Answers for Assignment 9

46.
(a) Proof.
(b) You may use any combination of parameters that gives 
                        EMF                150 V
             N a b = -------- = ------------------------- = 0.796 m2
                     2 pi f B   2 pi (60.0/sec) (0.500 T)

47.

(a)

                   mu0 I a       2 r + b
             PHI = ------- ln (-----------)
                     2 pi        2 r - b

(b)

                    2 mu0 I a b v
             Iloop = -----------------
                    pi R (4 r2 - b2)

48.

(a) v = I L B t / m

(b) The complete solution for v is 

                        
        EMF           L2 B2
   v = ------ [ exp(- ----- t) - 1 ]    
        L B            m R
which gives a terminal velocity of vf = EMF/(L B) to the right.

(c) I=0

49.

E = - (1/2) mu0 n r I0 omega cos(omega t)       for r>R

E = - (1/2) mu0 n (R2/ r) I0 omega cos(omega t)       for r<R

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Last revised 1998/04/27