Worksheet_Module8

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Physics

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Dec 6, 2023

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1 Worksheet Module 8 - Chapter 24 1. (a) Describe what an electromagnetic wave is: Vibrations between an electric field and magnetic field (b) What is the relationship between the magnitude of the electric field E and the magnetic field B for an EM wave? (c) What is the relationship between the speed of propagation of a wave, the frequency of oscillation of the wave and its wavelength? Provide units. 2. Guided problem: The maximum magnetic field strength of an electromagnetic field is 5x10 -6 T. Calculate the maximum electric field strength if the wave is traveling in a medium in which the speed of the wave is 0.75c. - what is B? - calculate 0.75c - rearrange the equation in 1b to solve for E. Consider that c is replaced by 0.75c in that equation. 3. The maximum electric field strength of an electromagnetic field is 4500 V/m. Calculate the maximum magnetic field strength if the wave is traveling in a medium in which the speed of the wave is 0.9c.

2 4. (a) What are the three equations for average intensity of an electromagnetic wave? Provide units. (b) What is the peak intensity I 0 of this electromagnetic wave? (c) What is the relationship between the area through which an electromagnetic wave of average intensity I ave travels and the power of the EM source? 5. Guided problem What is the intensity of an electromagnetic wave with a peak electric field strength of 205V/m? (3*10^8) (205)^2 (8.85*10^-12)/2 = 55.7881 - what is E 0 ?205 - using one of the equations you listed in 4a, find I ave : 6. Find the intensity of an electromagnetic wave having a peak magnetic field strength of 5mT. ½ (5 * 10^-3)^2* (3 * 10^8) / 4pie * 10 ^-7 = 2.98 * 10 ^9 7. Guided problem A laser has a power output of 43 mW. When projected onto a circular spot 2 mm in diameter, what is its intensity? - what is the power of the EM wave (laser)? - rearrange the equation you listed in 4c to find I ave :

3 8. An EM wave has a power output of 12W. When projected onto a circular spot 5 mm in diameter, what is its intensity? 12 / pie * 2.5^2 *10^-6 = 6.11 * 10^5 9. What is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 7x10 -3 T? (7x10 -3 ) (3*10^8) = 2100000/10^3 = 2100 10. The maximum electric field strength of a wave traveling through a medium in which the speed of the wave is 0.4c is 2.3x10 4 V/m. What is the maximum magnetic field strength? (2.3x10 4 ) /( 1.2 * 10^ 8) = 1.916 * 10 ^-4 11. Calculate the wavelength of a microwave of frequency 950 MHz. (3*10^8)/ (9.5 * 10^8) = 0.316 m 12. Calculate the frequency of an infrared wave with wavelength of 18  m. (3*10^8)/ (18 * 10^-6) = 1.66 * 10^13 13. Find the frequency range of visible light ranging from 400 to 750 nm. I = (3*10^8) / (400 * 10^-9) = 7.5 * 10^14 F = (3*10^8)/ (750 * 10^-9) = 4 * 10^14 Frequency range = (3*10^8) -- 7.5 * 10^14

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