## UY1: Resistors, Inductors & Capacitors In A.C. Circuits

Resistor In An A.C. Circuit Consider a resistor with resistance R through which there is a sinusoidal current: $$i = I \cos{\omega t}$$ From Ohm’s Law, $$\begin{aligned} v_{R} &= iR \\ &= \left( IR \right) \cos{\omega t} \\ &= V_{R} \cos{\omega t} \end{aligned}$$ The current $i$ is in phase with the voltage $v_{R}$ The instantaneous power $p$ delivered to a …

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