A uniform magnetic field B is directed into the page. A circular circuit of radius r...

A uniform magnetic field B is directed into the page. A circular circuit of radius r containing a
resistor R and a capacitor C, is placed in this field. Initially the capacitor is uncharged, and at time t =
0, the magnitude of the magnetic field starts to change at a rate dB/dt = x, x > 0.
a) Using Lenz’s law, determine the direction of the induced current in the closed loop. Justify
your answer.
b) Calculate the induced emf Ɛ and draw its direction.
c) Write an equation for the circuit as a function of time.
d) Q(t) for this circuit is given as Q(t) = C Ɛ (1−e −t/RC); what is the voltage VC across the
capacitor as a function of time?
e) What is the power dissipated by the resistor at t = 0 ?

Expert Solution

genius_generous answered 2 years ago

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