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In a cylindrical capacitor with plate radii $a$ and $b,$ the potential difference between the plates is $V .$ The electric field between the plates at a radial distance $r$ from axis is

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Important Questions on Electrostatic Potential and Capacitance

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 49

Two parallel plates have area

A

and separation

d .

They are given charges

q_{1}

and

q_{2} .

They repel each other by a force

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 50

The heat generated in the circuit after closing the switch is

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 51

A parallel plate capacitor is charged by a battery of emf

V

volts. Work done by battery is

W .

Gain in energy of capacitor is

U

and heat dissipated in lead wires is

H .

Then

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 52

A capacitor of capacitance

C

is charged to a potential difference

V

from a cell and then disconnected from it. A charge

+ Q

is now given to its positive plate. The potential difference across the capacitor is now

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 53

A charge of

1 μ C

is given to one plate of a parallel plate capacitor of capacitance

0.1 μ F

and a charge of

2 μ C

is given to the other plate. Find the potential difference developed between the plates.

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 54

A parallel plate air capacitor is to be constructed which can store

12 μ C

of charge when operated at

1200 V .

If dielectric strength of air is

3 \times 10^{6} V m^{- 1},

the minimum plate area of the capacitor required is

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>EXERCISE 2.5>Q 55

Plate $A$ of a parallel plate air filled capacitor is connected to a spring having force constant $' K$ and plate $B$ is fixed. They rest on a frictionless table top as shown in figure. If $+ q$ and $- q$ charges are given to $A$ and $B$ very slowly then elongation in spring will be