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There is a non-spherical cavity inside a solid conducting neutral sphere of radius $R$ and a charge $+ Q$ is placed inside the cavity as shown in figure. Consider a point $P$ which is inside the sphere and at a distance of $\frac{R}{2}$ from point charge $Q$ as shown in figure. Potential at $P$ due to charge on the inner surface of the cavity will be $(k = \frac{1}{4 π ε_{0}})$

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Important Questions on Electrostatic Potential and Capacitance

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 2

Initially switch

S

was open and capacitors

C, 2 C

were having charges

Q

and

2 Q

respectively as shown in figure. Find charge flown in the direction

1

shown in figure after switch

S

is closed.
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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 4

The region between two concentric spheres of radii a and

2 a

has volume charge density,

ρ = \frac{A}{r},

where

A

is constant and

r

is distance from the centre. A point charge

Q

is placed at the centre. If the potential in the region

a \leq r < 2 a

varies linearly then value of

A

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 6

Consider a half circular disc of radius

R

having uniform surface charge density

σ .

A disc of radius

\frac{R}{2}

is removed from the half disc as shown in figure. Find potential at

O

(in

V

)(centre of complete disc)

(\frac{σ R}{2 ε_{0}} = \frac{54 π}{π - 2} V)

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 9

In the given circuit, the switch

S

was initially open. If the switch is closed now, then amount of charge flown through the switch

S

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 10

A cylindrical air capacitor of length

ℓ,

inner radius

R

and outer radius

2 R

is connected to a battery of emf

E

as shown in figure. A particle of charge

+ q

and mass

m

is released from rest from inner surface of capacitor. The speed of particle when it reaches to the mid-point of plates, is
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 11

Three identical conducting plates are arranged as shown in figure and they are given charges as indicated. When switch

S

is closed, the amount of charge flown through the switch is
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 12

A charged particle having charge

q

and mass

m

accelerated by a potential difference

V_{0}

enters inside a parallel plate capacitor (parallel to length

ℓ

of plates) at midpoint of its separation between plates at

t = 0 .

Potential difference across capacitor varies with time

t

as,

V = a d t

, where

a

is constant and

d

is separation between plates. Angle of deviation as it comes out of plates, is

\frac{π}{4} .

Value of

\frac{m a^{2} l^{4}}{2 q V_{0}^{3}}

, will be

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 13

Six capacitors each of capacitance $C$ is connected as shown in the figure and initially all the capacitors are uncharged. Now a battery of $emf = ε$ is connected. How much charge will flow through the battery if the switch is on?

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Important Questions on Electrostatic Potential and Capacitance

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