Part A Problem 29.59 Find the peak electric field A radar system produces pulses

Question

Part A Problem 29.59 Find the peak electric field A radar system produces pulses consisting of exactly 100 full cycles of a sinusoidal 72.5-GlIelectromagnetic wave. The average power while the transmitter is on 66.0 MW and the waves are confined to a beam 25.4 cmin diameter Express your answer with the appropriate units. My Answers Give Up Part B Find the wavelength. Express your answer with the appropriate units. | Value Units Submit My Answers Give Up Part C Find the total energy in one puise Express your answer with the appropriate units. 1 Value Units My Answers Give Up Part D Find the total momentum in one pulse. Express your answer with the appropriate units. PValue Units My Answers Give Up Part E f the transmitter produces 945 pulses each second, what's its average power output? Express your answer with the appropriate units.

Explanation / Answer

The average intensity in a pulse is the average power during the pulse divided by the beam area

  = 66/(pi/4) x 0.2542 = 1302.53 MW/m2

A) peak electric field, Ep = (2 x 4 pi x 10-7x 3 x 108x 1302.53)1/2 = 9.91 x 105 V/m

B) lambda = (3 x 108)/(72.5 x 109) = 4.14 x 10-3 m

C) Time, t = 100/(72.5 x 109) = 1.38 x 10-9 sec

Energy, U = 66 x 106 x 1.38 x 10-9 = 0.091 J

D) Momentum, P = U/c = (0.091)/(3 x 108) = 3.04 x 10-10 Kgm/s

E) t1 = 945 x 1.38 x 10-9 sec = 1.30 x 10-6 s

Power, P = 66 x 106 x 1.30 x 10-6 = 86.07 W

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