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A 1 KW signal is transmitted using a communication channel which provides attenuation at the rate of - 2dB per km. If the communication channel has a total length of 5 km, the power - Physics

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प्रश्न

A 1 KW signal is transmitted using a communication channel which provides attenuation at the rate of – 2dB per km. If the communication channel has a total length of 5 km, the power of the signal received is `["gain in dB" = 10 log ("P"_0/"P"_"i")]`

विकल्प

  • 900 W

  • 100 W

  • 990 W

  • 1010 W

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उत्तर

100 W

Explanation:

Power of the signal transmitted is Pi = 1 KW = 1000 W

rate of attenuation of signal is = `-2("dB"/"km")`

Length or total path = 5 km

thus less suffered in the communication channel = (5) (– 2) = – 10 dB and gain in

dB = 10 log `("P"_0/"P"_"i")`

dB = – 10 log `("P"_"i"/"P"_0)`

– 10 = – 10 log `("P"_"i"/"P"_0)`

log' `("P"_"i"/"P"_0) = 1 ("P"_"i"/"P"_0) = 10`

P0 = `("P"_"i"/"P"_0) = 1000/10` = 100 W

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अध्याय 15: Communication Systems - Exercise [पृष्ठ ९९]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 12
अध्याय 15 Communication Systems
Exercise | Q 15.03 | पृष्ठ ९९

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