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An electric dipole is at 30° with unifor...

An electric dipole is at 30° with uniform electric field of `2 xx 10^(5)` N/C. The torque acting on it is 4 Nm. If length of dipole is 2 cm, then what will be the charge at one end of dipole ?

A

5 mC

B

`7muC`

C

8mC

D

2mC

Text Solution

Verified by Experts

The correct Answer is:
D

`tau =pEsintheta`
`tau=q(2a)Esintheta`
`therefore q=tau/(2a xx Esintheta)`
`=4/(2 xx 10^(-2) xx 2 xx 10^(5) xx sin 30^(@))`
`=1/(10^(3) xx 1/2)`
`=1/500 = 0.002 C = 2 xx 10^(-3) C = 2mC`
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