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Q.

An audio signal given by es=15sin2π2000t  modulates a carrier wave ec=80sin2π100,000 t. Calculate frequency spectrum of the modulate wave.

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a

96KHz   to 100 KHz

b

102 KHz  to 106 KHz

c

98 KHZ  to 102 KHz

d

94 KHZ    to   98 KHz

answer is C.

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Detailed Solution

By comparing equations with standard form  es=essin2πfst=15sin2π2000t ec=ecsin2πfct=80sin2π100,000t  So, fs=2000Hz ,           fc=100,000 Hz ∴fLSB=fc−fs=100000−2000=98 KHz fUSB=fc+fs=100000+2000=102 KHz Thus,   frequency spectrum of modulated wave extends from 98KHz  to 102 KHz
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An audio signal given by es=15sin2π2000t  modulates a carrier wave ec=80sin2π100,000 t. Calculate frequency spectrum of the modulate wave.