Problems from HRW Problem Supplement #1 (6th edition)
Chapter 31

90.  The figure for this problem is Fig. 31-13(a), except
     that the magnitude of B is decreasing, rather than
     increasing.  A uniform magnetic field is confined to
     a cylindrical volume of radius 10 cm.  The magnitude 
     of B is decreasing at a constant rate of 10 mT/s.  
     What are the instantaneous accelerations (direction 
     and magnitude) experienced by an electron placed 
     (a) 5 cm below the center of the cylinder;  
     (b) at the center of the cylinder; and
     (c) 5 cm above the center of the cylinder.

Problems from Fishbane, Gasiorowicz, and Thornton
(2nd edition) Chapter 28

57.  Find a differential equation which can be solved
     for Q(t), the charge as a function of time, on a
     discharging capacitor.  The figure for this problem
     is Fig. 28-13, with an initial charge of Q_0 on
     capacitor C when the switch is moved to position
     b at t = 0.  Let positive current represent a
     charging capacitor, i.e. i = (dQ/dt).  Show by
     direct substitution that Q(t) = (Q_0)e^(-t/RC) is
     a solution of this differential equation.

Problems from Fishbane, Gasiorowicz, and Thornton
(2nd edition) Chapter 31

45.  A coil of area 6.0 cm² with 180 turns of wire is
     connected to a resistor of resistance 3 Ohms.  It 
     is rotated by hand at a frequency of 0.6 rev/s in a 
     magnetic field of 0.40 T.  (a) What is the maximum 
     amount of current produced?  (b) the average power 
     produced?

46.  You have 25 m of wire, a constant magnetic field of
     0.15 T, and a device that can rotate a coil at a
     fixed frequency of 90 Hz.  What size circular coil
     will produce an AC EMF of maximum voltage 120 V?

Problems from Fishbane, Gasiorowicz, and Thornton
(2nd edition) Chapter 33

(This is the web problem for 4/8.)
46.  The figure for this problem is Fig. 31-17.  After
     being at position a for a long time, switch S is
     thrown to b.  Find the differential equation which 
     can be solved for the resulting I(t), and show that
     I(t) = (EMF/R)e^(-tR/L) is a solution of that
     differential equation.