課程名稱︰ 數位電子學 課程性質︰ 大二系必修 課程教師︰ 呂良鴻 開課學院： 電資學院 開課系所︰ 資工系 考試日期（年月日）︰ 96/4/17 考試時限（分鐘）： 150 是否需發放獎勵金： 是 （如未明確表示，則不予發放） 試題 : 1. Derive and answer the following questions. (a) For the circuit in Fig. 1(a), find the parameters(R_n, R_o, and A_v0) as the voltage amplifier model.(10%) (b) If two of such amplifier are cascaded(connected in series) as shown in Fig. 1(b), find the voltage gain v_o/v_s.(10%) input R R R output ⊕──┬─^^^^─┐+ ┌─^^^^─┬─^^^^──⊕ < < ╭┴╮ < R < R < v_1 │┼│Kv_1 < R < < │─│ < │ │- ╰┬╯ │ │ │ │ │ ≡ ≡ ≡ ≡ Fig. 1(a) R_S │＼ │＼ ┌──^^^^─┤ ﹥─┤ ﹥──┬──⊕ v_o ╭┴╮ │／ │／ < v_s│┼│ amp. amp. < R_L │─│ < ╰┬╯ │ │ │ ≡ Fig. 1(b) ≡ 2. Assuming μ_n = 1200cm^2/V and μ_p = 500cm^2/V, find the end-to-end resistance of a connecting bar 10μm long, 3μm wide and 1μm thick. (n_i = 1.5*10^10/cm^3) (a) Intrinsic silcon (5%) (b) n-doped Si with N_D = 10^16/cm^3 (5%) (c) n-doped Si with N_D = 10^18/cm^3 (5%) (d) p-doped Si with N_A = 10^18/cm^3 (5%) 3. For a n-channel MOSFET, the parameters are given as: μ_nC_ox = 200μA/V^2, V_t0 = 1V, 2φ_F = 0.7V, γ = 0.4V^1/2, λ = 0.025V^-1, W = 10μm, L = 1μm (a) Find the dc current I_D if the MOSFET is biased at V_G = 5V, V_D = V_S = V_B = 2V. What is the channel resistance r_DS? (5%) (b) For the condition in (a), what is the required gate voltage to reduce the r_DS by 50%? (5%) (c) For V_G = 5V, V_D = 4V and V_S = V_B = 2V, find the dc current I_D. (5%) (d) For V_G = 5V, V_D = 4V, V_S = 2V and V_B = 0V, find the dc current I_D. (5%) 4. Plot the transfer characteristics using constant voltage drop model for the diodes. (Forward voltage = 0.7V) (a) The circuit on Fig. 4(a) (5%) (b) The circuit on Fig. 4(b) (5%) (c) The circuit on Fig. 4(c) (5%) (d) The circuit on Fig. 4(d) (5%) (break-down voltage are V_Z1 and V_Z2) R R R ○─^^^^┬─○ ○─^^^^┬───┬─○ ○─^^^^┬─○ + ╴ + + │ D1 ╴ + + │ + v_l △ v_o v_l ▽ △ v_o ▽ - │ - - ￣ D2 │ - v_l ￣ v_o ○───┴─○ ○───┴───┴─○ │ (a) (b) ┴ 5V – R - │ - ○─^^^^┬─○ ○───┴─○ + │ + (c) Z1 ▽ ┌─┘ v_l │ v_o (d) Fig.4 ┌─┘ Z2 △ - │ - ○───┴─○ 5. All the diodes have n = 1, and can ba treated as the constant voltage model for dc analysis. For v_s = 0.01sin(100t) V, find the overall voltage v_o (dc and ac) in Fig. 5. (a) V_BB = 2V (10%) (b) V_BB = 0V (10%) 5V ┬ < < 5kΩ < │ Fig. 5 ├───⊕ v_o │ ▽ D2 D1 ￣ ┌─|>├─┤ │ │ ╭┴╮ ▽ D3 v_s│┼│ ￣ │─│ │ ╰┬╯ < ┴ < 5kΩ V_BB – < │ │ ≡ ┴ -5V --

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