Question

A rectangular loop is placed in a non uniform magnetic field that is perpendicular and directed into the page. The magnitude of B is 4t²x²(T), W=4m and H=3m. Find €ind around the loop at t=20s

Answer 1

Answer

Induced electric field is given by

$E_{ind}=-\frac{d\phi}{dt}\\=-\frac{d}{dt}(BWH)\\=-8tx^2WH$ where x=W

$=-8\times20\times4\times4\times4\times3\\=30.7MV$

( in magnitude form)