A dish antenna with a diameter of 10.8 m receives (at normal incidence) a radio

Question

A dish antenna with a diameter of 10.8 m receives (at normal incidence) a radio signal from a distant source, as shown in the figure below. The radio signal is a continuous sinusoidal wave with amplitude E(max) = 0.28 uV/m. Assume the antenna absorbs all the radiation that falls on the dish.

A dish antenna with a diameter of 10.8 m receives (at normal incidence) a radio signal from a distant source, as shown in the figure below. The radio signal is a continuous sinusoidal wave with amplitude E(max) = 0.28 uV/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? (T) (b) What is the intensity of the radiation received by the antenna? (W/m^2) (c) What is the power received by the antenna? (W)

Explanation / Answer

sol: suppose that, so we getr Equating energy densities of magnetic and electric fields. eE²/2 = B²/2µ eE² = B²/µ B = v(eE²µ) Note : 1 / v(eµ) = c (speed of light) B = E / c = 200 / (3 x 10^8) = 6.67 x 10^-7 Tesla answer

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