This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Convert the input voltage to Volts. V_in = 120 mV = 120 × 10^-3 V = 0.120 V The output voltage is given as V_out = 6 V. Step 2: Calculate the voltage gain in decibels using the formula: A_V,dB = 20 _10 ( V_outV_in ) Substitute the values: A_V,dB = 20 _10 ( 6 V0.120 V ) Step 3: Perform the division inside the logarithm. A_V,dB = 20 _10 (50) Step 4: Calculate the logarithm and multiply by 20. A_V,dB = 20 × 1.69897 A_V,dB = 33.9794 dB Rounding to two decimal places: A_V,dB ≈ 33.98 dB The voltage gain of the amplifier in decibels is 33.98 dB.