Question

A circular loop of wire of radius *R* lies in the
*xy*-plane, where a time-varying, radially symmetric
magnetic field of magnitude *B* = *k* *r*
*t ^{3}* (in SI units) points in the
positive

(i) What must be the SI units of *k* ?

(ii) Calculate the magnetic flux Φ_{m} through the loop
as a function of time *t*.

(iii) Calculate the magnitude of the emf ε induced in the loop
as a function of time, and state the direction (viewed from the
positive *z*-axis) in which current will
flow.

Answer #1

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