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Session 27: Power in EM Waves Supplemental Instruction Iowa State University Leader: Course: Instructor: Date: Garrett Schieber Phys 222 Dr. Al-Saqer 11/12/14 Warm-up 1) At a distance of 8.5 km from a radio transmitter, the amplitude of the oscillating electric field in the radio wave is Eo = 0.13 V/m. What is the maximum value of the energy-density of the electromagnetic field at this location (in J/m3)? a) 7.5 x 10-14 b) 3.0 x 10-13 c) 4.5 x 10-5 d) 2.2 x 10-5 e) 1.5 x 10-13 2) A standing electromagnetic plane wave is given by 𝜋 3𝜋 𝑬(𝑥, 𝑡) = 𝑗̂cos( 𝑥 − ∗ 108 𝑡) 2 2 where x is in meters, t in seconds, and all angles are in radians. What is the wavelength (in m) of the wave? a) 2 m b) 1.27 m c) 12.6 m d) 4 m e) 1.0 m Team Activity 3) An intense light source radiates uniformly in all directions. At a distance of 5.3 m from the source the radiation pressure on a perfectly absorbing surface is 7.5×10−6 N/m2. What is the average power output of the source? (Book 32.25) Supplemental Instruction 1060 Hixson-Lied Student Success Center 294-6624 www.si.iastate.edu Challenge Problem: 4) A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of 0.600 m2. At the window, the electric field of the wave has an rms value 2.20×10−2 V/m. How much energy does this wave carry through the window during a 30 s commercial? (Book 32.18) 5) A plane electromagnetic wave with wavelength λ is given by: What is the magnitude and direction of the amplitude of the B-field B0 if the wave is traveling in the –y direction? a. 6.7 * 10-9 T in the + x direction b. 6.7 * 10-9 T in the - x direction c. 1.5 * 10-7 T in the + x direction d. 1.5 * 10-7 T in the - x direction e. 2.1 * 10-6 T in the + x direction