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electrical and electronic eng lab 1 exp no 07 super position theorem
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To verify experimentally the superposition theorem which is an analytical technique of determining currents in a circuit with more than one emf source. THEORY: In a linear circuit, the total voltage or current in any part can be found by adding the effects of each independent source acting alone. While doing this turn off voltage sources by replacing them with a wire. Turn off current sources by removing them (open circuit). Keep dependent sources on. This method is called superposition. APPARATUS: Three Resistance Multimeter as Voltmeter Ammeter Two DC power supplies Bread Board Wires Circuit Diagram: Fig:1 Circuit diagram for verification of Superposition Principle PROCEDURE: Keep both sources active. Connect E1 to R1 and E2 to R2 in position 1. Apply 5 volts from E1 and 10 volts from E2. Measure the total current I in the branch with R3 and record it in the table. Now, turn off E2, keep E1 active, connect R2 to Position 2, and measure the current I' in R3. Then, turn off E1, keep E2 active, connect R1 to Position 2, and measure the current I'' in R3. Check if I = I' + I''. If true, this confirms the superposition theorem for this circuit. Change the values of E1 and E2, and repeat the previous steps for more readings.
Discussion: The experiment demonstrates that the total current (I) through a resistor (R3) when both sources are active is equal to the sum of the individual currents (I' and I'') produced by each source acting alone, with the other source deactivated. That is, I = I' + I'' This confirms that the superposition principle holds true for this linear circuit. The current in any branch of a linear circuit is the algebraic sum of the currents produced by each independent source acting separately.
