UWEE538 Midterm-Common-emitter amplifier Solved

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For the following, VCC = 5V, VS = 1V, RS = 1k, Ibias = 100µA, RC = 10k, CL = 10pF,  = 100, VA = 100V, VT = 25mV, and IS = 10-16A.

  1. Calculate the input impedance of the amplifier, Zin. Note: This does not include RS.
  2. Find an expression for the transfer function, Vout/VS. Be sure to account for attenuation due to Zin.
  3.  Calculate the DC gain and transit frequency fT.       

Problem 2: Opamp nonidealities

Assume the opamp has infinite gain and bandwidth. VOS = 1mV, and IB  = −1nA. Rf = 10Ri.

  1.  Determine an expression for the output offset voltage, including the contributions from both VOS and IB.
  2.  Assuming RS = 0, calculate values for Ri and Rf that result in zero output offset.
  3.  Assuming RS = 1k and VOS = 0, calculate values for Ri and Rf that result in zero output offset.

 Problem 3. Opamp AC and transient analysis

Figure 3a. Non-inverting amplifier                    Figure 3b. Opamp open-loop frequency response

 Figure 3. Input waveform for c) and d)

Assume ideal input/output resistances (Rin and Ro) for the opamp. Let Rf = 10Rin.

  1.  Determine the DC gain and the 3dB frequency of the closed loop transfer function

(Vout/Vin).

  1.  Provide an expression for the transient response of the amplifier for a voltage step input of 0 to 100mV. Sketch the response and label all relevant times/voltages.
  2.  Assume the amplifier is driven by the input waveform shown in Fig 3c. Determine the minimum period T for which 0.1% settling is achieved during each half-period (integer multiples of T/2). Sketch the output waveform.
  3.  Calculate the total worst-case error in the output voltage (at the end of each halfperiod) if the resistors have a tolerance of 0.1%.

 

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