Find the (Lorenz gauge) potentials and fields of a

Chapter 10, Problem 34P

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QUESTION:

Problem 34P

Find the (Lorenz gauge) potentials and fields of a time-dependent ideal electric dipole p(t) at the origin.23 (It is stationary, but its magnitude and/or direction are changing with time.) Don’t bother with the contact term.

Questions & Answers

QUESTION:

Problem 34P

Find the (Lorenz gauge) potentials and fields of a time-dependent ideal electric dipole p(t) at the origin.23 (It is stationary, but its magnitude and/or direction are changing with time.) Don’t bother with the contact term.

ANSWER:

Solution

Step 1 of 4

In this problem, we have to find the Lorenz gauge potentials and the fields of a time-dependent electric dipole. The retarded potentials are

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