

Exam 1  Operational Amplifiers
This exam is a take home test. All work must be shown; equations, calculations, and any resources utilized must
be sited. Students are expected to work independently without outside help. The exam will cover op amp circuits,
ideal and non ideal configurations, operational amplifier input vs. output voltage relationships, characteristics
and configurations, transfer functions, sdomain and standard forms, input and output impedance, summing amplifiers,
circuit analysis fundamentals, and mathematical derivations and equations as a function of the circuit
analysis performed.
1) Given the following operational amplifier circuit in Figure 1, compute the following:
a) Find the output voltage vs. the input voltage relationship (Vo / Vin) assuming the amplifier is a nonideal opamp?
b) Simplify the Vo / Vin relationship to an ideal opamp case? Hint; what parameter differs from an ideal to nonideal case?
2) For the amplifier circuit in Figure 2, assume an ideal opamp and find the following:
a) Determine the Vo / Vin relationship for this circuit?
b) From your solution of the Vo / Vin relationship, put the resultant in the sdomain standard form.
3) Given the following circuit configuration of an operational amplifier with an input impedance equal
to infinity (Zin = ∞), calculate the output impedance (Zout = ?).
4) Using the circuit in Figure 4 below, implement the following equation and calculate the unknown variables and K = ?
Solutions: Provided in the Exam Notes Calculations Section below.
Engineering key words: OpAmp, 741 operational amplifier, S Domain, transfer function, unknown resistance,
input impedance, output impedance, nonideal analysis, circuit relationship, examination, test, study guide,
computation, derivation, mathematical representation, resistor, capacitor, inductor, input voltage, output
voltage, infinite.
