A ham radio operator A ham radio operator has a dipole antenna l = 3.0 meters lo

Question

A ham radio operator A ham radio operator has a dipole antenna l = 3.0 meters long oriented parallel to the ground and pointed in the north/south direction. The operator drives the antenna at a frequency of 14.4 MHz. 1) What is the wavelength of the resulting electromagnetic radiation? 2) How long does it take the signal to reach a receiving antenna 550 miles to the east of the transmitter? 3) What direction does the magnetic field point on the waves traveling toward the receiving antenna (N/S, E/W, up/down, etc.)? What direction should the receiving antenna (another dipole antenna) be oriented for the best reception? 4) If the receiving antenna is hooked up to an LRC circuit with a 0.82 muH inductor and a variable capacitor, what should the capacitance be to receive the incoming signal?

Explanation / Answer

(a):

lembda = c / f

lembda = 3*10^(8) / (14.4*10^(6))

lembda = 20.83 m

(b):

intensity of transmitted wave alone axis is always zero and here in question it is east and wet direction

therefore no signal will be reaching at receiver placed in est.

(c):

for best reception the antenna must be placed in N/S direction.

()d:

frequency = (1/ (2*pi)) * 1/ (sqrt(LC))

14.4*10^(6) = (1/ (2*pi)) * 1/ (sqrt( 0.82*10^(-6) * C))

solve for C to get capacitance.

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