Skip to main content
Ch 31: Alternating Current

Chapter 31, Problem 31

(a) What is the reactance of a 3.00-H inductor at a frequency of 80.0 Hz?

Verified Solution
Video duration:
1m
This video solution was recommended by our tutors as helpful for the problem above.
344
views
Was this helpful?

Video transcript

Welcome back, everybody. We are making observations about a coil of wire and we are told that it has an induct instead of 120 mil, it hurts. We're also told that it is connected to a power supply with a frequency of 350 hertz. And we are tasked with finding what the inductive reactant is of our long coil of wire. So let's see here. We have that are inductive reactant is equal to our angular frequency times conductance. But this is the same thing as two pi times R frequency times are inducted, which we have all the terms. So let's go ahead and plug them in. This is going to be equal to two pi times 120 mil hurts, but we want this in hurts. So we're gonna multiply this by 10 to the negative three times our frequency of 350 Hertz. When we plug all of this into our calculator, we get a final answer of 263.9 Omega's corresponding to our final answer. Choice of d. Thank you all so much for watching. Hope this video helped. We will see you all in the next one.