

Potential energy of system of three charges at vertices of equilateral triangle of side a:

A. 3 k q² / a
B. 3/2 k q² / a
C. k q² / a
D. 2 k q² / a

Q112

Two capacitors in series connected to battery. Energy stored in smaller capacitor:

A. More than larger
B. Less than larger
C. Same as larger
D. Zero

Q113

A parallel plate capacitor charged to voltage V. Battery disconnected. Dielectric inserted. Energy:

A. Increases
B. Decreases
C. Constant
D. Zero

Q114

Energy stored in capacitor C = 4 μF, V = 12 V:

A. 0.288 J
B. 0.576 J
C. 1.2 J
D. 2.4 J

Q115

Two capacitors C1 = 3 μF, C2 = 6 μF in series. Total voltage V applied. Voltage across C1:

A. 8 V
B. 4 V
C. 12 V
D. 6 V

Q116

Energy stored in capacitor depends on:

A. Capacitance and voltage
B. Voltage only
C. Capacitance only
D. Charge only

Q117

A dielectric slab inserted in parallel plate capacitor connected to battery. Voltage:

A. Constant
B. Doubled
C. Halved
D. Zero

Q118

Potential at midpoint between two opposite charges +q and –q separated by 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q119

A 6 μF capacitor charged to 12 V. Energy stored:

A. 0.432 J
B. 0.36 J
C. 0.72 J
D. 0.5 J

Q120

Capacitance of spherical capacitor (R1 = 2 cm, R2 = 4 cm):

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / (R1 R2)
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q121

Two capacitors, C1 = 2 μF and C2 = 4 μF, connected in series across 12 V battery. Charge on C1:

A. 4 μC
B. 8 μC
C. 6 μC
D. 12 μC

Q122

Two identical capacitors charged to voltage V and connected in parallel (battery disconnected). Final energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q123

A parallel plate capacitor, C = 6 μF, charged to 10 V. Energy stored:

A. 0.3 J
B. 0.5 J
C. 0.6 J
D. 0.2 J

Q124

Two point charges +q each separated by 2a. Potential at midpoint:

A. Zero
B. kq / a
C. 2 kq / a
D. kq / 2a

Q125

Voltage across a capacitor is doubled. Energy stored changes by:

A. Quadruples
B. Doubles
C. Halved
D. Unchanged

Q126

A parallel plate capacitor with dielectric inserted (battery connected). Capacitance:

A. Increases
B. Decreases
C. Unchanged
D. Zero

Q127

Energy stored in a spherical capacitor with inner radius R1 and outer radius R2 charged to V:

A. ½ C V²
B. CV²
C. 2 CV²
D. ¼ CV²

Q128

A dipole of moment p placed along uniform field E at angle 30°. Torque on dipole:

A. (1/2)pE
B. pE
C. (√3/2)pE
D. Zero

Q129

Two capacitors C1 = 3 μF and C2 = 6 μF in series. Total voltage 12 V. Voltage across C2:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q130

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q131

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q132

Two capacitors C1 and C2 connected in parallel. Voltage across each if battery V:

A. V
B. V/2
C. Depends on C
D. Zero

Q133

Energy stored in series combination of capacitors:

A. Same as sum of individual
B. Less than sum
C. More than sum
D. Zero

Q134

Dielectric slab of k = 4 inserted in charged capacitor (battery disconnected). Energy:

A. Decreases
B. Increases
C. Remains same
D. Zero

Q135

Potential at a point along axial line of dipole (distance r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q136

Energy stored in parallel plate capacitor: C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q137

A spherical capacitor, inner radius 2 cm, outer radius 4 cm. Capacitance:

A. 4πε₀ (2 × 4)/(4 – 2) cm
B. 2πε₀
C. 8πε₀
D. 16πε₀

Q138

Two identical capacitors, charged to V, connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q139

Voltage across smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q140

Potential difference between plates of parallel plate capacitor:

A. Directly proportional to charge
B. Inversely proportional to capacitance
C. Both
D. None

Q141

Energy of system of three charges at vertices of equilateral triangle of side a:

