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A long straight ideal solenoid of radius 6 cm, with 150 turns/m passes (on axis) through the center of a flat circular coil, of radius 9 cm, with 15 turns. The current in the solenoid varies with time as I(t) = 4sin(3t) A counterclockwise.
a. What is the total flux across the coil, as a function of time?
b. What is the induced emf in the coil as a function of time?
c. The wire of the coil has cross-sectional area of 30 mm2. At t = 0, electromechanical energy is being converted to thermal energy in the coil at a rate of 4 W. What is the resistivity, %u03C1, of the coil material?
d. What is the magnitude of the electric field inside the wire of the coil at t=0?
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