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Potentials and Gauge.

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In certain region of space we have the potentials (given is spherical coordinates)

V =0
A = -1/(4*pi*e0) * pt/r^3 * [2cos(theta) r_hat +sin(theta) theta_hat]

What is the electric field?
What is the magnetic field?

Given the gauge function lambda = -1/(4*pi*e0) * pt/r^2 * cos(theta)
Find the new potentials

What are the sources that created these potentials?

Is this a Coulomb or Lorentz gauge?

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Solution Summary

The 4 page solution contains detailed explanations and derivations of all relevant equations.

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(a)
The electric field is given by:
(1.1)
Setting:

We get:

Therefore the electric field in this region is:
(1.2)
(b)
The magnetic field is given by:
(1.3)
Which gives:

...

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