The magnetic field of an electromagnetic wave is described by B_y = B_0cos(kx -

Question

The magnetic field of an electromagnetic wave is described by B_y = B_0cos(kx - omega t). Where B_0 = 7.5 times 10_6 T and omega = 8.5 times 10^7 rad/s. Randomized Variables B_0 = 7.5 times 10^-6 T omega = 8.5 times 10^7 rad/s What is the amplitude of the correspondmg electric field oscillations. E_0, in terms of B_0? E_0 =_________________________ Calculate the electric field E_0 in volts per meter. What is the frequency of the electromagnetic wave. f in terms of omega? What is the wavelength of the electromagnetic wave. lambda in terms of omega and the speed of light c? Calculate the wavelength lambda in meters.

Explanation / Answer

a) Eo and Bo satisfy the equation Eo/Bo = c

=> Eo = cBo

b) Eo = (3 * 108) * (7.5 * 10-6) = 2250 V/m

c) f = /2

d) = c/f = 2c/

e) = 2 * (3 * 108) / 8.5 * 107) = 22.2 m

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