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For a 3-stage amplifier having gains of 5 dB, 10 dB and 15 dB respectively, the overall gain would be :

  • A.750 dB
  • B.15 dB
  • C.25 dB
  • D.30 dB

Answer: D

The overall gain is 30 dB.

The voltage gains of cascaded stages multiply, and since decibels are logarithmic, multiplying gains means adding their decibel values:

\[ G = 5 + 10 + 15 = 30\ \text{dB} \]

750 dB is the mistake of multiplying the decibel figures (5 × 10 × 15). 15 dB takes only the largest stage, and 25 dB adds only two stages.

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