Answer to Question #169595 in Electricity and Magnetism for Malaika Hamid

Question

a rectangular loop is placed in a non-uniform magnetic field that is perpendicular and directed into the page. magnitude of b is 4t^2 x^2 (t) and w=4m and h=3m.find the induced emf around the loop at t=20 sec

Answer 1

$\varepsilon_{ind}=-\frac{d\Phi}{dt}=-S\frac{dB}{dt}=-wh\cdot 8t|_{20}^0=1.92~kV.$