A very long, straight wire carrying current i(t) and a rectangular single-turn coil lie in the same plane, as illustrated in Figure.Thewire and the coil are surrounded by air.
a. Derive an expression for the flux linking the coil.
b. Derive an expression for the voltage vab(t) induced in the coil.
c. Determine the rms value of vab, given that i(t) is a 10-A rms 60-Hz sinusoid, l = 10 cm, r1 = 1 cm, and r2 = 10 cm.