# Hertzian diople, magnetic field and relation to Maxwell's equations

1. May 3, 2017

### kings

1. The problem statement, all variables and given/known data
Show how the given physical magnetic field is consistent with a monochromatic plane wave solution to Maxwell equation

2. Relevant equations

Physical:
> Bphys(t) = B0 sin (2πft) ex

Maxwells:
> B = iB0 exp[i(kz − ωt)] ex.

3. The attempt at a solution
I know that field is the real part of maxwells equation but im struggling to find how to can work out how to get from one to the other?
I also got that ω=2πf and k = ω/c
Am i heading the right direction?

Last edited: May 3, 2017
2. May 4, 2017

### kuruman

What is i ($=\sqrt{-1}$) written in terms of an exponential?