A conducting rod of length ℓ slides on smooth parallel rails in a uniform magnetic field B perpendicular to the plane of the rails. The rod starts from rest at t=0 and thereafter moves with a constant acceleration a. The total resistance of the closed circuit is R.
a. (a) Derive an expression for the induced emf as a function of time t.
b. (b) Obtain the instantaneous power dissipated in the resistor in terms of B,ℓ,a,t and R.