9.4 Ohm's Law

The voltage supplied to your house varies as $V \left(t\right) = V_{\text{max}} \text{sin} \left(2 \pi f t\right)$. If a resistor is connected across this voltage, will Ohm’s law $V = I R$ still be valid?

A resistor rated at $250 \text{k} \Omega$ is connected across two D cell batteries (each 1.50 V) in series, with a total voltage of 3.00 V. The manufacturer advertises that their resistors are within 5% of the rated value. What are the possible minimum current and maximum current through the resistor?