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let one charge is moving and another charge is stationary (compulsory). Then the electric force between them can be calculated by coulomb's law?

Qmechanic
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KHJ
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1 Answers1

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Yes. In the frame of the stationary charge $Q$, the electric field is: $$\mathbf E_Q = \frac{kQ\mathbf r}{r^3}$$ The force at a (moving) test charge $q$ is $\mathbf F = q\mathbf E$.

But the inverse is not true. The force from the test charge in $Q$ is not equal and opposite. In the frame of $Q$, the electric field of a moving charge is not simply: $$\mathbf E_q = \frac{kq\mathbf r}{r^3}$$ And there is also a magnetic field due to its movement in relation to $Q$ frame.

Claudio Saspinski
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