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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A charge $q$ is distributed uniformly on the surface of a sphere of radius $R .$ It is covered by a concentric hollow conducting sphere of radius $2 R$ Charge on the outer surface of the hollow sphere will be, if it is earthed

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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 9

A hollow spherical conductor of radius

r

potential of

100 V

at its outer surface. The potential inside the hollow at a distance of

\frac{r}{2}

from its centre is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 10

A spherical conductor having charge

q

and radius

r

is placed at the centre of a spherical shell of radius

R

and having charge

Q (R > r) .

The potential difference between the two is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 11

A positive point charge $q$ is placed at a distance $2 R$ from the surface of a metallic shell of radius $R$. The electric field at centre of shell due to induced charge has magnitude

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 12

Three point charges

q, q & - 2 q

are placed at the corners of an equilateral triangle of side

' L'

Calculate, work done by external force in moving all the charges far apart without acceleration

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 13

Electric potential in a region is varying according to the relation

V = \frac{3 x^{2}}{2} - \frac{y^{2}}{4}

, where

x

and

y

are in metre and

V

is in volt. Electric field intensity (in

N C^{- 1}

) at a point

(1 m, 2 m)

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 14

There exists a uniform electric field

E = 4 \times 10^{5} V m^{- 1}

directed along negative

x

-axis such that electric potential at origin is zero. A charge of

- 200 μ C

is placed at origin, and a charge of

+ 200 μ C

is placed at

(3 m, 0) .

The electrostatic potential energy of the system is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 15

Six point charges are placed at the vertices of a regular hexagon of side $a$ as shown. If $E$ represents electric field and $V$ represents electric potential at $O,$ then

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 16

In a certain region of space, variation of potential with distance from origin as we move along

x

-axis is given by

V = 8 x^{2} + 2,

where

x

is the

x

-coordinate of a point in space. The magnitude of electric field at a point

(- 4, 0)

A charge q is distributed uniformly on the surface of a sphere of radius R. It is covered by a concentric hollow conducting sphere of radius 2R Charge on the outer surface of the hollow sphere will be, if it is earthed

Important Questions on Electrostatic Potential and Capacitance

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A charge $q$ is distributed uniformly on the surface of a sphere of radius $R .$ It is covered by a concentric hollow conducting sphere of radius $2 R$ Charge on the outer surface of the hollow sphere will be, if it is earthed