An amplifier has voltage gain and current gain of 10 and 100 respectively. The voltage, current and power gain in decibels, respectively, will be:

Correct option is B

To determine the voltage gain, current gain, and power gain in decibels (dB), we use the following formulas:

1. Voltage Gain in dB: $$A_v(dB) = 20 \log A_v$$

Given $$A_v = 10$$

$$A_v(dB) = 20 \log A_v$$

$$A_v(dB) = 20 \log 10 = 20 \times 1 = 20 \text{ dB}$$

Current Gain in dB: $$A_i(dB) = 20 \log A_i$$

Given $$A_i = 100$$

$$A_i(dB) = 20 \log 100 = 20 \times 2 = 40 \text{ dB}$$

Power gain is given by: $$A_p = A_v \times A_i$$

$$A_p = 10 \times 100 = 1000$$

$$A_p(dB) = 10 \log A_p$$

$$A_p(dB) = 10 \log 1000 = 10 \times 3 = 30 \text{ dB}$$

The voltage, current, and power gains in decibels are $$\text{ 20, 40, and 30 dB}$$. ​