Answer to Question #302190 in Electricity and Magnetism for Pankaj

Question

A time varying magnetic field B(t) = B↓0 cosωt pointing out of the page fills the

region enclosed by a circle of radius a shown in the figure below. Determine the

induced electric field.

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Answer 1

Answer

According to third Maxwell equation

The divergence of Electric field tells the time derivative of time varying magnetic field as below

$\nabla . E=-\frac{dB}{dt}=B_0sin wt$