EM Waves Problem 4:   Radio waves travel through air at approximately the speed of light, c. Imagine your local FM radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f = 104.5 MHz. The waveform of the electric-field component is E(x, t) = E0sin(Φ(x, t)), where Φ(0, 0) = 0 and the amplitude is E0 = 0.46 N/C.  Part (a)  Enter an expression for the function Φ(x, t) in radians, in terms of the defined quantities, the position, x, and the time, t.   Part (b)  Calculate the value of the electric field, in newtons per coulomb, of the wave at the position x = -3.8 m at the time t = 0.015 μs.

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Chapter1: Units, Trigonometry. And Vectors
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EM Waves

Problem 4:   Radio waves travel through air at approximately the speed of lightc. Imagine your local FM radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f = 104.5 MHz. The waveform of the electric-field component is E(xt) = E0sin(Φ(xt)), where Φ(0, 0) = 0 and the amplitude is E0 = 0.46 N/C.

 Part (a)  Enter an expression for the function Φ(xt) in radians, in terms of the defined quantities, the position, x, and the time, t

 Part (b)  Calculate the value of the electric field, in newtons per coulomb, of the wave at the position x = -3.8 m at the time t = 0.015 μs. 

 

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