A. 3 k q² / a
B. 3/2 k q² / a
C. k q² / a
D. 2 k q² / a

Q142

Potential at midpoint between +q and –q separated by 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q143

Energy stored in capacitor C charged to voltage V:

A. ½ C V²
B. CV²
C. 2 C V²
D. ¼ C V²

Q144

Voltage across 2 μF capacitor in series with 4 μF, battery V = 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q145

Two capacitors C1 = 3 μF, C2 = 6 μF in parallel across 12 V. Charge on C1:

A. 36 μC
B. 24 μC
C. 12 μC
D. 48 μC

Q146

Energy stored in 6 μF capacitor charged to 10 V:

A. 0.3 J
B. 0.36 J
C. 0.6 J
D. 0.5 J

Q147

Dielectric constant k = 5 inserted into capacitor connected to battery. New energy:

A. 5 × original
B. Original
C. 1/5 × original
D. Zero

Q148

Potential at a point on equatorial line of dipole:

A. Zero
B. k p / r²
C. k p / r³
D. Maximum

Q149

Two identical capacitors charged to V, connected in series (battery disconnected). Voltage across each:

A. V
B. V/2
C. 2V
D. Zero

Q150

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q151

Two capacitors, C1 = 2 μF and C2 = 3 μF, connected in series across 12 V. Charge on C2:

A. 8 μC
B. 12 μC
C. 6 μC
D. 4 μC

Q152

A 4 μF capacitor is charged to 10 V and then connected in parallel with uncharged 4 μF capacitor (battery disconnected). Final voltage:

A. 10 V
B. 5 V
C. 20 V
D. 2.5 V

Q153

Energy stored in capacitor C = 5 μF, V = 10 V:

A. 0.25 J
B. 0.5 J
C. 0.05 J
D. 1 J

Q154

Two point charges +q and –q separated by 2a. Potential at a point on perpendicular bisector at distance x >> a:

A. k q a / x²
B. k q a / x³
C. Zero
D. k q / x²

Q155

Voltage across smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q156

Two identical capacitors charged to V and connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q157

Dielectric slab inserted in charged capacitor (battery disconnected). Energy:

A. Decreases
B. Increases
C. Constant
D. Zero

Q158

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q159

Two capacitors C1 = 3 μF, C2 = 6 μF in parallel across 12 V. Charge on C2:

A. 72 μC
B. 36 μC
C. 24 μC
D. 12 μC

Q160

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q161

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q162

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q163

Two capacitors in series: C1 = 4 μF, C2 = 6 μF, battery 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q164

Energy stored in 6 μF capacitor charged to 12 V:

A. 0.432 J
B. 0.576 J
C. 0.864 J
D. 0.288 J

Q165

Two identical capacitors charged to V, connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q166

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q167

Energy stored in capacitor C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q168

Dielectric constant k = 5 inserted in capacitor connected to battery. Capacitance:

A. 5 × original
B. 2 × original
C. Original
D. Half

Q169

Voltage across 2 μF capacitor in series with 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q170

Two identical capacitors charged to V, connected in series. Energy distribution:

A. Half each
B. Unequal, depends on series
C. Zero in one
D. Double in one

Q171

Potential at a point along axial line of dipole (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q172

Energy stored in capacitor C = 3 μF, V = 10 V:

A. 0.15 J
B. 0.2 J
C. 0.25 J
D. 0.3 J

Q173

Two point charges +q each separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. 2 kq / a
D. kq / 2a

Q174

Dielectric slab inserted in capacitor connected to battery. Voltage:

A. Constant
B. Halved
C. Doubled
D. Zero

Q175

Series combination of capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q176

Parallel combination of same capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 9 μF
B. 4 μF
C. 2 μF
D. 3 μF

Q177

Voltage across smaller capacitor in series: C1 = 2 μF, C2 = 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q178

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 J
B. 0.72 J
C. 0.24 J
D. 0.48 J

Q179

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q180

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q181

Two capacitors, C1 = 3 μF and C2 = 6 μF in series, connected across 12 V battery. Charge on C2:

A. 4 μC
B. 8 μC
C. 6 μC
D. 12 μC

Q182

Two identical capacitors charged to 10 V each and connected in parallel (battery disconnected). Final energy stored:

