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in Physics by (63.5k points)

Find the currents in all the resistors by Superposition theorem in the circuit shown in Fig. Calculate the power consumed.

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 According to Superposition theorem, one source should be retained at a time, deactivating remaining sources. Contributions due to individual sources are finally algebraically added to get the answers required. Fig.  shows only one source retained and the resultant currents in all branches/elements. In Fig., other source is shown to be in action, with concerned currents in all the elements marked.

To get the total current in any element, two component-currents in Fig.  and Fig. for the element are to be algebraically added. The total currents are marked on Fig.. 

Power loss calculations. (i) from power consumed by resistors : 

Power = (0.71472 × 4) + (3.5722 × 2)+(2.8752 × 8) = 92.86 watts 

(ii) From Source-power. 

Power = 10 × 3.572 + 20 × 2.857 = 92.86 watts

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