# Ohmic heating in a conductor

question
For a plane wave of the form E(z,t)=Ee^i(kz-wt) and B(z,t)=Ee^(-kz)*e^i(kz-wt) write down the time-averaged ohmic heating loss per unit volume for any z.

## Homework Equations

J=$$\sigma$$E
Maxwell's equations for linear media

## The Attempt at a Solution

not sure where to start, i need a nudge

phyzguy
You know E, and you gave us the equation for J, so you know J. Do you know how to find the Ohmic heating, given J and E?

yea i figured it out. you take the dot product of J and E.

ok now i have Re($$\sigma$$) ((Ee^(-kz)e^i(kz-$$\omega$$t))^2)/2

is this right? do i need to simplify if im going to integrate with respect to z?

phyzguy