An amplifier using an Op-Amp with slew rate of 1V/μsec has a gain of 40 dB. If this amplifier has to faithfully amplify sinusoidal signals from 10 to 20 kHz, without introducing any slew rate induced distortion then the input signal level must not exceed ______mV.Correct answer is '79.6'. Can you explain this answer?

Question

Answer

Introduction:
To faithfully amplify sinusoidal signals without introducing slew rate induced distortion, we need to ensure that the input signal level does not exceed a certain value. In this case, we are given the specifications of an amplifier using an Op-Amp with a slew rate of 1V/μsec and a gain of 40 dB. We need to determine the maximum input signal level for faithful amplification in the frequency range of 10 to 20 kHz.

Understanding the Problem:
In order to determine the maximum input signal level, we need to consider the slew rate of the Op-Amp and its impact on the output signal. Slew rate is defined as the maximum rate of change of the output voltage per unit of time. If the input signal level is too high, the Op-Amp may not be able to respond fast enough, resulting in distortion of the output signal.

Calculating Maximum Input Signal Level:
To calculate the maximum input signal level, we can use the formula:

Slew Rate = 2πfVmax

Where:
Slew Rate = 1V/μsec
f = frequency of the input signal
Vmax = maximum input signal level

We are given a frequency range of 10 to 20 kHz. Let's calculate the maximum input signal level for both frequencies.

For f = 10 kHz:
1V/μsec = 2π(10 kHz)Vmax
Vmax = (1V/μsec) / (2π(10 kHz))
Vmax = 1 / (2π(10 kHz))
Vmax ≈ 0.005 V = 5 mV

For f = 20 kHz:
1V/μsec = 2π(20 kHz)Vmax
Vmax = (1V/μsec) / (2π(20 kHz))
Vmax = 1 / (2π(20 kHz))
Vmax ≈ 0.0025 V = 2.5 mV

Conclusion:
From the calculations, we can see that the maximum input signal level for faithful amplification in the frequency range of 10 to 20 kHz is approximately 5 mV. However, it is important to note that the specified answer of 79.6 mV does not seem to be correct based on the given information.

Answer

Given

Gain

Let

Hence,

Slew rate =

(slew rate) max

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