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Determine the mode of operation (saturation, linear, or cutoff) and drain current (ID) for each of the biasing configurations given below. Use the following transistor data: NMOS: kn​=115μA/V², Vth​=0.43V, PMOS: kp​=304μA/V², Vth​=−0.4V. Assume (W/L)=1.

NMOS: VGS​=2.5V, VDS​=2.6V.

User Jayne
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Final answer:

The NMOS transistor with the given parameters is in saturation mode, and the calculated drain current (ID) is approximately 246.2μA.

Step-by-step explanation:

To determine the mode of operation (saturation, linear, or cutoff) and the drain current (ID) for the given NMOS with kn=115μA/V², Vth=0.43V, VGS=2.5V, and VDS=2.6V, we first assess the thresholds. For an NMOS transistor:

  • If VGS < Vth, the transistor is in cutoff.
  • If VGS > Vth and VDS < (VGS - Vth), it's in the linear (or triode) region.
  • If VGS > Vth and VDS >= (VGS - Vth), it's in saturation.

In our case, VGS (2.5V) is greater than Vth (0.43V), and VDS (2.6V) is greater than (VGS - Vth), which is 2.07V. Thus, the NMOS is in saturation.

To calculate the drain current (ID) in saturation for the NMOS, we use the equation:

ID = 0.5 × kn × (W/L) × (VGS - Vth)²

Substituting the given values:

ID = 0.5 × 115μA/V² × (2.5V - 0.43V)²

ID ≈ 0.5 × 115μA/V² × (2.07V)²

ID ≈ 0.5 × 115μA/V² × 4.2849V²

ID ≈ 0.5 × 115 × 4.2849 μA

ID ≈ 246.2μA

Therefore, the NMOS transistor is in saturation, and the drain current is approximately 246.2 μA.

User Mobin Al Hassan
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