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):

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

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

Applying the current divider rule,

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

Reference // Network theorems (Download)