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A square loop of side 2a and carrying cu...

A square loop of side 2a and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same cruurent I is placed parallel to z - axis and passing through point (0,b,0), (b >>a). The magnitude of troque on the loop about z - axis will be :

A

`(mu_0 I^2 a^2)/(2pib)`

B

`(mu_0 I^2 a^3)/(2pib^2)`

C

`(2mu_0 I^2 a^2)/(pib)`

D

`(2mu_0 I^2 a^3)/(pib^3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`B=(mu_0I)/(2pid)`
Torque , `(tau) = MB sin theta`
`=[I_1(2a)^2]((mu_0I_2)/(2pid)) sin90^@=(2mu_0I_1I_2)/(pid)xxa^2`
`=(2mu_0i^2d^2)/(pid)`
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