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Consider a thin spherical shell of radius $R$ with its center at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $| \vec{E} (r) |$ and the electric potential $V (r)$ with the distance $r$ from the centre is best represented by which graph?

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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>Assignment Set-2>Q 24

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 25

Three concentric metallic spherical shells of radii

R, 2 R, 3 R,

are given charges

Q 1, Q 2, Q 3,

respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells,

Q 1 : Q 2 : Q 3

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 26

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 27

A uniformly charged thin spherical shell of radius $R$ carries uniform surface charge density of $σ$ per unit area. It is made of two hemispherical shells, held together by pressing them with force $F$ (see figure). $F$ is proportional to

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 28

An air filled parallel plate capacitor having circular plates of diameter

D

is given a charge

Q .

The magnitude of the force acting between plates is

\frac{n Q^{2}}{π ε_{0} D^{2}} .

The value of

n

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 30

The potential of point $P$ is $n V .$ The value of $n$ is

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 31

The ratio of energy stored by the series combination of two identical capacitors to their parallel combination, when connected to same supply voltage, is

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment Set-2>Q 33

An air filled parallel plate capacitor of capacitance

50 μ F

is connected to a battery of

100 V .

A slab of dielectric constant

4

is inserted in it to fill the space completely. The extra charge (in

mC

) flown through the battery till it attains the steady state is

n .

The value of

n

Consider a thin spherical shell of radius R with its center at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field |E→r| and the electric potential Vr with the distance r from the centre is best represented by which graph?

Important Questions on Electrostatic Potential and Capacitance

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