Incremental Power Sharing

Consider the AC circuit shown below, with two voltage sources and a load resistor. Let P A P_A be the active power flowing out of the terminals of source A (shown in green), and let P B P_B be the active power flowing out of the terminals of source B (shown in red).

Determine the following quantity:

d P A / d R d P B / d R = ? \large{\frac{d P_A / dR}{d P_B / dR} = ?}


The answer is 2.0.

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