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 to the wire will be :

Options

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)`

Answer

C

Explanation

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)`