Consider the scalar and vector potential, A(r,t) = Age¹(K-r-wt) (F,t) = 0 where Ão, k and w are constants. a) Show that

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Consider The Scalar And Vector Potential A R T Age K R Wt F T 0 Where Ao K And W Are Constants A Show That 1 (39.6 KiB) Viewed 47 times

Consider the scalar and vector potential, A(r,t) = Age¹(K-r-wt) (F,t) = 0 where Ão, k and w are constants. a) Show that x à = ik x A. b) Find the electric field E(r, t) and the magnetic induction B(r,t). c) Use Maxwell's equations in vacuum (p = 0 and 3 = 0) to obtain constraints on the constants Ão, k and w. This gives a relation between the constants k and w. d) Give an interpretation of the constraints you found.