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:

Options

A. Zero
B. Attractive and equal to `(mu_(0)I_(1)I_(2))/(3pi)`
C. Repilsive and equal to `(mu_(0)I_(1)I_(2))/(4pi)`
D. Repulsive and equal to `(mu_(0)I_(1)I_(2))/(2pi)`

Answer

C

Explanation

Net repulsive `, F=F_(1)-F_(2)=(mu_(0))/(2pi)(i_(1)i_(2)xxa)/a=(mu_(0))/(2pi) (i_(1)i_(2))/(2a)xxa=(mu_(0))/(4pi)i_(1)i_(2)`