Question

A circuit has a gain of 14.3 dB. What is this gain in terms of the voltage ratio? (Enter your answer rounded to two decimal places.)

Answer 1

To convert a gain of 14.3 dB to a voltage ratio, use the formula 10^(gain/20). The calculated voltage ratio is approximately 5.15.

Step-by-step explanation:

The gain in decibels (dB) can be converted to a voltage ratio using the following formula:

Gain (dB) = 20 × log10(Voltage Ratio)

To find the voltage ratio when the gain is 14.3 dB, we rearrange the formula:

Voltage Ratio = 10(Gain dB/20)

Substitute the given gain:

Voltage Ratio = 10(14.3/20)

Calculate the voltage ratio:

Voltage Ratio = 100.715 ≈ 5.15

Therefore, the voltage ratio for a gain of 14.3 dB is approximately 5.15.