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Berkeley ELENG 140 - Problem Set 2

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EE 140 ANALOG INTEGRATED CIRCUITS SPRING 2009 PROBLEM SET #2 Issued: Tuesday, Feb.3, 2009 Due: Tuesday, Feb.10, 2009, 6:00 p.m. in the EE 140 homework box in 240 Cory 1. Use inspection analysis to write expressions for the input resistance Ri, output resistance Ro, and gain vo/vS for each of the amplifiers below. The expressions should be in terms of the given elements and parameters of the small-signal equivalent circuits (i.e., gm, rp, rο, β, etc.) for the transistors used. For each circuit, assume that all capacitors shown have infinite values. Fig. PS2.1 2. Calculate numerical values for the input resistance Ri, output resistance Ro, gain vo/vS, and maximum amplitude of the signal source that still provides linear operation, for the circuit in Fig. PS2.1(d) if R1 = 20kΩ, R2 = 62kΩ, RE = 3.9kΩ, Rc = 8.2kΩ, and VCC = 12V. Use β = 75 and an Early voltage VA = 60V. 3. Determine expressions for the small-signal input resistance, output resistance, and gain, for each of the circuits in Razavi, Fig. 3.67, except for (b). Use inspection analysis where possible, but resort to the full small-signal model if you deem it necessary. (d)(a) (b) (c)EE 140 ANALOG INTEGRATED CIRCUITS SPRING 2009 4. For the Darlington emitter follower of Fig. PS2.2. (a) Determine the dc collector currents in Q1 and Q2, and then the small-signal input resistance and voltage gain. Neglect rμ, rb and ro, and assume that VBE(on) = 0.7V, β=200, VT=26mV(300k). Use inspection analysis wherever possible. (b) Determine the -3dB corner frequency (fH) of the gain using open circuit time-constant methods. Assume VBE(on) = 0.7V, β=200, VT=26mV(300k), fT=500MHz at IC=1mA, Cμ=0.4pF, Cje=2pF, CCS=1pF, and neglect rμ, rb and ro. (Note: use the DC operating point found in (a) and assume zero source impedance.) Fig. PS2.2 VCC =10VQ1Q2+_vi5V+_vo1 kΩ50


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Berkeley ELENG 140 - Problem Set 2

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