There exists a uniform electric field E -4 - 105 V m -1 directed along negative x-axis- A charge of -200 - C is placed at the origin- and a charge of -200 - C is placed at 3 m - 0- Find the electrostatic potential energy of the dipole system-

The potential energy of the dipole is given by PE cos θ Here, P = qd = 200× 10^ 6× 3 = 6× 10^ 4 E = 4 × 10^5 ∴ U= P E cos θ = 6× 10^ 4× 4 × 10^5 × cos ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Potential Energy - External Viewpoint

There exists ...

Question

There exists a uniform electric field $E = 4 \times 10^{5} V m^{- 1}$ directed along negative x-axis. A charge of is placed $- 200 μ C$ at the origin, and a charge $+ 200 μ C$ of is placed at (3m,0). Find the electrostatic potential energy of the dipole system.

Open in App

Solution

Step 1, Given data
Electric field, $E = 4 \times 10^{5} V m^{- 1}$
Charges = $- 200 μ C a n d + 200 μ C$
Step 2, Finding the electrostatic potential energy
We know,
The potential energy of the dipole is given by , $- p E c o s θ$
Here, $p = q \times d = 200 \times 10^{- 6} \times 3 = 6 \times 10^{- 4}$
And, $E = 4 \times 10^{5} V m^{- 1}$
Putting all the values in the equation
$U = - p E c o s θ = - 6 \times 10^{- 4} \times 4 \times 10^{5} c o s 180^{o} = 240 J$
Hence the potential energy of the system is 240 J

Suggest Corrections

Similar questions

Two charges of $+ 200 μ C$ and $- 200 μ C$ are placed at the corners B and C of an equilateral triangle ABC of side $0.1 m$ . The force on a charge of $5 μ C$ placed at A is :

Electric field in a region is given as $\to E = 2^i$ . A charge of $1 C$ is placed at $x = 1 m$ and a charge of $2 C$ is placed at $x = 2 m$ . Find the total energy of the system of charges. (Assume potential at $x = 0$ is zero)

Q. There exists a non-uniform electric field along x-axis as shown in the figure below. The field increases at a uniform rate along +ve x-axis. A dipole is placed inside the field as shown.Which one of the following is correct for the dipole?

Q. An electric dipole has the magnitude of its charge as

q

and its dipole moment is

p

. It is placed in uniform electric field

E

. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively

Q. There exists a non-uniform electric field along x-axis as shown in the figure.The field increases at a uniform rate along

+

ve x-axis. a dipole is placed inside the field as shown. Which one of the following is correct for the dipole?

Join BYJU'S Learning Program

There exists a uniform electric field E=4×105Vm−1 directed along negative x-axis. A charge of is placed −200μC at the origin, and a charge +200μC of is placed at (3m,0). Find the electrostatic potential energy of the dipole system.

There exists a uniform electric field $E = 4 \times 10^{5} V m^{- 1}$ directed along negative x-axis. A charge of is placed $- 200 μ C$ at the origin, and a charge $+ 200 μ C$ of is placed at (3m,0). Find the electrostatic potential energy of the dipole system.