Electricity and Magnetism · Problem 9.19

ELECTRIC FIELDS IN MATTER — Edward Purcell & David Morin

Physics — E&M · em-waves

Problem

Write out formulas for

\mathbf{E}

and

\mathbf{B}

that specify a plane electromagnetic sinusoidal wave with the following characteristics. The wave is traveling in the direction

-\hat{\mathbf{x}}

; its frequency is 100 megahertz (MHz), or

10^8

cycles per second; the electric field is perpendicular to the

\hat{\mathbf{z}}

direction.