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$A$ charge $Q$ is uniformly distributed over a long rod $A B$ of length $L$ as shown in the figure. The electric potential at the point $O$ lying at a distance $L$ from the end $A$ is

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Important Questions on Electric Potential

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JEE Advanced

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PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 5

Assume that an electric field

\vec{E} = 30 x^{2} \hat{i}

exists in space. Then the potential difference

V_{A} - V_{o}

, where

V_{o}

is the potential at the origin and

V_{A}

the potential at

x = 2 m

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JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 6

A uniformly charged solid sphere of radius

R

has potential

V_{0}

(measured with respect to

\infty

) on its surface. For this sphere, the equipotential surfaces with potentials

\frac{3 V_{0}}{2}, \frac{5 V_{0}}{4}, \frac{3 V_{0}}{4}

and

\frac{V_{0}}{4}

have radius

R_{1}, R_{2}, R_{3}

and

R_{4}

respectively. Then

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JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 7

Three concentric metal shells

A, B

and

C

of respective radii

a, b

and

c (a < b < c)

have surface charge densities

+ σ, - σ

and

+ σ

respectively. The potential of shell

B

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JEE Advanced

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PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 1

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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JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 2

Two large vertical and parallel metal plates having a separation of

1 cm

are connected to a DC voltage source of potential difference

X .

A proton is released at rest midway between the two plates. It is found to move at

45 °

to the vertical just after release. Then

X

is nearly

HARD

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 1

A spherical metal shell

A

of radius

R_{A}

and a solid metal sphere

B

of radius

R_{B} (< R_{A})

are kept far apart and each is given charge

Q .

Now they are connected by a thin metal wire. Then

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JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Archives>Q 2

Six point charges are kept at the vertices of a regular hexagon of side $L$ and centre $O,$ as shown in the figure. Given that $K = \frac{q}{4 π ε_{0} L^{2}},$ which of the following statement(s) is/are correct?

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A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is

Important Questions on Electric Potential

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$A$ charge $Q$ is uniformly distributed over a long rod $A B$ of length $L$ as shown in the figure. The electric potential at the point $O$ lying at a distance $L$ from the end $A$ is