Two rectangular conducting loops are shown in the figure, separated by a distance c = 4 cm. The loop on the left has a magnetic field passing through it, which is directed into the page and changes with time as B(t) = C1t, where C1 = 1 T/s. The dimensions of the two loops are given by a = 37 cm, b = 11 cm, and L = 74 cm. Both loops have the same resistance, R = 9 Ω.

Randomized Variables
a = 37 cm
b = 11 cm
c = 4 cm
L = 74 cm
C1 = 1 T/s
R = 9 Ω

(a) Express the current, I1, that flows through the loop on the left in terms of the given quantities.

(b) Find the emf, in volts, that is induced in the loop on the right by the changing magnetic field in the loop on the left.

(c) Now assume the magnetic field through the loop on the left changes in time as B(t) = C2t2, where C2 = 0.15 T/s2. Find the current I2, in amperes, through the loop on the right?