A plane electromagnetic wave travels in vacuum in the +y-direction with frequency f = 96 MHz (1 MHz = 106 Hz). Its electric field is oscillating in the ±z direction and has amplitude E, = 0.250 V/m. (a) Find the wavelength A of the wave. (b) Determine the amplitude of the magnetic field Bo of the wave. (c) Write down the vector equations for the electric and magnetic fields of this wave, i.e. Ē(y,t) and B(y,t). Assume E(0, 0) = Eo/2 and B(0,0) = Bo/2. (Hint: According to Faraday's law, the amplitudes Eo and Bo of the electric and magnetic fields of a plane electromagnetic wave are related by Eo = cBo.)
A plane electromagnetic wave travels in vacuum in the +y-direction with frequency f = 96 MHz (1 MHz = 106 Hz). Its electric field is oscillating in the ±z direction and has amplitude E, = 0.250 V/m. (a) Find the wavelength A of the wave. (b) Determine the amplitude of the magnetic field Bo of the wave. (c) Write down the vector equations for the electric and magnetic fields of this wave, i.e. Ē(y,t) and B(y,t). Assume E(0, 0) = Eo/2 and B(0,0) = Bo/2. (Hint: According to Faraday's law, the amplitudes Eo and Bo of the electric and magnetic fields of a plane electromagnetic wave are related by Eo = cBo.)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section: Chapter Questions
Problem 32PQ
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