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5. A beam of electromagnetic waves of wavelength 5 cm is directed along the negative y- direction in free space. This beam falls at an incident angle of 30° on a sensor of surface area 0.05 m? and absorbs 70% of the incident radiation. The amplitude of the time- averaged electric field detected at the sensor is 150 V/m along the positive x-axis. (a) Write the complete equation of the associated magnetic component of this wave at any time t, showing its amplitude and direction, radian frequency, o, the wave number, k. (b) Find the average intensity of the wave. (c) What is the radiation pressure exerted on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) Write the correct equation with the following calculated numerical values: Bm=5 x 107 T; k = 125.7 m'; o = 3.77 x 10" s'; positive z-direction; (b) 30 W/m²; (c) 1.13 x 10' N/m²; (d) 63 J]

5. A beam of electromagnetic waves of wavelength 5 cm is directed along the negative y- direction in free space. This beam falls at an incident angle of 30° on a sensor of surface area 0.05 m? and absorbs 70% of the incident radiation. The amplitude of the time- averaged electric field detected at the sensor is 150 V/m along the positive x-axis. (a) Write the complete equation of the associated magnetic component of this wave at any time t, showing its amplitude and direction, radian frequency, o, the wave number, k. (b) Find the average intensity of the wave. (c) What is the radiation pressure exerted on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) Write the correct equation with the following calculated numerical values: Bm=5 x 107 T; k = 125.7 m'; o = 3.77 x 10" s'; positive z-direction; (b) 30 W/m²; (c) 1.13 x 10' N/m²; (d) 63 J]

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5. A beam of electromagnetic waves of wavelength 5 cm is directed along the negative y- direction in free space. This beam falls at an incident angle of 30° on a sensor of surface area 0.05 m and absorbs 70% of the incident radiation. The amplitude of the time- averaged electric field detected at the sensor is 150 V/m along the positive x-axis. (a) Write the complete equation of the associated magnetic component of this wave at any time t, showing its amplitude and direction, radian frequency, o, the wave number, k. (b) Find the average intensity of the wave. (c) What is the radiation pressure exerted on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) Write the correct equation with the following calculated numerical values: Bm =5 x 107 T:k= 125.7 m'; o=3.77x 10"s'; positive z-direction; (b) 30 W/m; (c) 1.13 x 10' N/m; (d) 63 J]
Transcribed Image Text:5. A beam of electromagnetic waves of wavelength 5 cm is directed along the negative y- direction in free space. This beam falls at an incident angle of 30° on a sensor of surface area 0.05 m and absorbs 70% of the incident radiation. The amplitude of the time- averaged electric field detected at the sensor is 150 V/m along the positive x-axis. (a) Write the complete equation of the associated magnetic component of this wave at any time t, showing its amplitude and direction, radian frequency, o, the wave number, k. (b) Find the average intensity of the wave. (c) What is the radiation pressure exerted on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) Write the correct equation with the following calculated numerical values: Bm =5 x 107 T:k= 125.7 m'; o=3.77x 10"s'; positive z-direction; (b) 30 W/m; (c) 1.13 x 10' N/m; (d) 63 J]
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