Electromagnetism – Does Time-Varying Electric Field Induce Another Magnetic Field?

electromagnetism

Based on the Maxwell equations we know that

A time-varying magnetic field induces an electric field

A time-varying electric field induces a magnetic field

Suppose that an electric field, which is induced by a time-varying magnetic field, is itself time-varying (not stationary). Then the induced time-varying electric field itself induce an other time-varying magnetic field?

Time-varying magnetic field -> Time-varying electric field -> Time-varying magnetic field -> Time-varying electric field -> …

If we measure the net magnetic (or electric) field in a point, we actually measure the resultant of all individually induced magnetic (or electric) fields in this chain?

Best Answer

You are thinking about it in the wrong way. What Maxwell's equations tell you is that when you have a time-varying magnetic field, there must also be an electric field present that satisfies the Maxwell-Faraday equation. The two fields co-exist (and indeed are different aspects of THE electromagnetic field). Similarly, there must be the right value of current density present such that both sides of the Ampere-Maxwell equation agree.

In each case, the equality sign does not imply a causal relationship, it merely says that the left and right hand sides must be equal.

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