(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to solve prob 4.107 in Schaums' Vector analysis book.

Show that solution to Maxwells equations -

[tex]\Delta[/tex]xH=1/c dE/dt, [tex]\Delta[/tex]xE= -1/c dH/dt, [tex]\Delta[/tex].H=0, [tex]\Delta[/tex].E= 4pi[tex]\rho[/tex]

where [tex]\rho[/tex] is a function of x,y,z and c is the velocity of light, assumed constant, are given by

E = -[tex]\Delta[/tex][tex]\phi[/tex]-1/c dE/dt, H= [tex]\Delta[/tex]xA

where A and [tex]\phi[/tex], called the vector and scalar potentials, respectively satisfy the equations

[tex]\Delta[/tex].A + 1/c d[tex]\phi[/tex]/dt =0

[tex]\Delta[/tex]^2 [tex]\phi[/tex] - 1/c (d^2 [tex]\phi[/tex]/dt^2) = -4pi[tex]\rho[/tex]

[tex]\Delta[/tex]^2 A = 1/c^2 (d^2A/dt^2)

2. Relevant equations

3. The attempt at a solution

I don't understand the problem. Should I show that E = -[tex]\Delta[/tex][tex]\phi[/tex]-1/c dE/dt, H= [tex]\Delta[/tex]xA satisfies the vector and scalar potential equations?

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# Homework Help: Solution to Maxwells equations

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