所屬科目：【阿摩】未分類題庫
1. (10%) Derive the current \( I_{1} \) for the circuit in Fig. 1?
2. (10%) Derive the voltage \( V_{2} \) for the circuit in Fig. 2?
3. (10%) The feedback system in Fig. 3 has an open-loop amplifier \( A{2}(s) = A{0} / (1 + (s / \omega{0})) \), where \( s = j\omega \) and \( \omega \) is the frequency, \( A{0} \) and \( \omega{0} \) are the dc gain and pole frequency of the open-loop amplifier \( A{1} \), respectively. Derive the close-loop transfer function of \( Y(s) / X(s) \)?
4. (10%) Derive the transfer function \( V{\mathrm{out}} / V{\mathrm{in}} \) for the circuit in Fig. 4 with \( A_0 = \infty \).
5. (10%) Draw \( V{\text{out}} \) versus \( V{\text{in}} \) transfer curve for the circuit in Fig. 5, assuming \( D1 \) is an ideal diode with \( V{\text{ON}} = 0V \)?
6. (10%) Considering the channel length modulation, draw the low-frequency small-signal model and derive the low-frequency gain of the circuit in Fig. 6?
7. (10%) For the circuit in Fig. 7, \( V{\text{in}} \) and \( V{\text{out}} \) are input and output voltages, respectively, \( V{\text{b1}} \) is a dc bias voltage. (a) Is \( M1 \) a current course, common-source, common-drain, or common-gate amplifier? (b) Is \( M_2 \) a current source, common-source, common-drain, or common-gate amplifier? (You must explain.)
8. (10%) Determine the change of \( V{\text{out}} \) in Fig. 8 if the input is changed by \( \Delta V{\text{in}} \)?
9. (10%) Explain the operational principle of an n-channel MOSFET from the effect that is induced by electrical field. (a) How does \( V{GS} \) control \( I{DS} \)? (b) How does \( V{DS} \) control \( I{DS} \)?
10. (10%) (a) For an npn bipolar transistor, which terminal (emitter, base or collector) requires a high doping concentration, explain why? (b) Should the base-collector junction \( V_{BC} \) be forward biased or reverse biased, explain why?
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