Lab 3 Superposition

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University of Cincinnati, Main Campus *

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2051C

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Electrical Engineering

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Apr 3, 2024

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pdf

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EECE2051C Network Analysis Laboratory #3: Linearity and Superposition Objectives 1. Apply the principles of Superposition to a circuit with multiple voltage sources to determine the voltage level on a specific element. 2. Determine the impact on the voltage of a specific element as a result of increasing or decreasing the voltage of a source by applying Linearity. Pre-Laboratory: to be completed before coming to the laboratory 1. Consider the circuit shown in Figure 1. Apply the principle of superposition to determine the voltage and current on the 560 Ω resistor (R2) due to each source and the sources in combination, then record your results in Table 2 in the Calculated row on the next page. Figure 1 Calculations: 2. Simulate the circuit with MultiSim. Use MultiSim DMMs to measure the voltage and current on the 560 Ω resistor. Print a screenshot showing these values on the DMMs with only the 5V source, only the 3.5V source, and with both sources (note: you can set the voltage to 0V to turn off a source instead of deleting it from the circuit). Attach your screenshots to this laboratory sheet when you hand it in and record the values in Table 2 in the Simulated row on the next page.

Laboratory Exercise: to be completed in the laboratory 1. Measure your three resistors R 1 , R 2 , and R 3 , and the two voltage source voltages, and enter the measured values into Table 1 below. R 1 R 2 R 3 5V Source 3.5V Source Resistance Table 1: Measured Resistance/Voltage Values 2. Build the circuit in Figure 1, using the dual power supply to supply the two voltages. Make sure the power supply is set to independent mode so that each output operates independently of the other. 3. Measure the voltage and current on the resistor R 2 (560 Ω ) based first on just the 5V and 3.5V sources individually and independently, then with both sources active. Note that to turn off the voltage source, you will need to disconnect the voltage source you are turning off from the circuit and replace it with a short circuit. Voltage on R 2 Current through R 2 5V Source 3.5V Source Combined 5V Source 3.5V Source Combined Calculated Simulated Measured Table 2: Superposition Results 4. Based on your calculated, simulated, and measured voltages and currents above and your knowledge of the Linearity Principle, predict the voltage and current on resistor R 2 if the 5V source is decreased to 3.5V and work together with the other 3.5V source. Record your values in Table 3 in the Predicted row and include any calculations below. 5. Replace the 5V source by the 3.5V source and measure the voltage and current on resistor R2 due to both 3.5V sources. Record your values in Table 3 in the Measured row. Voltage on R 2 Current through R 2 Predicted Measured Table 3: Linearity Results Questions: 1. How well did your Predicted/Calculated values compare to your measured values? What are possible causes for any noticeable differences? 2. Based on your measured values, do the principles of Linearity and Superposition work on real-life circuits?

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