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Superposition Theorem Used To Solve The Simple Network

Superposition Theorem Example //

Using Superposition theorem, find the current through the 2Ω resistor of the network of Figure 1 above. The presence of three sources will result in three different networks to be analyzed.


Solution //

Considering the effect of the 12-V source (Fig. 2):

Superposition Theorem Used To Solve The Simple Network
Superposition Theorem Used To Solve The Simple Network (Figure 1)
The effect of E1 on the current I
Figure 2 – The effect of E1 on the current I

Considering the effect of the 12-V source


Considering the effect of the 6V source (Fig. 3):

The effect of E2 on the current I1
Figure 3 – The effect of E2 on the current I1

Considering the effect of the 6-V source

Considering the effect of the 3A source (Fig. 4):

The effect of I on the current I1
Figure 4 – The effect of I on the current I1

Applying the current divider rule,

Applying the current divider rule


The total current through the 2Ω resistor appears in Fig. 5, and

The total current through the 2- resistor appears in Fig. 5


The resultant current I1
Figure 5 – The resultant current I1

So the current through the 2Ω resistor is 1A.

Reference // Network theorems (Download)

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About Author //

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Edvard Csanyi

Edvard - Electrical engineer, programmer and founder of EEP. Highly specialized for design of LV/MV switchgears and LV high power busbar trunking (<6300A) in power substations, commercial buildings and industry fascilities. Professional in AutoCAD programming. Present on

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