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 5

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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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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 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

R

?

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 8

The electric potential at a distance of

3 m

on the axis of a short dipole of dipole moment

4 \times 10^{- 12} coulomb - metre

is

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Gamma Question Bank for Medical Physics>Chapter 17 - Electrostatic Potential and Capacitance>Assignment>Q 9

The electric potential in volts due to an electric dipole of dipole moment

2 \times 10^{- 8}

coulomb-metre at a distance of

3 m

on a line making an angle of

60 °

with the axis of the dipole is

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

An electric dipole of length

1 cm

is placed with the axis making an angle of

30 °

to an electric field of strength

10^{4} N C^{- 1}

. If it experiences a torque of

10 \sqrt{3} Nm

, the potential energy of the dipole is

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

A hollow charged metal sphere has radius

r

. If the potential difference between its surface and a point at a distance

3 r

from the centre is

V

, then electric field intensity at a distance

3 r

is

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

Two concentric hollow conducting spheres of radius $r$ and $R$ are shown. The charge on outer shell is $Q$ . What charge should be given to inner sphere so that the potential at any point $P$ outside the outer sphere is zero?

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