A. Doubled
B. Halved
C. Same
D. Zero

Q183

A parallel plate capacitor, C = 4 μF, charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q184

Two point charges +q and –q separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q185

Voltage across a smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q186

Two identical capacitors charged to V and connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q187

Dielectric slab inserted in charged capacitor (battery disconnected). Energy stored:

A. Decreases
B. Increases
C. Constant
D. Zero

Q188

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q189

Two capacitors C1 = 3 μF and C2 = 6 μF in parallel across 12 V. Charge on C2:

A. 72 μC
B. 36 μC
C. 24 μC
D. 12 μC

Q190

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q191

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q192

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q193

Two capacitors in series: C1 = 4 μF, C2 = 6 μF, battery 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q194

Energy stored in 6 μF capacitor charged to 12 V:

A. 0.432 J
B. 0.576 J
C. 0.864 J
D. 0.288 J

Q195

Two identical capacitors charged to V, connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q196

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q197

Energy stored in capacitor C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q198

Dielectric constant k = 5 inserted in capacitor connected to battery. Capacitance:

A. 5 × original
B. 2 × original
C. Original
D. Half

Q199

Voltage across 2 μF capacitor in series with 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q200

Two identical capacitors charged to V, connected in series. Energy distribution:

A. Half each
B. Unequal, depends on series
C. Zero in one
D. Double in one

Q201

Potential at a point along axial line of dipole (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q202

Energy stored in capacitor C = 3 μF, V = 10 V:

A. 0.15 J
B. 0.2 J
C. 0.25 J
D. 0.3 J

Q203

Two point charges +q each separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. 2 kq / a
D. kq / 2a

Q204

Dielectric slab inserted in capacitor connected to battery. Voltage:

A. Constant
B. Halved
C. Doubled
D. Zero

Q205

Series combination of capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q206

Parallel combination of same capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 9 μF
B. 4 μF
C. 2 μF
D. 3 μF

Q207

Voltage across smaller capacitor in series: C1 = 2 μF, C2 = 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q208

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 J
B. 0.72 J
C. 0.24 J
D. 0.48 J

Q209

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q210

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q211

Two capacitors, C1 = 2 μF and C2 = 4 μF in series, connected across 12 V battery. Charge on C1:

A. 4 μC
B. 8 μC
C. 6 μC
D. 12 μC

Q212

A 4 μF capacitor charged to 10 V is connected in parallel with uncharged 4 μF capacitor (battery disconnected). Final voltage:

A. 10 V
B. 5 V
C. 20 V
D. 2.5 V

Q213

Energy stored in capacitor C = 5 μF, V = 10 V:

A. 0.25 J
B. 0.5 J
C. 0.05 J
D. 1 J

Q214

Two point charges +q and –q separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q215

Voltage across a smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q216

Two identical capacitors charged to V and connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q217

Dielectric slab inserted in charged capacitor (battery disconnected). Energy stored:

A. Decreases
B. Increases
C. Constant
D. Zero

Q218

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q219

Two capacitors C1 = 3 μF and C2 = 6 μF in parallel across 12 V. Charge on C2:

A. 72 μC
B. 36 μC
C. 24 μC
D. 12 μC

Q220

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q221

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q222

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q223

Two capacitors in series: C1 = 4 μF, C2 = 6 μF, battery 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q224

Energy stored in 6 μF capacitor charged to 12 V:

A. 0.432 J
B. 0.576 J
C. 0.864 J
D. 0.288 J

Q225

Two identical capacitors charged to V, connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q226

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q227

Energy stored in capacitor C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q228

Dielectric constant k = 5 inserted in capacitor connected to battery. Capacitance:

A. 5 × original
B. 2 × original
C. Original
D. Half

Q229

Voltage across 2 μF capacitor in series with 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q230

Two identical capacitors charged to V, connected in series. Energy distribution:

A. Half each
B. Unequal, depends on series
C. Zero in one
D. Double in one

Q231

Potential at a point along axial line of dipole (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q232

Energy stored in capacitor C = 3 μF, V = 10 V:

