Find the current in the sliding rod AB (resistance = R). B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t = 0.
Find the current in the sliding rod AB (resistance = R). B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t = 0.

It = /R is the current induced in the loop.

BA = 1/R.d/dt It = 1/R.d/dt It = 1/R.d/d

vBd/R = it

The angle formed by B and A is equal to zero.

At t = o, the switch S is closed.

Q(t) = Cv is the charge through the capacitor.

I(c) = Q(t)/RC = current across the capacitor

We can compute the current across the circuit using the given information by using I = BvdC/RC e –t/RC.