Using the multimeter measure and record the actual

Question

Equivalency of Node Voltage and Mesh Current Methods

Introduction:

During this experiment, you will verify that the two generalized techniques covered in class for solving linear circuits are equivalent. The Node Voltage Method uses KCL to produce equations for each circuit node with an unknown voltage, and the Mesh Current Method uses KVL to produce equations for each circuit mesh.

Pre-lab Assignment: Theoretical Calculations:

(Do not simplify or change the configuration of the circuit)

1. Use the Node Voltage Method on the circuit in Figure 1 find the voltage V_X.

2. Use the Mesh Current Method on the circuit in Figure 1 to find the voltage V_X. (Hint: Both methods should produce two equations in two unknowns.)

3. Verify that you get the same result from both methods (ignoring any rounding errors). Include all of your hand calculations that you performed for both methods.

Lab Experiment:

1. Using the multimeter, measure and record the actual resistance values of the resistors.

2. Set the DC power supply to provide 15V (verify with your multimeter), and build the circuit in Figure 1 on your breadboard.

3. Use the multimeter to measure the voltage V_X on your physical circuit. Recalculate V_X using both methods and your actual measured resistance values. Compare your measured and calculated values for V_X.

4. Include all actual measured values and calculations in your lab report, and compare theoretical and actual results.

Signoff: Measure correct value of V_X on your physical circuit.