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

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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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Important Questions on Electric Potential

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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

is

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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

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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

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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

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

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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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