b) An electromagnetic wave is travel in free space in the x-axis direction as shown in Figure 7 below. Given the frequency of the wave is 50.0 MHz. i. Calculate the wavelength and period of the wave. ii. Calculate the magnitude and direction of the magnetic field if given at certain point and time the electric field has its maximum value of 800 N/C and is along the y-axis. iii. Write the travelling wave equation for the electric and magnetic field components for this wave. 101 B E Figure 7 x

b) An electromagnetic wave is travel in free space in the x-axis direction as shown in Figure 7 below. Given the frequency of the wave is 50.0 MHz. i. Calculate the wavelength and period of the wave. ii. Calculate the magnitude and direction of the magnetic field if given at certain point and time the electric field has its maximum value of 800 N/C and is along the y-axis. iii. Write the travelling wave equation for the electric and magnetic field components for this wave. 101 B E Figure 7 x

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 51P: A radio station broadcasts at a frequency of 760 kHz. At a receiver some distance from the antenna,...

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Check Your Understanding What conclusions did our analysis of Maxwell's equations lead to about these properties of a plane electromagnetic wave: (a) the relative directions of wave propagation, of the E field, and of B field, (b) the speed of travel of the wave and how the speed depends on frequency, and (c) the relative magnitudes of the E and B fields.
A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?
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What is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 5.00104 (about 10 times Earth's magnetic field)?
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What is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 5.00104T (about 10 times the Earth’s)?
Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.
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