A wire `ABCDEF` ( with each side of length `L`) bent as shown in figure and carrying a current `I` is placed in a uniform magnetic induction `B` parallel to the positive ` y- direction `. The force experienced by the wire is ……….. In the ………. direction .

Options

A. `B I L` in `+y`-direction
B. `B I L` in `-z`-direction
C. `3 B I L`
D. zero

Answer

B

Explanation

Force on `ABCDEFA = 0`
`vec(F)_(m) = i(-L hat(i) xx B hat(j)) = i L B hat(k)`
`F_(m) = BIL` in `-z` direcction