A parallel plate capacitor with air between the plates has a capacitance of 8 pF ( 1 pF = 10 - 12 F ) . What will be the capacitance of the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6 ?

C = ε ο A d C = 8 p F = 8 × 10 - 12 F ε ο A d = 8 × 10 - 12 L e t t h e n e w c a p a c i tan c e b e C ' C ' = ε o k A d ' , n o w , k = 6 , d ' = d / 2 ∴ C ' = ε o × 6 × A d / 2 = 12 × ε o A d = 12 × 8 × 10 - 12 = 96 × 10 - 12 F = 96 p F .

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 23

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Determine expression for potential energy of an electric dipole in external electric field.

Important Questions on Electrostatic Potential and Capacitance

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 1

Three isolated equal charges are placed at the three corners of an equilateral triangle as shown in figure. The statement which is true for net electric potential $V$ and net electric field intensity $E$ at the centre of the triangle is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 2

The potential at a point

0.1 m

from an isolated point charge is

+ 100 Volts

. The nature of the point charge is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 3

A charge of

10 μ C

is placed at the origin of

x - y

coordinate system. The potential difference between two points

(0, a)

and

(a, 0)

in

volt

will be

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 4

Four charges of same magnitude

q

are placed at four corners of a square of side

a .

The value of electric potential at the centre of the square will be (where

k = \frac{1}{4 π ε_{0}})

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 5

Two identical positive charges are placed on the

y

-axis at

y = - a

and

y = + a

. The variation of

V

(electric potential) along

x

-axis is shown by graph

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 6

Which graph best represents the variation of electric potential as a function of distance from the centre of a uniformly charged solid sphere of charge of radius