Question:
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.
Solution:
The angle between A and B = 0o
Therefore, the emf is Bvd.
-LdI(t)/dt + Bvd = IR
LdI(t)/dt + RI (t) = Bvd
Solving the equation, we get
I = Bvd/R [1-e-Rt/2]