## 50+ NEET MCQ Questions Electrostatic Potential and Capacitance with Solutions

Here we will provide you the 50+ MCQ Questions of Electrostatic Potential and Capacitance for NEET-UG. Electrostatic Potential and Capacitance is the chapter 2 in Class XII or Class 12 Physics NCERT Unit Electrostatic Potential and Capacitance NEET (conducted by NTA) is based on the NCERT book.

These 50+ MCQ questions are selected by the experts of studyrate.in and these are more difficult questions, which will help you to better understand Electrostatic Potential and Capacitance NEET MCQ Questions with Answers.

# Electrostatic Potential and Capacitance NEET MCQ

A parallel plate capacitor of capacitance C has a charge Q on its plates. If the separation between the plates is doubled, the potential difference across the plates will become:
a) Q/2C
b) Q/C
c) Q/4C
d) Q/8C

A spherical conductor of radius R has a charge Q on it. The electric potential at a point P outside the sphere, at a distance r from the centre, is proportional to:
a) Q/r
b) Q/R
c) Q/R²
d) Q/r²

Two point charges +Q and -Q are placed at a distance d apart. The electric potential at a point P, on the line joining the two charges, at a distance r from the midpoint of the line joining the two charges, is proportional to:
a) Q/d
b) Qd/r²
c) Q/r
d) Q/2d

A metal sphere of radius R has a charge Q on it. Another identical uncharged sphere is brought in contact with the first sphere and then removed. The final charge on the first sphere is:
a) Q/2
b) Q/4
c) Q
d) 2Q

A parallel plate capacitor is charged and then disconnected from the battery. A dielectric slab of dielectric constant K is inserted between the plates. The energy stored in the capacitor:
a) increases by a factor of K
b) decreases by a factor of K
c) remains the same
d) becomes zero

Answer: a) increases by a factor of K

A capacitor of capacitance C is charged to a potential V and then disconnected from the battery. A dielectric slab of dielectric constant K is inserted between the plates. The potential difference across the plates becomes:
a) V/K
b) V
c) KV
d) K²V

Two capacitors of capacitances C₁ and C₂ are connected in parallel and charged to a potential V. They are then disconnected and connected in series. The energy stored in the capacitors after the second connection is:
a) (C₁C₂/2(C₁+C₂))V²
b) (C₁C₂/(C₁+C₂))V²
c) (C₁C₂/4(C₁+C₂))V²
d) (C₁C₂/(2C₁+2C₂))V²

Two capacitors of capacitances C₁ and C₂ are charged to potentials V₁ and V₂ respectively. They are then disconnected and connected in parallel. The potential difference across each capacitor after the second connection is:
a) V₁+V₂
b) V₁/V₂
c) V₂/V₁
d) (C₁V₁+C₂V₂)/(C₁+C₂)

A capacitor of capacitance C is connected in series with a resistance R and a battery of emf E. The time constant of the circuit is:
a) RC
b) C/R
c) RE/C
d) E/RC

A charge Q is placed at the centre of a cube of side a. The electric potential at a point on the surface of the cube, at a distance a/2 from the centre, is proportional to:
a) Q/a
b) Qa
c) Q/a²
d) Q/2a

Two identical conducting spheres A and B are connected by a conducting wire. They are then separated and a potential difference V is applied between them. The energy required to separate the spheres is:
a) (3/2)CV²
b) 2CV²
c) (1/2)CV²
d) (3/4)CV²

A parallel plate capacitor of capacitance C is charged to a potential V. A thin metal sheet is now inserted halfway between the plates, without touching them. The capacitance of the capacitor now becomes:
a) C/2
b) C
c) 2C
d) 4C

A capacitor of capacitance C is charged to a potential V and then connected in parallel with an uncharged capacitor of capacitance C. The total energy stored in the capacitors after the connection is:
a) (3/2)CV²
b) CV²
c) (1/2)CV²
d) (5/4)CV²

A parallel plate capacitor of capacitance C is charged to a potential V. A dielectric slab of thickness t and dielectric constant K is now inserted between the plates, covering the entire area of the plates. The energy density of the electric field in the capacitor now becomes:
a) (1/2)ε₀(E/K)²
b) (1/2)ε₀(E/K)²(K-1)
c) (1/2)ε₀(E/K)²(K+1)
d) (1/2)ε₀(E/K)²(K²-1)

A parallel plate capacitor of capacitance C is charged to a potential V. A slab of thickness t and dielectric constant K is now inserted between the plates, covering only half of the area of the plates. The energy stored in the capacitor now becomes:
a) (1/2)CV²
b) (1/4)CV²
c) (3/8)CV²
d) (5/8)CV²

A spherical capacitor is made of two concentric conducting spheres of radii R and 2R, separated by a vacuum. The capacitance of the capacitor is:
a) (4πε₀R)/(1-1/4)
b) (4πε₀R)/(1/4)
c) (4πε₀R)/(1-1/2)
d) (4πε₀R)/(1/2)

Three identical capacitors, each of capacitance C, are connected in series to a battery of emf V. The charge on each capacitor is q. The energy stored in each capacitor is:
a) (1/6)CV²
b) (1/2)CV²
c) CV²
d) 2CV²/3

A parallel plate capacitor of capacitance C is charged to a potential V. A slab of thickness t and dielectric constant K is now inserted between the plates, covering only one-fourth of the area of the plates. The capacitance of the capacitor now becomes:
a) C/4
b) CK/4
c) 4C/K
d) 4CK

Two capacitors of capacitances C and 2C are connected in series to a battery of emf V. The charge on the capacitor of capacitance C is q. The potential difference across the capacitor of capacitance C is:
a) V/3
b) V/4
c) V/5
d) V/6

A parallel plate capacitor of capacitance C is charged to a potential V. A thin metal sheet is now inserted between the plates, touching one of them. The capacitance of the capacitor now becomes:
a) C/2
b) C/3
c) 2C/3
d) 2C

A spherical capacitor is made of two concentric conducting spheres of radii R and 2R, separated by a dielectric of dielectric constant K. The capacitance of the capacitor is:
a) (4πε₀R)/(1-1/K)
b) (4πε₀R)/(1/K)
c) (4πε₀R)/(1-K)
d) (4πε₀R)/(K-1)

A parallel plate capacitor of capacitance C is charged to a potential V. A slab of thickness t and dielectric constant K is now inserted between the plates, covering only one-half of the area of the plates. The capacitance of the capacitor now becomes:
a) C/2
b) CK/2
c) 2C/K
d) 2CK

A parallel plate capacitor of capacitance C is charged to a potential V. The plates are now disconnected from the battery and a dielectric slab of thickness t and dielectric constant K is inserted between the plates, covering the entire area of the plates. The final energy stored in the capacitor is:
a) (1/2)CV²
b) (1/2)CKV²
c) (1/2)KCV²
d) (1/2)CK²V²