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Homework 1:

A sinusoidal wave traveling in the +z direction in vacuum has a B-field ๐ต = ๐ต cos ๐‘˜๐‘ง โˆ’ ๐œ”๐‘ก)๐‘ฅฬ‚ where

๐‘˜=1.57ร—107 and๐œ”=4.71ร—1015 and๐ต=1.75ฮผ๐‘‡.

a) Find the waves period, wavelength and velocity

b) Find the magnitude of the associated E-field and determine its direction of polarization.

Write your answer in the same format as used for B.

c) What is the energy density ฮผ of this wave and calculate the power transmitted through a 1

m2 area perpendicular to the wave-(Poynting vector).

โƒ—

๐‘ฅ


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