contestada

Use Eq. cosϕ=R/Z to show that the average power delivered by the source in an L−R−C series circuit is given by Pav = I^2rmsR .

Respuesta :

Answer:

Explanation:

In a L C R circuit, the average power is given by

[tex]P_{av}=V_{rms}I_{rms}Cos\phi[/tex]

As given in the question

CosФ = R / Z

And we know that

[tex]V_{rms}=I_{rms}\times Z[/tex]

So

[tex]P_{av}=I_{rms}\times Z\times I_{rms}\times \frac{R}{Z}[/tex]

[tex]P_{av}=I_{rms}^{2}\times R[/tex]

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