Find an expression for the induced current in the loop

Reference no: EM13255110

A circular loop of conducting wire, with radius a and resistance R, is placed in a magnetic field. The magnitude of the field changes in time, but the direction in which it points remains constant. The loop is oriented such that its area vector (normal vector) makes a constant angle ? with the magnetic field. If the magnetic field is given by B(T) = B_o e^(-bt), b > 0. (that first term is B naught).

a) Find an expression for the induced current in the loop as a function of time. If the flow of positive current is defined to be clockwise (relative to the loop's normal vector), in which direction will the induced current flow?

B) Sketch the current as a function of time for ?=0, ?/4, and ?/2.

Reference no: EM13255110

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