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An audio signal is modulated by a carrier wave of 20MHz such that the bandwidth required for modulation is 3kHz. Could this wave be demodulated by a diode detector which has the values of R and C as
\\(i) R = 1 k\Omega , C = 0.01\mu F\\ (ii) R = 10 k\Omega, C = 0.01\mu F\\ (iii) R = 10 k\Omega, C = 0.1\mu F

Answers (1)

Carrier wave frequency, f_c =20 MHz = 20 \times 10^{6} Hz

Bandwidth = 2fm = 3 \times 10^3 Hz

fm = 1.5 \times 10^3 Hz

\\ \frac{1}{f_c} = 0.5 \times 10^{-7}\\ \\ \frac{1}{f_m} = 0.7 \times 10^{-3}\\ i)\frac{1}{f_c}<<RC< \frac{1}{f_m}

 

Therefore, it can be demodulated

 

ii)\frac{1}{f_c}<<RC<< \frac{1}{f_m}

Therefore, it can be demodulated

iii)\frac{1}{f_c}<RC

Therefore, it cannot be demodulated

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infoexpert21

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