5. Starting from the curl of E in Maxwell's equation, show that the new vector E'...

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5. Starting from the curl of E in Maxwell's equation, show that the new vector E' = E+ A/at can be expressed as the a gradient of scalar potential, in case of time dependent fields in vacuum. Write down the modified Poisson equation in terms of V and A. Obtain the analogous equation for the vector potential A from the Ampere's law. [all fields are in vacuum]. [2+2+2] 5. Starting from the curl of E in Maxwell's equation, show that the new vector E' = E+ A/at can be expressed as the a gradient of scalar potential, in case of time dependent fields in vacuum. Write down the modified Poisson equation in terms of V and A. Obtain the analogous equation for the vector potential A from the Ampere's law. [all fields are in vacuum]. [2+2+2]