Question

The input power to a device is 10,000 W at 1000 V. The output power is 500 W, and

the output impedance is 100 Ω. Find the voltage gain in decibels.​

Answer 1

For a device having input and output

Find-  Here, we have to find the voltage gain in decibels

Explanation:

Given:-

Input power to a device $P_{in}=10,000 W$

Output power $P_{out}=500 W$

Input voltage $V_{in}$=1000 V

Output Impedance Z=100 Ω

By the formula of power

$P=\frac{V_{o} ^{2} }{R}\\500=\frac{V_{o} ^{2} }{100} \\V_{o} =223.61 V$

voltage gain

$A_{v}=\frac{V_{o} }{V_{i} } \\=\frac{223.61}{1000}\\A_{v}=0.223$

voltage gain in decibels

=$20log(0.223)=-13.01 dB$