GATE Electrical – Analog Electronics
Practice Problems – Page 15
This section contains problems based on Operational Amplifier Integrator and Differentiator circuits.
Problem 141
Question:
What is an integrator circuit?
Answer:
An integrator is an op-amp circuit whose output voltage is proportional to the integral of the input voltage.
Problem 142
Question:
Write the output voltage equation of an op-amp integrator.
Answer:
Vo = − (1/RC) ∫ Vin dt
Problem 143
Question:
If R = 10 kΩ and C = 0.1 μF, find RC.
Solution:
RC = 10,000 × 0.1 × 10⁻⁶
RC = 0.001 sec
Problem 144
Question:
What is the output waveform of an integrator if input is a square wave?
Answer:
Triangular waveform
Problem 145
Question:
Define differentiator circuit.
Answer:
A differentiator produces an output proportional to the rate of change of input voltage.
Problem 146
Question:
Write the output equation of an op-amp differentiator.
Answer:
Vo = − RC (dVin/dt)
Problem 147
Question:
If input is a triangular waveform, what is the output of a differentiator?
Answer:
Square wave
Problem 148
Question:
Why is practical differentiator used instead of ideal differentiator?
Answer:
To avoid excessive noise amplification and instability.
Problem 149
Question:
Where are integrator circuits commonly used?
Answer:
Analog computers, signal processing and waveform generation.
Problem 150
Question:
Where are differentiator circuits used?
Answer:
Edge detection and wave shaping circuits.
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