If the power rating of a certain 14 kΩ resistor is 5.0 W, what is the maximum current it can carry without damage?

The power rating is 5W

And resistance is 14kΩ=14000

Given that,

Power in an electric circuit is

P=i^2*R

Therefore,

5=i^2 * 14000

divide both side by 14000

i^2=5/14000

i^2=0.0003571

Then take square of both side

i=0.019amps

Then the maximum current it can hold without damage is 0.019amps