Allow wire AB to travel with velocity v at time t = 0.
x(t) = vt at time t
AB = e1 = Blv Motional emf across
(Bo sin t)vd = e1 (-j)
d(B)/dt = e2
e2 = -B0 cos tx (t)d e2 = -B0 cos tx (t)d e2 = -B0 cos tx
emf due to field change + motional emf across AB = total emf in the circuit
= Bod/R (x cost + v sint) is the formula for electric current in the clockwise direction.
Fext = Bo2d2/R (ꞷx cos ꞷt + v sin ꞷt)(sin ꞷt (i)