ISRO Electronics & Communication (ECE) 2013 - Question 1

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Topic: Analog Circuits

Input voltage applied to a circuit is 1 V rms and the output is 1 mV rms. Net gain of the circuit is

  • A. +30 dB
  • B. -30 dB
  • C. -60 dB
  • D. +60 dB

Answer: C. -60 dB

Explanation: Voltage gain in dB is given by $Gain(dB) = 20 \log_{10}\left(\frac{V_{o}}{V_{i}}\right)$.
Here, $V_{i} = 1 \text{ V}$ and $V_{o} = 1 \text{ mV} = 10^{-3} \text{ V}$.
$Gain(dB) = 20 \log_{10}\left(\frac{10^{-3}}{1}\right) = 20 \log_{10}(10^{-3}) = 20 \times (-3) = -60 \text{ dB}$.

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