Discussion
Match the List-I with List II and select the correct answer using the codes given below :
| List I | List II |
|---|---|
| (a) Voltage gain = 10 | (i) 10 dB |
| (b) Power gain = 10 | (ii) 40 dB |
| (c) Power gain = 1000 | (iii) 30 dB |
| (d) Voltage gain = 100 | (iv) 20 dB |
Answer: D
The correct matching is a-iv, b-i, c-iii, d-ii.
Decibels use 20 log for voltage ratios and 10 log for power ratios:
- Voltage gain 10: \(20 \log 10 = 20\) dB (iv).
- Power gain 10: \(10 \log 10 = 10\) dB (i).
- Power gain 1000: \(10 \log 1000 = 30\) dB (iii).
- Voltage gain 100: \(20 \log 100 = 40\) dB (ii).
The codes pairing voltage gain 10 with 10 dB use the power formula for a voltage ratio, and the one pairing power gain 1000 with 40 dB mixes the two formulas in the other direction.
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