Question: Using Maxwell's equations, show that (a) A time-dependent magnetic field cannot exist without an electric field; (b) A uniform electric field cannot exist in the

Using Maxwell's equations, show that
(a) A time-dependent magnetic field cannot exist without an electric field;
(b) A uniform electric field cannot exist in the presence of a time-dependent magnetic field;
(c) Inside an empty cavity a uniform electric (or magnetic) field can be time-dependent.

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