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Circuit Diagram: Fig. 1 Fig. 2 Fig. 3 Tabulation: V1 V2 I1 I2 I THEORITICAL PRACTICAL

4 Superposition Reciprocity Theorem

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Page 1: 4 Superposition Reciprocity Theorem

Circuit Diagram:

Fig. 1 Fig. 2 Fig. 3

Tabulation:

V1

V2

I1

I2

I

THEORITICAL

PRACTICAL

Page 2: 4 Superposition Reciprocity Theorem

SUPERPOSITION THEOREM & RECIPROCITY THEOREM Exp. No. 1

Date:

Aim: To verify the Superposition theorem and Reciprocity theorem.

Apparatus:

S. No. Apparatus Range Type Quantity

1 Circuit board - - 1

2 RPS (0-30v) digital 1

3 Ammeter (0-200mA) MC 1

4 DRB - - 1

SUPERPOSITION THEOREM:

Statement: Superposition theorem states that "In any linear bilateral network containing two

or more sources, the response in any element is equal to the algebraic sum of the responses

caused by individual sources acting alone, while the other sources are non-operative i.e., while

considering the effect of individual sources, other ideal voltage sources and ideal current

sources in the network are replaced by short circuit and open circuit across their terminals”.

Procedure:

1. Make the connections as shown in fig.1 and measure the current 'I'.

2. Short circuit E2 (assuming the internal resistance of E2 source to be zero) as shown in

fig.2 and note down the current I1 when only E1 is acting.

3. Short circuit E1 (assuming the internal resistance of E1 source to be zero) as shown in

fig. 3 and note down the current I2 when only E2 is acting.

4. By superposition theorem I = I1+I2.

Page 3: 4 Superposition Reciprocity Theorem

Circuit Diagram:

Page 4: 4 Superposition Reciprocity Theorem

RECIPROCITY THEOREM

Statement: Reciprocity theorem states that “In any linear, bilateral, single source network the ratio of excitation to response is constant even when their positions are

interchanged”.

Apparatus:

S. No. Apparatus Range Type Quantity

1 Circuit board - - 1

2 RPS (0-30v) digital 1

3 Ammeter (0-200mA)

Procedure:

1. Connect the circuit as shown in fig. 1.

2. Measure the current 'I’ in the branch CD.

3. Interchange voltage source and response as shown in fig.2 and note down the

current in the branch AB.

4. Observe that the current is same in both the branches AB in Fig. 2 and CD in Fig. 1.

Tabular column:

E1 E2 I1 I2

THEORITICAL

PRACTICAL

Result:

Comments: