Superposition Theorem:
According to the superposition theorem, “In any linear, active, bilateral network consisting of a number of energy sources, resistance, etc, the effect produced in any element when all sources acts at a time is equal to the sum of the effect produced in the same element when the sources are considered individually”.
The superposition theorem is applicable to a linear network to determine voltage and current response
So, impedance can be computed very easily.
\(P = \frac{{{V^2}}}{R}\;or\;{I^2}R\)
And hence actual power through the resistor is NOT EQUAL to the sum of power dissipated through the resistor when each source acts individually.
Additional Information
Limitations of SPT:
Application of SPT:
Superposition Theorem is applied to determine the current in one particular branch of a network containing several voltage-source and/or current-source.