Aresistor with resistance r and an inductor with inductance l are connected in series with an ac source that provides a sinusoidal voltage of v of t is equal to v times cosine of begin quantity omega times t end quantity, where v is the maximum voltage, omega is the angular frequency, and t is the time. what happens to the rms current through the resistor as the angular frequency of the ac is increased?

rms current through the resistor increases as the angular frequency of AC is increased.

Explanation:

This is because rms current and rms voltage are directly related with each other.As the angular frequency increases ,root mean square value of voltage increases in an R-L SERIES CIRCUIT,as they both are in direct relation with each other,consequently the current increases.Also because as the frequency increases,the rate of current flowing increases in value as the rate of voltage change across the plate increases.