(2) Imagine that a sinusoidal electromagnetic wave has an electric field that ha
ID: 1262910 • Letter: #
Question
(2) Imagine that a sinusoidal electromagnetic wave has an electric field that has an amplitude of 300 N/C arid points parallel to the yz plane along a line 300 from the z axis toward the y axis. Imagine that we write this wave as a sum of horizontally and vertically polarized waves. (a) What are the values of the amplitude of cadi of these different polarizations? (Hint: We are writing our electric field in this form: E = E cos(kx - wt)3 + E cos(kx - wt)k) (b) At an instant when the z?component of E is positive, what are the magnitude arid direction of B?Explanation / Answer
PART A:
Ey = 300 N/C * sin 30
Ey = 150 N/C [ANSWER, amplitude along y]
Ez = 300 N/C * cos 30
Ez = 259.9 N/C [ANSWER, amplitude along z]
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The magnitude of the B field is always |E|/c. [ANSWER]
The wave travels along the + x direction as well can tell from the equation.
Thus, as the B field is always perpendicular to the E field, we can tell it has direction 30 degrees from the positive y axis towards the -z axis. [ANSWER]
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