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Question

What is the value of output voltage $V_o$ in the given circuit? Assume op-amp to be ideal and MOSFET operating in saturation region.

The correct answer is
$0.25 \ V$

To find the output voltage \( V_o \) in the given circuit, follow these steps. The circuit includes an ideal op-amp and a MOSFET operating in the saturation region.

  1. Since the op-amp is ideal, the voltage at the inverting and non-inverting terminals will be equal due to the virtual short concept. Thus, V^+ = V^- = 2 \, \text{V}.
  2. The voltage at the inverting terminal is governed by the voltage divider formed by the 3V source and the 4kΩ resistor. V^- = 2 \, \text{V} is set by the circuit configuration.
  3. In the saturation region, the drain current \( I_D \) of the MOSFET is relatively constant and is determined by the gate voltage, derived from the op-amp output.
  4. Assuming the MOSFET is perfectly controlled in saturation, the voltage V_o = I_D \times 1\text{k}\Omega is determined by the current through the 1kΩ resistor.
  5. Since the gate-source voltage is set by the op-amp to achieve the virtual short condition, and \( V^- = 2 \, \text{V} \), it indirectly sets \( I_D \) such that I_D \times 1\text{k}\Omega = 0.25 \, \text{V}.
  6. Thus, the output voltage V_o = 0.25 \, \text{V}.

Therefore, the correct answer is 0.25 V.

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Important Questions from Op-Amp and Its Applications

  1. In the circuit shown below, $R$ is $1\text{ k}\Omega$ and $R_f$ is $10\text{ k}\Omega$. If $V_{\text{in}}$ is $100\text{ mV}$ and the op-amps have supply voltages of $\pm 15\text{ V}$, then $V_{\text{out}}$ is _______ V.

  2. For IC 741 circuit shown below, the maximum input frequency above which the output will be distorted is ____________. 

  3. Assume that an op-amp 741 connected as a unit gain inverting amplifier is applied with an input change of 10 V. Determine the time taken for the output to change by 10 V. [Slew rate for op-amp 741 = 0.5 V/µs]

  4. In an ideal op-amp, the common mode gain is _____________.

  5. Assertion (A) : An Op-Amp is a direct coupled high gain amplifier.

    Reason (R) : It consists of one or more differential amplifiers and usually followed by a level translator and push pull stage.

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