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An electric dipole is placed at an angle...

An electric dipole is placed at an angle of `30^(@)` with an electric field of intensity `2 times 10^(5)NC^(-1)`. It experiences a torque equal to 4 Nm. Calculate the charge on the dipole if the dipole length is 2 cm.

A

8 mC

B

4 mC

C

8 `muC`

D

2 mC

Text Solution

Verified by Experts

The correct Answer is:
D
Torque on dipole is
`" "tau=pEsintheta`
`" "tau=q times 2lEsintheta`
`rArr" "q=tau/(2Elsintheta)`
Given, `tau=4Nm, E=2 times 10^(5)NC^(-1), l = 2 times 10^(-2)m, theta=30^(@)`.
`therefore" "q=4/(2 times 2 times 10^(5) times 2 times 10^(-2) times sin30^(@))`
`rArr q=2mC`.
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