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A rigid square loop of side 'a’ and carr...

A rigid square loop of side 'a’ and carrying current `I_(2)` is lying on a horizontal surface near a long current `I_(1)` carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

A

Zero

B

Repulsive and equal to `(mu_0I_1I_2)/(4pi)`

C

Attractive and equal to `(mu_0I_1I_2)/(3pi)`

D

Repulsive and equal to `(mu_0I_1I_2)/(2pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecF_1=(mu_0I_1)/(2pia)xxI_2a=(mu_0I_1I_2)/(2pi)` Repulsive
`vecF_2=(mu_0I_1)/(2pi.2a)xxI_2a=(mu_0I_1I_2)/(4pi)` Attractive
`implies F_("net")=F_1-F_2=(mu_0I_1I_2)/(4pi)` To the right
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