An amplifier has an input signal voltage of 0.054 mV. The output voltage is 12.5 V. The voltage gain in dB is
Question
An amplifier has an input signal voltage of 0.054 mV. The output voltage is 12.5 V. The voltage gain in dB is
Solution
To find the voltage gain in dB, we first need to find the voltage gain (Av) in linear form, which is the ratio of the output voltage to the input voltage.
Step 1: Convert the input voltage from mV to V: 0.054 mV = 0.000054 V
Step 2: Calculate the voltage gain (Av): Av = Vout / Vin Av = 12.5 V / 0.000054 V Av = 231481.481
Step 3: Convert the voltage gain (Av) to dB: Gain(dB) = 20 log10(Av) Gain(dB) = 20 log10(231481.481) Gain(dB) = 107.28 dB
So, the voltage gain of the amplifier is approximately 107.28 dB.
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