First slide

Electric dipole

Question

An electric dipole consists of two equal and opposite charges placed 2 cm apart. When the dipole is placed in a uniform electric field of strength $10^{5} {NC}^{- 1}$ , it experiences
a maximum torque of $0.2 \times 10^{- 3}$ Nm. Find the magnitude of each charge.

Moderate

A

20 μC
B

10 μC
C

15 μC
D

40 μC

Solution

$Here, 2 a = 2 cm = 0.02 m, τ_{\max} = 0.2 \times 10^{- 3} Nm and E = 10^{5} {NC}^{- 1} Now, maximum torque on the dipole, τ_{\max} = pE = q (2 a) \times E ∴ q = \frac{τ_{\max}}{(2 a) E} = \frac{0.2 \times 10^{- 3}}{0.02 \times 10^{5}} = 10^{- 7} C = 10 μC$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App