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## Homework Statement

The series combination of a 1 kΩ resistor and a 2 H inductor must not dissipate more than 250 mW of power at any instant. Assuming a sinusoidal current with ω=500 rad/s, what is the largest rms current that can be tolerated?

## Homework Equations

Uploaded

## The Attempt at a Solution

Uploaded. I am confused about finding the current? I am not sure what to do from where I am do I multiply my current value I found by V again and set it equal to .250 W and solve for v then plug back in and solve for I. Which I can the plug into the equation for Ieff.