A. 0.15 J
B. 0.2 J
C. 0.25 J
D. 0.3 J

Q233

Two point charges +q each separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. 2 kq / a
D. kq / 2a

Q234

Dielectric slab inserted in capacitor connected to battery. Voltage:

A. Constant
B. Halved
C. Doubled
D. Zero

Q235

Series combination of capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q236

Parallel combination of same capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 9 μF
B. 4 μF
C. 2 μF
D. 3 μF

Q237

Voltage across smaller capacitor in series: C1 = 2 μF, C2 = 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q238

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 J
B. 0.72 J
C. 0.24 J
D. 0.48 J

Q239

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q240

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q241

Two capacitors, C1 = 2 μF and C2 = 3 μF in series, connected across 12 V battery. Charge on C2:

A. 8 μC
B. 12 μC
C. 6 μC
D. 4 μC

Q242

A 4 μF capacitor charged to 10 V is connected in parallel with uncharged 4 μF capacitor (battery disconnected). Final voltage:

A. 10 V
B. 5 V
C. 20 V
D. 2.5 V

Q243

Energy stored in capacitor C = 5 μF, V = 10 V:

A. 0.25 J
B. 0.5 J
C. 0.05 J
D. 1 J

Q244

Two point charges +q and –q separated by 2a. Potential at midpoint:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q245

Voltage across smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q246

Two identical capacitors charged to V and connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q247

Dielectric slab inserted in charged capacitor (battery disconnected). Energy stored:

A. Decreases
B. Increases
C. Constant
D. Zero

Q248

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q249

Two capacitors C1 = 3 μF and C2 = 6 μF in parallel across 12 V. Charge on C2:

A. 72 μC
B. 36 μC
C. 24 μC
D. 12 μC

Q250

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q251

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q252

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q253

Two capacitors in series: C1 = 4 μF, C2 = 6 μF, battery 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q254

Energy stored in 6 μF capacitor charged to 12 V:

A. 0.432 J
B. 0.576 J
C. 0.864 J
D. 0.288 J

Q255

Two identical capacitors charged to V, connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q256

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q257

Energy stored in capacitor C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q258

Dielectric constant k = 5 inserted in capacitor connected to battery. Capacitance:

A. 5 × original
B. 2 × original
C. Original
D. Half

Q259

Voltage across 2 μF capacitor in series with 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q260

Two identical capacitors charged to V, connected in series. Energy distribution:

A. Half each
B. Unequal, depends on series
C. Zero in one
D. Double in one

Q261

Potential at a point along axial line of dipole (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q262

Energy stored in capacitor C = 3 μF, V = 10 V:

A. 0.15 J
B. 0.2 J
C. 0.25 J
D. 0.3 J

Q263

Two point charges +q each separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. 2 kq / a
D. kq / 2a

Q264

Dielectric slab inserted in capacitor connected to battery. Voltage:

A. Constant
B. Halved
C. Doubled
D. Zero

Q265

Series combination of capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q266

Parallel combination of same capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 9 μF
B. 4 μF
C. 2 μF
D. 3 μF

Q267

Voltage across smaller capacitor in series: C1 = 2 μF, C2 = 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q268

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 J
B. 0.72 J
C. 0.24 J
D. 0.48 J

Q269

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q270

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

Q271

Two capacitors, C1 = 2 μF and C2 = 3 μF in series, connected across 12 V battery. Charge on C2:

A. 8 μC
B. 12 μC
C. 6 μC
D. 4 μC

Q272

A 4 μF capacitor charged to 10 V is connected in parallel with uncharged 4 μF capacitor (battery disconnected). Final voltage:

A. 10 V
B. 5 V
C. 20 V
D. 2.5 V

Q273

Energy stored in capacitor C = 5 μF, V = 10 V:

A. 0.25 J
B. 0.5 J
C. 0.05 J
D. 1 J

Q274

Two point charges +q and –q separated by 2a. Potential at midpoint:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q275

Voltage across smaller capacitor in series combination:

