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Home / Technical Articles / 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.

Superposition Theorem Used To Solve The Simple Network
Superposition Theorem Used To Solve The Simple Network (Figure 1)

Solution //

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

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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Edvard Csanyi

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 facilities. Professional in AutoCAD programming.

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