E7G02 - What is the frequency response of the circuit in E7-3 if a capacitor is added across the feedback resistor?

Question

What is the frequency response of the circuit in E7-3 if a capacitor is added across the feedback resistor?

Answer Options

  • A) High-pass filter
  • B) Low-pass filter
  • C) Band-pass filter
  • D) Notch filter

Correct Answer: B


Explanation

Figure E7-3 shows a basic inverting operational amplifier configuration, which amplifies all frequencies equally in its basic form. Adding a capacitor across the feedback resistor (R_F) changes the characteristics of the negative feedback and transforms the amplifier into an active filter circuit.

In this configuration, the capacitor provides a low-impedance path to ground at high frequencies. This causes the feedback impedance to decrease as frequency increases, which reduces the overall amplifier gain (Gain = -Z_F/R_1). Therefore, the circuit becomes a Low-pass filter, attenuating high frequencies while maintaining a stable gain for low frequencies and \text{DC}.


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