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(17%) Problem 6: A 3.25 m diameter university communications satellite dish rece

ID: 1731368 • Letter: #

Question

(17%) Problem 6: A 3.25 m diameter university communications satellite dish receives TV signals that have a maximum electric field strength (for one channel) of 5.5 ?V/m Randomized Variables d 3.25 m Otheexpertta.com 33% Part (a) What is the intensity of this wave in W/m2? X 33% Part (b) what is the power received by the antenna in W? Grade Summary Deductions 0% Potential P 1.6675810 13 51 1011% Submissions 789HOME Attempts remaining: 9 (0% per attempt) detailed view cotan0asinO acos(0 atan) acotan)sinh) coshO tanh cotan0 1 2 3 | 0% 0 ENI Degrees O Radians VOI BACKSPACE | DEL| CLEAR Hint FeedbackI give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback - 33% Part (c) If the orbiting satellite broadcasts uniformly over an area of 1.50 x 1013 m2 does it radiate in W? a large fraction of North America), how much power

Explanation / Answer

(a) I =c??E²/2
=3*10?*8.85*10?¹²*(5.5*10??)²/2
=4.02*10?¹?W/m²

(b) P=I•A
=I•?D²/4
=(4.02*10?¹?*?*3.25²)/4
=3.33*10?¹³ W

(c) P(total)=P•A(total)
=3.33*10?¹³*1.5*10¹³
=4.99 W