ENGR 2255 - Lab #5

Title: 

• Linear Electric Circuits

Objectives: 

• Gain experience with linearity and superposition

Preparation: 

1. Determine the proportionality constant K that relates Vo to Vi: Vo = K Vi in the circuit above.
2. Determine the proportionality constant K that relates Io to Vi: Io = K Vi in the circuit above.
3. Determine the proportionality constants K₁ and K₂ that relate Vo to V1 and V2: Vo = K₁ V1 + K₂ V2 for the circuit below.

Equipment and Parts: 

• Power Supply
• Digital Multimeter(s)
• Resistors:  2 kΩ (4), 3 kΩ (2), & 12 kΩ

Procedure: 

1. Create the top circuit from the preparation on a proto board.  Record actual values.
2. Measure Vo and Io for Vi = 3V, 6V, 9V, & 12V.
3. Calculate the proportionality constant that relates Vo to Vi for each set of values and determine the average.
4. Calculate the proportionality constant that relates Io to Vi for each set of values and determine the average.
5. Create the bottom circuit from the preparation on a proto board.  Record actual values.
6. Measure Vo for V1 = 9V and V2 = 12 V.
7. Measure Vo for V1 = 9V and replace V2 with a short circuit. Measure Vo for V2 = 12V and replace V1 with a short circuit. Add the two measured values for Vo together. Compare the result with the value measure in the previous step.

Conclusions: 

1. Compare the predicted values from the preparation with the measured values from the procedure. Indicate how closely the measurements matched the predictions.
2. Discuss how well linearity and superposition held.
3. Discuss how well the objective was met.