A sinusoidal plane electromagnetic wave of frequency 20 GHz moves in the positive y direction and its electric field is directed along the z-axis. The amplitude of the electric field is 10 V/m. The start of time is chosen so that at t = 0, the electric field has a value +(10 V/m)k at the origin. a. Write the function that describes the electric field of the wave as a function of position y and time t. Hint: Among other things, you need to decide whether to use a cosine or sine function, and whether a negative sign is needed inside and/or outside the sine/cosine function. b. Explain why the electric field is not a function of the x or z coordinate. c. Find the function that describes magnetic field of the wave as a function of position y and time t.
A sinusoidal plane electromagnetic wave of frequency 20 GHz moves in the positive y direction and its electric field is directed along the z-axis. The amplitude of the electric field is 10 V/m. The start of time is chosen so that at t = 0, the electric field has a value +(10 V/m)k at the origin. a. Write the function that describes the electric field of the wave as a function of position y and time t. Hint: Among other things, you need to decide whether to use a cosine or sine function, and whether a negative sign is needed inside and/or outside the sine/cosine function. b. Explain why the electric field is not a function of the x or z coordinate. c. Find the function that describes magnetic field of the wave as a function of position y and time t.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A sinusoidal plane
a. Write the function that describes the electric field of the wave as a function of position y and time t. Hint: Among other things, you need to decide whether to use a cosine or sine function, and whether a negative sign is needed inside and/or outside the sine/cosine function.
b. Explain why the electric field is not a function of the x or z coordinate.
c. Find the function that describes magnetic field of the wave as a function of position y and time t.
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