Lab3_VanTLe

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Richland Community College *

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Electrical Engineering

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Jan 9, 2024

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ENGR 2105-81830 ELECTRICAL CIRCUITS I LABORATORY LAB 3 DC RESISTOR CIRCUIT (SUPERPOSITION THEOREM) VAN THIN LE OCTOBER 10, 2023

Objectives :  To solve a network containing two power sources.  To analyze the effect aiding and bucking currents have on circuits.  To determine voltage drops across resistors and the polarity of the drops. Equipment List: Required equipment and components:  Power supply (20Vdc, 12Vdc), digital multimeter.  Electronic prototyping board.  Resistors, 5%, ¼ Watt: 820 W (1), 1k W (1), 1.5k W (1), 2.2k W (1) (parts kit).  Connecting leads: banana plug, coaxial, and coaxial-to-hook-end.  Calculator, Simulator. Procedures : 1. Schematic/Circuit Diagram: A. Experiment 1 : Measuring the voltage at the point indicated and centering them on the schematic. B. Experiment 2: Solving the circuit using the Superposition.

C. Experiment 3 : Solving the circuit using the Superposition.

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2. Data table A B C B + C V R 1 23.19V 16.73V 6.47V 16.73 + 6.47 = 23.2V V R 2 -3.18V 3.28V -6.47V 3.28 - 6.47 = -3.19V V R 4 8.8V 3.28V 5.52V 3.28 + 5.52 = 8.8V I R 1 8.95mA 6.2mA 2.4mA 6.2 + 2.4 = 8.6mA I R 2 -2.12mA 2.19mA -4.31mA 2.19 - 4.31 = -2.12mA I R 4 10.73mA 4mA 6.73mA 4 + 6.73 = 10.73mA 3. Discussion of Result Following the experiments, it's evident that the combined voltage and current of each resistor within the separate circuits (B and C) consistently equals the voltage and current in the main circuit (A). These findings align perfectly with the principles of the Superposition Theorem used in circuit analysis. It's a practical confirmation of the theorem's validity for analyzing circuits, making complex circuit analysis more manageable by breaking it down into individual source contributions. 4. Direction of currents Where: Direction of currents in circuit B Direction of currents in circuit C Direction of currents in circuit A 5. Use Thevenin Theorem to find I R 2 V1 20V V2 12V

A. Schematic/Circuit Diagram: - Measure the Voltage. - Measure the Voltage. B. Data table

Resistance value Voltage R th = 620Ω V th = 4.51V R 2 = R L = 1.5kΩ V RL = ( R L R L + R th ) V th = ( 1500 1500 + 620 ) 4.51 = 3.19 V I 2 = V 2 R 2 = V RL R L = 3.19 1500 = 2.13 m A C. Discussion of Result After acquiring a Thevenin voltage measurement of 4.51V and a Thevenin resistance of 620 ohms, we computed V RL to be 3.19V and I RL as 2.13mA. Remarkably, this measured value closely corresponds to the value obtained in the earlier experiment. This demonstrates that regardless of the theorem employed, the outcome remains consistent. Conclusions: This lab report has successfully addressed the objectives of the experiment(s) by providing comprehensive data, analyses, and discussions of the results. The findings are in accordance with the theoretical expectations. The DC circuits lab involving the Superposition Theorem has provided valuable insights into the analysis of complex electrical circuits. Through a systematic application of the Superposition Theorem, we have gained a deeper understanding of how to break down intricate circuits into simpler components for analysis. This knowledge has practical applications in engineering and electronics, allowing us to understand and optimize circuit behavior.

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