GATE EC 2022 Set 1 — Question 26
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Analog Circuits → LTI Systems → Filters & Bandwidth
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Question
An ideal OPAMP circuit with a sinusoidal input is shown in the figure. The 3 dB frequency is the frequency at which the magnitude of the voltage gain decreases by 3 dB from the maximum value. Which of the options is/are correct?
Correct answer
(B) The circuit is a high pass filter.; (C) The 3 dB frequency is 1000 rad/s.
Solution
The transfer function of the inverting amplifier is .
Here, and .
.
This is the transfer function of a high-pass filter because it has a zero at the origin and a pole at .
The maximum gain magnitude (at high frequencies) is .
The 3 dB frequency is the pole frequency, .
Thus, the circuit is a high-pass filter and the 3 dB frequency is 1000 rad/s.
Here, and .
.
This is the transfer function of a high-pass filter because it has a zero at the origin and a pole at .
The maximum gain magnitude (at high frequencies) is .
The 3 dB frequency is the pole frequency, .
Thus, the circuit is a high-pass filter and the 3 dB frequency is 1000 rad/s.
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