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ECE3161 Analogue Electronics - MUM S2 2025

ECE3161 Analogue Electronics - MUM S2 2025

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Q10. Find component values to make the transfer function frequency independent

The filter given below has the transfer function $T(s)= v_{out}(s)/v_{in}(s)$ T(s)= v_{out}(s)/v_{in}(s) where s is the Laplace variable. If $C_1 \neq C_2$ C_1 \neq C_2, and $R_1 \neq R_2$ R_1 \neq R_2, given C_1, R_1, find C_2, and R_2, if gain is frequency independent and equal to -G where G is a real positive number.

Circuit

C_2 = GC_1, and R_2 = GR_1

C_2 = C_1/G, and R_2 = R_1/G

C_2 = GC_1, and R_2 = R_1/G

C_2 = C_1/G, and R_2 = GR_1

C_2 = 0.5C_1, and R_2 = GR_1

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Q10. Determine the small signal differential gain

What is the small signal differential gain $v_{od}/v_{id}$ v_{od}/v_{id} for the differential pair below at temperature 300K. Assume both transistor are identical.

15

23

12

9.4

19

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Q9. Determine the resistor value

For the circuit given below, determine the resistor value

R that gives a small signal differential $v_{od}/v_{id}$ v_{od}/v_{id} equal to 50 at temperature 300K. Note that all the PNP transistors are identical and have an Early voltage of 4V. All the NPN transistor are identical and have an Early voltage of 5V.

Hint: when tackling this problem, remember detailed small signal model is needed only for NPN transistors as PNP transistors provides biasing. So, their dynamic resistance based on Early voltage is the only thing matters for calculations.

$R = 1544.76 \Omega$ R = 1544.76 \Omega

$R = 2774.44 \Omega$ R = 2774.44 \Omega

$R = 2299.77 \Omega$ R = 2299.77 \Omega

$R = 3131.53 \Omega$ R = 3131.53 \Omega

$R = 3002.45 \Omega$ R = 3002.45 \Omega

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Q7. Determine the small signal differential gain

For the differential pair below, find the small signal differential gain $v_{od}/v_{id}$ v_{od}/v_{id} at temperature 300K. Assume both transistor are identical and have an early voltage of 5V.

298.45

23.98

123.34

211.34

192.31

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Q8. Determine the minimum supply voltage

A common mode voltage of 1V is applied to the NMOS differential pair below. Assuming both NMOS transistors are identical and their threshold voltage $V_t=0.5\text{V}$ V_t=0.5\text{V}, what is the minimum allowable power supply voltage $V_{DD}$ V_{DD} if both transistors to remain in saturation?

0.5V

4V

1V

2V

1.5V

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Q4. Determine the small signal differential gain

What is the small signal differential gain $v_{od}/v_{id}$ v_{od}/v_{id} for the differential pair below at temperature 300K. Assume both transistor are identical.

23.43

76.15

107.34

34.91

65.22

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Q5. Find the collector voltage

For the differential pair below, both NMOS are identical and both NPN are identical. What is the collector voltage

$V_c = 11.287 \text{V}$ V_c = 11.287 \text{V}

$V_c = 7.324 \text{V}$ V_c = 7.324 \text{V}

$V_c = 13.223 \text{V}$ V_c = 13.223 \text{V}

$V_c = 4.712 \text{V}$ V_c = 4.712 \text{V}

$V_c = 21.756 \text{V}$ V_c = 21.756 \text{V}

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Q6. Find the bias current

What is the bias current

I_E of the differential pair at temperature 300K. Assume both transistor are identical.

$I_E = 0.761 \text{mA}$ I_E = 0.761 \text{mA}

$I_E = 0.445 \text{mA}$ I_E = 0.445 \text{mA}

$I_E = 0.223 \text{mA}$ I_E = 0.223 \text{mA}

$I_E = 0.911 \text{mA}$ I_E = 0.911 \text{mA}

$I_E = 0.828 \text{mA}$ I_E = 0.828 \text{mA}

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Q3. Determine the collector voltage

For the circuit given below, determine the voltage

V_c. Assume all transistors are identical and their $V_{be}=0.7\text{V}$ V_{be}=0.7\text{V}, $\beta = \infty$ \beta = \infty.

$V_c = 2.7 \text{V}$ V_c = 2.7 \text{V}

$V_c = 2.5 \text{V}$ V_c = 2.5 \text{V}

$V_c = 2.2 \text{V}$ V_c = 2.2 \text{V}

$V_c = -2.9 \text{V}$ V_c = -2.9 \text{V}

$V_c = 4.2 \text{V}$ V_c = 4.2 \text{V}

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Q2. Determine the CMMR in dB

A certain differential amplifier has a differential gain

Ad=2000 and common mode gain

Ac=0.2. What is the CMMR in dB?

80 dB

14 dB

40 dB

70 dB

50 dB

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