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Verification of Superposition theorem and Thevenin's theorem

Verification of Superposition theorem and Thevenin's theorem

Verification of Superposition theorem and Thevenin's theorem

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Procedure:i) Thevenin Theorem- Connect the circuit as shown in figure 1 on the breadboard- Measure the voltage across AB (i.e. p.d. across load resistor).- Remove load resistor (for first case it is 4.7KΩ).- Measure the open circuit voltage across AB with the help <strong>of</strong> multimeter ( Placing positiveterminal <strong>of</strong> multimeter at A <strong>and</strong> negative at B)- Measure the Thevenin’s resistance with the help <strong>of</strong> multimeter (with short circuitingvoltage sources <strong>and</strong> open circuiting current sources (if any) (Alternatively you canmeasure the short circuit current through load).- Connect the circuit as shown in figure 2; replacing ETH <strong>and</strong> RTH are open circuit voltage<strong>and</strong> Thevenin resistance respectively, as measured in third step.- Connect the load <strong>and</strong> measure the voltage across load with the help <strong>of</strong> voltmeter.- REPEAT above steps for different load resistor.Circuit Diagram:Figure 1 Figure 2NOTE: You now need only one voltage source, but you will probably need to use acombination <strong>of</strong> resistors in series to obtain Req. Similarly the resistor value may notbe exact as specifiedii) <strong>Superposition</strong> <strong>theorem</strong>- Connect the circuit as shown in figure 1 on the breadboard.- Set the value <strong>of</strong> voltage supply 1 to 0 V <strong>and</strong> supply 2 to 7 V <strong>and</strong> measure the potentialdifference across A <strong>and</strong> B. Also measure the current through load <strong>of</strong> 4.7KΩ.- Set the value <strong>of</strong> voltage supply 2 to 0 V <strong>and</strong> supply 1 to 10 V <strong>and</strong> measure the potentialdifference across A <strong>and</strong> B. Also measure the current through load <strong>of</strong> 4.7KΩ.- Now set the value <strong>of</strong> voltage supply 1 to 7 V <strong>and</strong> supply 2 to 10V <strong>and</strong> measure thepotential difference across A <strong>and</strong> B <strong>and</strong> current through load <strong>of</strong> 4.7KΩ.- REPEAT above steps for different load resistor.


Observations:1. Measurement <strong>and</strong> Calculation <strong>of</strong> Thevenin circuit parametersS.N. V OC R TH V OC (Fromcalculation)R TH (Fromcalculation)12. <strong>Verification</strong> <strong>of</strong> Thevenin’s <strong>theorem</strong>S.N R LOAD V AB from circuit<strong>of</strong> figure 1V AB from Theveninequivalent circuitI L from circuit<strong>of</strong> figure 1I L from Theveninequivalent circuit1 4.7 KΩ2 10 KΩ3 47 KΩ‣ Do these measurements taken from Thevenin equivalent circuit agree with themeasurements from the original circuit?3. <strong>Verification</strong> <strong>of</strong> <strong>Superposition</strong> <strong>theorem</strong>S.NRLOADV 1 =VAB(V Source1 =0V)V 2 =VAB(V Source2 =0V)V AB =V 1 +V 2I 1 when(V Source1 =0V)I 2 when(V Source2 =0V)I=I 1 +I 21 4.7KΩ2 10KΩ3 47KΩ‣ Do these measurements taken from <strong>Superposition</strong> <strong>theorem</strong> <strong>and</strong> thevenin <strong>theorem</strong> agreewith the measurements from the original circuit? Original value is to be tabulated intable 2


Conclusions <strong>and</strong> Inference:………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………Exercises:i) Discuss the relationship <strong>of</strong> terminal voltage with increase in load resistance.ii) Calculate the value <strong>of</strong> thevenin equivalent circuit in paper <strong>and</strong> compare with theexperimental results.iii) Calculate <strong>and</strong> compare the total power supplied by sources in the original circuit<strong>and</strong> thevenin circuit from experimental data.Instructor’s Signature Performance Date Submission Date

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