In: Physics
A 3.0-cm-diameter, 14-turn coil of wire, located at z = 0 in the xy-plane, carries a current of 7.5 A. A 2.0-mm-diameter conducting loop with 2.0× 10^−4 Ω resistance is also in the xy-plane at the center of the coil. At t = 0 s, the loop begins to move along the z-axis with a constant speed of 75 m/s.
What is the induced current in the conducting loop at t = 200 μs? The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil.
Here we apply formula for magnetic field of circular coil at its axis and definition of magnetic flux as well as Faraday's law of electromagnetic induction.