
How do you verify the superposition theorem?
Answer
217.8k+ views
Hint:It is crucial to understand what the superposition theorem is before moving on to the issue. A circuit having several voltage and current sources is equal to the sum of simplified circuits employing just one of the sources, according to the superposition theorem.
Complete step by step solution:
Verification of superposition theorem:
The following experiment can be used to practically validate the superposition theorem.
Circuit diagram:

IMAGE: CIRCUIT 1
circuit 2:

circuit 3:

Procedure
1. As seen in the above diagram, connect the circuit.
2. As in circuit 1, set RPS1 and RPS2 to a specific voltage and record the ammeter reading.
3. Set the voltage to the same level by using RPS1 alone to short RPS2, and then record the ammeter reading as in circuit 2.
4. As demonstrated in circuit 3, set the same voltage by shorting RPS1 with RPS2 and recording the ammeter measurement.
5. The superposition theorem must be proven.
Verification
Theoretical values
\[{I_1} = {I_2} + {I_3}\] = 140
Practical values
\[{I_1} = {I_2} + {I_3}\] = 90 mA+ 50 mA = 140 mA
Superposition theorem is therefore practically and theoretically verified.
Note :To apply the superposition theorem to circuit currents and voltages, all of the components must be linear. It should be emphasised that since power is not a linear number, the superposition theorem does not apply to it.
Complete step by step solution:
Verification of superposition theorem:
The following experiment can be used to practically validate the superposition theorem.
Circuit diagram:

IMAGE: CIRCUIT 1
circuit 2:

circuit 3:

Procedure
1. As seen in the above diagram, connect the circuit.
2. As in circuit 1, set RPS1 and RPS2 to a specific voltage and record the ammeter reading.
3. Set the voltage to the same level by using RPS1 alone to short RPS2, and then record the ammeter reading as in circuit 2.
4. As demonstrated in circuit 3, set the same voltage by shorting RPS1 with RPS2 and recording the ammeter measurement.
5. The superposition theorem must be proven.
Verification
Theoretical values
| RPS | Ammeter Reading | ||
| 1 | 2 | ||
| Circuit 1 | 20 V | 10 V | \[{I_1} = 140\] |
| Circuit 2 | 20 V | 0 V | \[{I_2} = 90\] |
| Circuit 3 | 0 V | 10 V | \[{I_3} = 50\] |
\[{I_1} = {I_2} + {I_3}\] = 140
Practical values
| RPS | Ammeter reading | ||
| 1 | 2 | ||
| Circuit 1 | 20 V | 10 V | \[{I_1} = 140\] |
| Circuit 2 | 20 V | 0 V | \[{I_2} = 90\] |
| Circuit 3 | 0 V | 10 V | \[{I_3} = 50\] |
\[{I_1} = {I_2} + {I_3}\] = 90 mA+ 50 mA = 140 mA
Superposition theorem is therefore practically and theoretically verified.
Note :To apply the superposition theorem to circuit currents and voltages, all of the components must be linear. It should be emphasised that since power is not a linear number, the superposition theorem does not apply to it.
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