For a resistor, the phase difference $\phi$ is zero, meaning that the voltage and current are in phase. The instantaneous power in a resistor is given by:
$$P_R(t) = V(t)I(t) = V_m I_m \sin(\omega t) \sin(\omega t) = \frac{1}{2}V_m I_m (1 - \cos(2\omega
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