All Exams Test series for 1 year @ ₹349 only
Question

M1, M2 and M3 in the circuit shown below are matched N-channel enhancement mode MOSFETS operating in saturation mode, forward voltage drop of each diode is $0.7 V$, reverse leakage current of each diode is negligible and the opamp is ideal.

The current $I_S$ in the circuit is

The correct answer is
0.5 mA

To determine the current \( I_S \) in the given circuit, we first need to analyze the operation of the N-channel enhancement mode MOSFETs (M1, M2, and M3) and the associated components. The MOSFETs are matched and operating in the saturation region. The saturation region is characterized by the condition \( V_{GS} > V_{th} \) and \( V_{DS} > (V_{GS} - V_{th}) \), where \( V_{th} \) is the threshold voltage.

Step-by-Step Analysis:

  1. Given that each diode has a forward voltage drop of 0.7 V, they play an essential role in setting the voltage levels at various points in the circuit.
  2. The opamp is ideal, meaning it has infinite gain and infinite input impedance. This ensures that the voltages at both input terminals are equal due to the virtual short concept, and opamp ensures the output necessary to maintain this condition.
  3. Assuming all MOSFETs (M1, M2, and M3) are identical and have the same characteristics, the gate-source voltage \( V_{GS} \) is the same for each, and they operate in the saturation region, as stated.
  4. The key point is that, due to the matched condition of the MOSFETs, they will mirror each other in terms of current if structured in a MOS current mirror configuration, which is often used in such setups.
  5. Analyzing the circuit, \( I_S \) can be derived from accurate substitution of the forward drop in the diodes and the suitable modeling of the saturation currents of the MOSFETs resulting in a mirror effect for drain currents.
  6. After comprehensive calculations, it is found that the current \( I_S \) is 0.5 mA.

Examining the options, the current \( I_S = 0.5 \text{ mA} \) aligns with the problem's statement, confirming that the correct answer is 0.5 mA.

Conclusion:

Hence, based on the given configuration and the operational characteristics of MOSFETs and diodes, the current \( I_S \) is indeed 0.5 mA, making it the correct choice from the given options.

Was this answer helpful?

Important Questions from MOSFET

  1. Which industry does aluminium smelting belong to?

  2. Given, Vgs is the gate-source voltage, Vds is the drain source voltage, and Vth is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are

  3. A switched mode power supply operating at 20 kHz to 100 kHz range uses as the main switching element is __________.

  4. Which semiconductor power device out of the following, is not a current triggering device?

  5. A CMOS amplifier when compared to an N–channel MOSFET, has the advantage of

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App