T 3. Consider the circuit shown below. Assume that both of the transistors are matched, meaning: 1) Kn' is the same for both devices M1 and M2, and is equal to 1.5mA/V2; 2) Vr = 0.5V for both M1 and M2. Recall that K= K₁' (W/L), where W is the width and L is the length of the MOSFET. Further assume that VDD = 3V and Vo is large enough that M2 operates in the saturation regime. VDD Vo lo REF W1 L₁ M1 M2 W₂ L2 b. Find the relationship between Io and IREF in terms of the MOSFET parameters. a. In what mode does M1 operate and why? C. Find VGS if IREF= 20mA, W₁= 15µm, and L₁ = 1µm. d. Find Io under the conditions in part (c) if W₂= 20µm and L2 = 1µm. e. What is the minimum value for Vo to ensure M2 is in saturation under the conditions of part (d)?

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3. Consider the circuit shown below. Assume that both of the transistors are matched, meaning: 1)
Kn' is the same for both devices M1 and M2, and is equal to 1.5mA/V2; 2) Vr = 0.5V for both M1
and M2. Recall that K= K₁' (W/L), where W is the width and L is the length of the MOSFET.
Further assume that VDD = 3V and Vo is large enough that M2 operates in the saturation regime.
VDD
Vo
lo
REF
W1
L₁
M1
M2
W₂
L2
b. Find the relationship between Io and IREF in terms of the MOSFET parameters.
a.
In what mode does M1 operate and why?
C.
Find VGS if IREF= 20mA, W₁= 15µm, and L₁ = 1µm.
d. Find Io under the conditions in part (c) if W₂= 20µm and L2 = 1µm.
e.
What is the minimum value for Vo to ensure M2 is in saturation under the conditions of part
(d)?
Transcribed Image Text:T 3. Consider the circuit shown below. Assume that both of the transistors are matched, meaning: 1) Kn' is the same for both devices M1 and M2, and is equal to 1.5mA/V2; 2) Vr = 0.5V for both M1 and M2. Recall that K= K₁' (W/L), where W is the width and L is the length of the MOSFET. Further assume that VDD = 3V and Vo is large enough that M2 operates in the saturation regime. VDD Vo lo REF W1 L₁ M1 M2 W₂ L2 b. Find the relationship between Io and IREF in terms of the MOSFET parameters. a. In what mode does M1 operate and why? C. Find VGS if IREF= 20mA, W₁= 15µm, and L₁ = 1µm. d. Find Io under the conditions in part (c) if W₂= 20µm and L2 = 1µm. e. What is the minimum value for Vo to ensure M2 is in saturation under the conditions of part (d)?
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