Two electric dipoles of moments P 1 and P 2 are in a straight line. Show that the potential energy of each in the presence of the other is − 1 2 π ε 0 ⋅ p 1 p 2 r 3 , where r is the distance between the dipoles. (Assume r to be much greater than the length of the dipole).

Electric field due to the dipole of moment p 1 at the other dipole is E = 1 4 π ε 0 ⋅ 2 p 1 r 3 . The potential energy of the other dipole of moment p 2 in the electric field E is U = − p 2 E = − p 2 × 1 4 π ε 0 ⋅ 2 p 1 r 3 = − 1 2 π ε 0 p 1 p 2 r 3 .

EASY

12th CBSE

IMPORTANT

Earn 100

In below image, the potentials at points $A$ and $B$ are $V_{A}$ and $V_{B}$ respectively. Calculate $V_{A} - V_{B}$ for the given arrangement.

Important Questions on Electrostatic Potential and Capacitance

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 12

Figure below shows some equipotential surfaces. What can you say about the magnitude and direction of the electric field?

Question Image

MEDIUM

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 13

The electric potential

V

at any point

x, y, z

(all in metres) in space is given by

V = 4 x^{2}

volts. Calculate the electric field at the point

(1 m, 0, 2 m)

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 14

The electric field outside a charged long straight wire is given by

E = \frac{1000}{r} {Vm}^{- 1}

, and is directed outwards. What is the sign of the charge on the wire? If two points

A

and

B

are situated such that

r_{A} = 0.2 m

and

r_{B} = 0.4 m

, find the value of

(V_{A} - V_{B})

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 15

There are two particles each of mass

m

and carrying a charge

Q

. Initially one of them is at rest on a smooth-horizontal plane and the other is projected from a long distance along the plane, directly towards the first particle with a velocity

v

. Find the closest distance of approach.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 16

A point charge

q

moves from a point

P

to a point

S

along the path

P Q R S

in a uniform electric field

\vec{E}

acting along the positive direction of

X

-axis. The coordinates of the points

P, Q, R

and

S

are

(a, b, 0), (2 a, 0, 0), (a, - b, 0)

and

(0, 0, 0)

respectively. Find the work done by the field in the process.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 17

Three point charges of $1 C, 2 C$ and $3 C$ are plated at the corners of an equilateral triangle of side $1 m$ calculate the work required to move these charges to the corners of a smaller equilateral triangle of sides $0.5 m$ as shown in the below image.

Question Image

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 18

Two electric dipoles of moments $P_{1}$ and $P_{2}$ are in a straight line. Show that the potential energy of each in the presence of the other is $- \frac{1}{2 π ε_{0}} \cdot \frac{p_{1} p_{2}}{r^{3}}$ , where $r$ is the distance between the dipoles. (Assume $r$ to be much greater than the length of the dipole).

Question Image

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 2 - Electrostatic Potential and Capacitance>HOTS Problems on Higher Order Thinking Skills>Q 19

Two identical metal plates are given charges

q_{1}

and

q_{2} (< q_{1})

respectively. If they are now brought close together to form a parallel plate capacitor with capacitance

C

, what will be the potential difference between the plates?

In below image, the potentials at points A and B are VA and VB respectively. Calculate VA-VB for the given arrangement.

Important Questions on Electrostatic Potential and Capacitance

Learn and Prepare for any exam you want !

In below image, the potentials at points $A$ and $B$ are $V_{A}$ and $V_{B}$ respectively. Calculate $V_{A} - V_{B}$ for the given arrangement.