Suppose the electric field associated with the radio transmissions of a medical

Question

Suppose the electric field associated with the radio transmissions of a medical helicopter is given by the following formula: E(x,t) = (400 N/C) cos[(40 nm1) x (12 s1) t] Find the wave number, the angular frequency, the wavelength, and the frequency of the EM wave comprised of this electric field. Suppose the electric field associated with the radio transmissions of a medical helicopter is given by the following formula: E(x,t) = (400 N/C) cos[(40 nm1) x (12 s1) t] Find the wave number, the angular frequency, the wavelength, and the frequency of the EM wave comprised of this electric field. Suppose the electric field associated with the radio transmissions of a medical helicopter is given by the following formula: E(x,t) = (400 N/C) cos[(40 nm1) x (12 s1) t] Find the wave number, the angular frequency, the wavelength, and the frequency of the EM wave comprised of this electric field.

Explanation / Answer

Given,

E(x,t) = (400 N/C) cos[(40 nm1) x (12 s1) t]

we know that the general eqn of electromagnetoc wave propagation is:

E = Em cos(kx - wt)

On comparing with the given eqn, we get

k = 40 pi rad/m

w = 12 pi rad/s

wavelength is related to k as :

k = 2 pi/lambda

lambda = 2 pi/k

lambda = 2 x pi/40 pi = 0.05 m

lambda = 0.05 m

w = 2 pi f

f = w/2 pi = 12 pi/2 pi = 6 Hz

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