The current flows in the wire from `A` to `D` clockwise direction. The net force on `ABCD`

Options

A. `(sqrt(17))/(2)BiR`
B. `(sqrt(15))/(2)BiR`
C. `(sqrt(13))/(2)BiR`
D. `B i R`

Answer

A

Explanation

`F_(AB) = B i R`, towards left
`F_(BC) = Bi.2R = 2BiR`, upwards
`F_(CD) = (BiR)/(2)`, towards right
`F_(n et) = sqrt((BiR - (BiR^(2))/(2))^(2) + (2BiR)^(2)) = (sqrt(17) BiR)/(2)`