d) An infinite solid cylindrical conductor of radius a = 3 cm centered on the z-axis carries a current
$I_1$ = 1 A. The current is uniformly distributed over its cross section and is directed out of
the page (positive z-direction). A coaxial infinite, thin cylindrical conducting shell of radius
b = 8 cm carries a current $I_2$ = 4 A, into the page (negative-z direction). What is the
magnitude of the B field inside the inner cylinder at a radius of 2.0? Plot $B_y(x, y = 0)$ along
x direction.
e) Two identical bar magnets each have a wire loop around them. Loop a is twice as large as
loop b. Compare the magnetic flux through the two loops. I one of the loop pull up with
velocity v, plot EMF as function of time.
q = 1.6 \times 10^{-19} C
\epsilon_0 = 8.854 \times 10^{-12} F/m
\mu_0 = 4\pi \times 10^{-7} H/m
c = 3 \times 10^8 m/s
\eta_0 = 377 \Omega
