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Verification of Substitution Theorem
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## Theory :

Let us consider a simple network (Fig.1) where the branch equivalence of the load resistance is $R_L$.

Fig. 1. A simple dc circuit to explain substitution theorem.

Obviously,

$I=\frac{24}{3+5}=3A$

Fig. 2. Equivalent of branch x-y of Fig. 1.

Figure 2 represents the branch equivalents of the x-y branch $(R_L)$ where it may be noted that in all the cases of Fig. 2 , the terminal voltages and through currents are identical and equal to that of the branch x-y $(R_L)$.

It may also be observed that a known potential difference and current in a branch can be replaced by an ideal voltage and current source respectively.

Limitation: This theorem can not be used to solve network containing two or more sources that are not in series or in parallel.

Cite this Simulator:

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