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Laboratory #4

Superposition Theorem

Table 1: Simulation results for voltage and current with both sources

R1

R2

R3

R4

R5

Voltage

15.86V

7.137V

-2.451V

9.588V

-3.412V

Current

15.58mA

20.39mA

-9.811mA

3.835mA

-13.65mA

I1 right; I2 down; I3 left; I4 down; I5 left. -0.318; 26.662; 26.975

Table 2: Simulation results for voltage and current with Vs2 source only

R1

R2

R3

R4

R5

Voltage

-4.405V

4.405V

-3.882V

8.287V

-4.713V

Current

-2.938mA

12.59mA

-15.53mA

3.316mA

-18.84mA

I1 left; I2 down; I3 left; I4 down; I5 left.

Table 3: Simulation results for voltage and current with Vs1 source only

R1

R2

R3

R4

R5

Voltage

20.21V

2.732V

1.431V

1.301V

1.301V

Current

13.51mA

7.797mA

5.718mA

0.519mA

5.198mA

I1 right; I2 down; I3 right; I4 down; I5 right.;11.34

Questions:

  1. Check for superposition principle. Enter your observations here.

In order to check superposition principle I took voltage and current measurements of R1 and R5. The sum of VR1 from table 2(-0.318V) and table 3(26.975V) resulted in 26.662V from table 1. The sum of IR1 from table 2(-21.402mA) and table 3(32.724mA) resulted in 16.344mA from table 1. It was the same for measurements of R5:

-4.713V (table 2) + 1.301V (table 3) = -3.412V (table 1)

-18.84mA (table 2) + 5.198mA (table 3) = -13.65mA (table 1)

  1. Superposition theorem applies for only certain types of circuit. State what is the type?

It is a circuit without dependent parts.

3) Superposition applies to only some variables or quantities like current and voltage. It does not apply to, for example, power. State why not.

It doesn't work because power goes as the square of voltage or current, and the sum of the squares is not equal to the square of the sums.

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