Answer to Question #50908 in Electricity and Magnetism for Nayan Jyoti Das

Question

4. a) A time varying magnetic field B(t) = B0 cos wt 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.
b) Do the following fields satisfy all four Maxwell’s equations?
E(t) = E0 sin x sin t
B(t) = B0 cos x cos t