3. (a) i) Write and describe two potential equations which are equivalent to the Maxwell's Equations. ii) State and desc

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3 A I Write And Describe Two Potential Equations Which Are Equivalent To The Maxwell S Equations Ii State And Desc 1 (26.39 KiB) Viewed 34 times

3. (a) i) Write and describe two potential equations which are equivalent to the Maxwell's Equations. ii) State and describe the gauge transformations in electrodynamics. (b) i) ii) Write and describe the Coulomb and the Lorenz gauge. State the advantage and the disadvantage of each of the gauge. (c) The scalar and vector potentials in a region of space are given by the following functions; V(r, t) = 0 and A(z,t) = A,sin(kr - wt)y where A, w, and k are constants. i) Determine the type of gauge of these potentials. ii) Determine the electric E(r, t) and magnetic B(r,t) fields. iii) Do solutions in ii) satisfy Maxwell's Equations in vacuum?