An amplifier has an input voltage of 10 mV rms and an output voltage of 5 v rms across a 10 ohms load. The inp

An amplifier has an input voltage of 10 mV rms and an output voltage of 5 v rms across a 10 ohms load. The input current is 1 microAmps rms. Assume that the input and output impedances are purely resistive. Find the input resistance. Find the voltage gain,current gain,and power gain as ratios and in decibels

Input R = 10 mV/1µA = 10 kΩ
Voltage gain = 5v/10mv = 500
Input power = EI = 10mV x 1µA = 10nW
output power = E²/R = 5²/10 = 2.5 watts
Power gain = 2.5/10n = 0.25e9 = 2.5e8
output current = 5/15 = 1/2 amp
current gain = 0.5/1µ = 0.5e6 = 5e5

in db
VG = 20 log 500 = 54 dB
IG = 20 log 5e5 = 114 dB
PG = 10 log 2.5e8 = 84 dB

check the arith