Sinusoidal sources and complex power

AI Thread Summary
The discussion focuses on the calculation of power in electrical circuits, specifically the use of the complex conjugate of current to compute apparent power. The apparent power is derived from the formula I^2 multiplied by impedance (Z), which can also be expressed as the product of the complex conjugate of current (I*) and voltage (V). The relationship between current, its conjugate, and voltage is clarified, emphasizing that I^2 equals I times its conjugate. The participants confirm the terminology, ensuring clarity in the discussion. Understanding this concept is crucial for accurate power calculations in sinusoidal sources.
d.arbitman
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When calculating power in a given circuit, why is the complex conjugate of the current used to compute power?
 
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darbitman,

When calculating power in a given circuit,

You mean apparent power, don't you?

why is the complex conjugate of the current used to compute power?

Easy, the apparent power is I^2 multiplied by Z, which equals I* times I times Z, which equals I* times V. I* is the conjugate of I, I^2 = I times I*, and I times Z = V .

Ratch
 
Ratch said:
darbitman,



You mean apparent power, don't you?



Easy, the apparent power is I^2 multiplied by Z, which equals I* times I times Z, which equals I* times V. I* is the conjugate of I, I^2 = I times I*, and I times Z = V .

Ratch

I meant apparent power, sorry. And thank you for the explanation.
 
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