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IMPORTANT

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Figure shows two equipotential lines in the $x y$ plane for an electric field. The scales are marked. The $x$ -component and $y$ -component of the field in the space between these equipotential lines are, respectively,

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Important Questions on Electric Potential

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 11

A large insulated sphere of radius

r

charged with

Q

units of electricity is placed in contact with a small insulated uncharged sphere of radius

r'

and is then separated. The charge on the smaller sphere will now be,

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 12

When a charge

2 μC

is carried from point

A

to point

B

, the amount of work done by the electric field is

50 μJ

. What is the potential difference and which is at a higher potential?

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 13

An electric field is expressed as

\vec{E} = (2 \hat{i} + 3 \hat{j}) N C^{- 1}

. Find the potential difference

(V_{A} - V_{B})

between two points

A

and

B

whose position vectors are given by

r_{A} = (\hat{i} + 2 \hat{j}) m

and

r_{B} = (2 \hat{i} + \hat{j} + 3 \hat{k}) m

EASY

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 14

The potential function of an electrostatic field is given by

V = 2 x^{2}

. Determine the electric field strength at the point

(2 m, 0, 3 m)

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 15

Two spherical conductors of radii $R_{1} and R_{2}$ are separated by a distance much larger than the radius of either sphere. The spheres are connected by a conducting wire as shown in figure. If the charges on the spheres in equilibrium are $q_{1} and q_{2}$ , respectively , what is the ratio of the field strength at the surfaces of the spheres?

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MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 16

There is an electric field

E

in the

x

-direction. If the work done by electric field in moving a charge of

0.2 C

through a distance of

2 m

along a line making an angle

60^{°}

with the

x

-axis is

4 J

, then what is the value of

E

HARD

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 17

As shown in the figure, a dust particle with mass $m = 5.0 \times 10^{- 9} kg$ and charge $q_{0} = 2.0 nC$ starts from rest at a point $a$ and moves in a straight line to a point $b$ . What is its speed $v$ at point $b$ ?

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MEDIUM

JEE Advanced

IMPORTANT

PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 3 - Electric Potential>Exercise>Q 18

Two charged particles having charges

1 μC

and

- 1 μC

and of mass

50 g

each are held at rest while their separation is

2 m

. Now the charges are released. Find the speed of the particles when their separation is

1 m

Figure shows two equipotential lines in the xy plane for an electric field. The scales are marked. The x-component and y-component of the field in the space between these equipotential lines are, respectively,

Important Questions on Electric Potential

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Figure shows two equipotential lines in the $x y$ plane for an electric field. The scales are marked. The $x$ -component and $y$ -component of the field in the space between these equipotential lines are, respectively,