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How do moving charges change the evolution of a magnetic field?

Answer 1

One of the Maxwell equations, Ampère's law, governs the connection between moving charges and the magnetic field.

#\nabla\times B=\mu_0J+\mu_0\epsilon_0(\partial E)/(\partial t)#.

This equation says that the magnetic field is generated by a current #J# or an electric field that changes in time #E# (if the electric field is constant, its time derivative is zero).

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Answer 2

Anna Armstrong

According to Ampère's law, moving charges produce a magnetic field that changes with the motion of the charges, with field lines forming concentric circles around the direction of the current flow. The magnetic field's strength is directly proportional to the current's magnitude and inversely proportional to the distance from the moving charges.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.