## Description

For the following, *V _{CC}* = 5V,

*V*= 1V

_{S}*, R*= 1k,

_{S}*I*= 100µA

_{bias}*, R*= 10k,

_{C}*C*= 10pF, = 100,

_{L}*V*= 100V,

_{A}*V*= 25mV, and

_{T}*I*= 10

_{S}^{-16}A.

- Calculate the input impedance of the amplifier,
*Z*._{in}*Note: This does not include**R*_{S}. - Find an expression for the transfer function,
*V*/_{out}*V*. Be sure to account for attenuation due to_{S}*Z*._{in} - Calculate the DC gain and transit frequency
*f*._{T}

# Problem 2: Opamp nonidealities

Assume the opamp has infinite gain and bandwidth. *V _{OS}* = 1mV, and

*I*= −1nA.

_{B }*R*= 10

_{f}*R*.

_{i}- Determine an expression for the output offset voltage, including the contributions from both
*V*and_{OS}*I*._{B} - Assuming
*R*= 0, calculate values for_{S}*R*and_{i}*R*that result in zero output offset._{f} - Assuming
*R*= 1k and_{S}*V*= 0, calculate values for_{OS}*R*and_{i}*R*that result in zero output offset._{f}

** **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 (*R _{in}* and

*R*) for the opamp. Let

_{o}*R*= 10

_{f}*R*.

_{in}- Determine the DC gain and the 3dB frequency of the closed loop transfer function

(*V**out*/*V**in*).

- 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.
- 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.
- 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%.