AC Circuit

Impedence

  • Resistor: $R$
  • Capacitor: $\frac{1}{i \omega C}$

Then, the total $Z = $

Total Current

$$ \large I = \frac{V}{Z} $$

Output Voltage

$$ \large V_{\text{rms}} = I_{\text{rms}} Z $$

Power Dissipated

$$ \large \begin{split} P & = V_{\text{rms}} \ I_{\text{rms}} \cos \phi \\ & = I^2_{\text{rms}} Z \cos \phi \\ & = I^2_{\text{rms}} R \end{split}$$
  • GRE Physics GR0877 Problem 070
  • GRE Physics GR1777 Problem 040

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