A rough inclined plane inclined at angle of `37^(@)` with horizontal has a metallic wire of length `20cm` with its length `_|_` to length of inclines plane `(mu=0.1)` When a current of its passing through the wire and a magnetic field is applied normal to the plane upwards, the wire starts moving up with uniform velocity for `B=0.5T`. The find the magnitude of current `i,(` mass of the wire `=50g)`

Explanation

When thewire is in equilibrium `Bil = mg sin theta + f`
`Bil = mg (sin theta + mu cos theta)`
`Bil = 5 xx 10^(-2) xx 10 (3/5 + 0.1 xx 4/5) i= (10^(-1) xx 3.4)/(10^(-1) ) = 3.4 A`