SUPERPOSITION THEOREM EXPERIMENT 3 SUPERPOSITION THEOREM

Set up the network (circuit) as in Fig. 3.1. No connection No connection No connection Connect to DMM Connect to E1 Connect to E2 R1 R3 R2 Connect to node A Connect to node A Connect GND

Measuring the resistance of a potentiometer Connect to DMM to measure the resistance

Use the DMM to measure the resistance Set potentiometer 1 to 1 kΩ Set potentiometer 2 to 2 kΩ Set potentiometer 3 to 3 kΩ

Apply 5V volts from E1 and 10 V from E2. Set the rheostats R1, R2, R3 at such value so that none of the ammeter readings I1, I2, I3 exceeds the power supplies (E1 and E2 current ratings and the rheostat current) ratings. Measure the current I2 and record it in Table 3.1. Render E2 inactive – SET TO 0 V Measure the current I2’ in the branch R2 and record it in Table 3.1. Render E1 inactive – SET to 0V Measure the current I2’’ in the branch R2 and record it in Table 3.1. Verify if I2 = I2’ + I2’’ which would validate the superposition theorem for this particular circuit. Repeat steps 4 to 10 by changing R1, R2, and R3 and take a few more sets of readings.

Values of resistors (ohms) I2 with both E1 and E2 active (amps) Measure the actual value of each resistor and record in Table 2.1 Values of resistors (ohms) I2 with both E1 and E2 active (amps) I2’ with only E1 active (amps) I2’’ with only E2 active (amps) R1 R2 R3 1 k  2 k  3 k 2.273 mA 1.364 mA 0.909 mA  1 k 2 k  3.636 mA 2.727 mA 3 k 1 k  0.4545 mA 1.818 mA