What is the net force on the rectangular coil

Options

A. `25xx10^(-7) N ` towards wire
B. `25xx10^(-7)N` away from wire
C. `35xx10^(-7)N ` towards wire
D. `35xx10^(-7) N ` away from wire

Answer

A

Explanation

`F_(1) (mu _(0) I_(1)I_(2)dl)/(2pi d)=(mu_(0) (2) (1) (15))/( 2pi (2))=(15 mu _(0))/(2pi )`
towards wire
`F_(2) = (mu _(0) (2) (1) (15))/( 2pi (2) )=(15 mu_(0))/(2pi)` among from wire
` F_(net ) = F_(1) - F_(2) =`
` (15 mu_(0))/(2pi)-(15mu_(0))/(12pi) =(75 mu_(0))/(12pi)=(75)/(3)xx10^(-7)`
`= 25xx10^(-7)N ( "towards ") `