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Fields, Gauges and Potential

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In a certain region of space, we have the potentials shown in the attachment.

a) What is the electric field E in this region?
b) What is the magnetic field B in this region?
c) Given the gauge function in the attachment, find the new potentials V' and A'.
d) What is (are) the source(s) that created these potentials? (Note: the electric field gives the best hint)
e) After the transformation, are we working in the Coulomb gauge, the Lorentz gauge, or both?

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