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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

Attractive and equal to `( mu_(0)I_(1)I_(2))/(3 pi)`

C

Repulsive and equal to `(mu_(0)I_(1)I_(2))/(4 pi)`

D

Repulsive and equal to `(mu_(0)I_(1)I_(2))/(2 pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
Net repulsive force
`F = F_(1)-F_(2) = ( mu_(0))/(2 pi) (i_(1)i_(2)xxa)/(a)-(mu_(0))/(2pi) (i_(1)i_(2))/(2a)xxa " " = (mu_(0))/(4pi)i_(1)i_(2)`
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