Question

A rad having length / and resistance R is moving with velocity v on a 7 shape conductor. Find the current in the rod.

Answer 1

A rod having length l and resistance R is moving with velocity v on a π shape conductor.

To find : The current in the rod

solution : according to Faraday's law, change in magnetic field induced emf and it is equal to negative or rate of change of magnetic field.

i.e, ε = - ∆Φ/∆t = -NBA/∆t

⇒ε = -1 × B × ∆xl/∆t

we know, rate of change of position with respect to time is velocity

so, v = ∆x/∆t

= ε = -Bl (∆x/∆t) = - Blv

now from Ohm's law, i = |ε|/R = Bvl/R

Therefore the current in the rod would be Bvl/R.

the correct option is (4)