A. V × C_large / (C_small + C_large)
B. V × C_small / (C_small + C_large)
C. V / 2
D. V

Q276

Two identical capacitors charged to V and connected in series (battery disconnected). Energy in each capacitor:

A. Half of total
B. Same
C. Zero
D. Double

Q277

Dielectric slab inserted in charged capacitor (battery disconnected). Energy stored:

A. Decreases
B. Increases
C. Constant
D. Zero

Q278

Potential energy of a dipole in uniform field at angle θ:

A. –pE cosθ
B. pE cosθ
C. –pE sinθ
D. pE sinθ

Q279

Two capacitors C1 = 3 μF and C2 = 6 μF in parallel across 12 V. Charge on C2:

A. 72 μC
B. 36 μC
C. 24 μC
D. 12 μC

Q280

Energy density in capacitor with dielectric ε and electric field E:

A. ½ ε E²
B. ε E²
C. ½ E² / ε
D. 2 ε E²

Q281

Capacitance of spherical capacitor with inner radius R1 and outer radius R2:

A. 4πε₀ R1 R2 / (R2 – R1)
B. 4πε₀ (R2 – R1) / R1 R2
C. 4πε₀ (R1 + R2)
D. 2πε₀

Q282

A 2 μF capacitor charged to 12 V. Energy stored:

A. 0.144 J
B. 0.288 J
C. 0.024 J
D. 0.012 J

Q283

Two capacitors in series: C1 = 4 μF, C2 = 6 μF, battery 12 V. Voltage across C1:

A. 4 V
B. 8 V
C. 12 V
D. 6 V

Q284

Energy stored in 6 μF capacitor charged to 12 V:

A. 0.432 J
B. 0.576 J
C. 0.864 J
D. 0.288 J

Q285

Two identical capacitors charged to V, connected in parallel (battery disconnected). Total energy:

A. Doubled
B. Halved
C. Same
D. Zero

Q286

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q287

Energy stored in capacitor C = 4 μF, V = 10 V:

A. 0.2 J
B. 0.25 J
C. 0.4 J
D. 0.5 J

Q288

Dielectric constant k = 5 inserted in capacitor connected to battery. Capacitance:

A. 5 × original
B. 2 × original
C. Original
D. Half

Q289

Voltage across 2 μF capacitor in series with 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q290

Two identical capacitors charged to V, connected in series. Energy distribution:

A. Half each
B. Unequal, depends on series
C. Zero in one
D. Double in one

Q291

Potential at a point along axial line of dipole (r >> dipole length):

A. k p / r²
B. k p / r³
C. Zero
D. Maximum

Q292

Energy stored in capacitor C = 3 μF, V = 10 V:

A. 0.15 J
B. 0.2 J
C. 0.25 J
D. 0.3 J

Q293

Two point charges +q each separated by distance 2a. Potential at midpoint:

A. 0
B. kq / a
C. 2 kq / a
D. kq / 2a

Q294

Dielectric slab inserted in capacitor connected to battery. Voltage:

A. Constant
B. Halved
C. Doubled
D. Zero

Q295

Series combination of capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 2 μF
B. 3 μF
C. 4 μF
D. 9 μF

Q296

Parallel combination of same capacitors: C1 = 3 μF, C2 = 6 μF. Equivalent capacitance:

A. 9 μF
B. 4 μF
C. 2 μF
D. 3 μF

Q297

Voltage across smaller capacitor in series: C1 = 2 μF, C2 = 4 μF, battery 12 V:

A. 4 V
B. 8 V
C. 6 V
D. 12 V

Q298

Energy stored in capacitor C = 5 μF, voltage V = 12 V:

A. 0.36 J
B. 0.72 J
C. 0.24 J
D. 0.48 J

Q299

Potential at midpoint between +q and –q separated by distance 2a:

A. 0
B. kq / a
C. –kq / a
D. Maximum

Q300

A 4 μF capacitor charged to 12 V. Energy stored:

A. 0.288 J
B. 0.576 J
C. 0.144 J
D. 0.5 J

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72A147C222B297A
73B148A223B298B
74C149B224B299

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All questions and answers provided original, and created for educational purposes only. They are intended for practice and learning, not exact reproduction of official exam papers.