- #1

erisedk

- 374

- 7

## Homework Statement

Why is the following set of electric and magnetic fields invalid?

##E(x, y, z, t)= E_0 \sin{(kz-wt)} \hat{i}##

##B(x, y, z, t) = B_0 \sin{(kz+wt)} \hat{j}##

## Homework Equations

## The Attempt at a Solution

So, I understand that either both should have (kz-wt) or both should have (kz+wt). Either than the fact that the cross product of electric and magnetic fields is a scalar times a vectors that does not depend on time, whereas here the cross product gives me something like a standing wave in the z direction, I'm not sure why both should have (kz-wt) or both should have (kz+wt). Please help.