Inductors in AC Circuits Video Lessons

Video Thumbnail

Concept

Problem: A 0.160 H inductor is connected in series with a 85.0 Ω resistor and ac source. The voltage across the inductor isvL = -(11.0V)sin[473 rad/s)t].Part A. Derive an expression for the voltage vR across the resistorExpress your answer in terms of variables L, R, VL (amplitude of the voltage across the inductor), ω, and t.Part B. What is vR at 2.04 ms?Express your answer with the appropriate units

FREE Expert Solution

Inductive reactance is expressed as:

XL=ωL

Current passing through the resistor is:

i=VXL

But from the boxed equation, XL = ωL

Therefore,

i=VωL

95% (424 ratings)
View Complete Written Solution
Problem Details

A 0.160 H inductor is connected in series with a 85.0 Ω resistor and ac source. The voltage across the inductor is

vL = -(11.0V)sin[473 rad/s)t].

Part A. Derive an expression for the voltage vR across the resistor
Express your answer in terms of variables L, R, VL (amplitude of the voltage across the inductor), ω, and t.

Part B. What is vR at 2.04 ms?
Express your answer with the appropriate units

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Inductors in AC Circuits concept. You can view video lessons to learn Inductors in AC Circuits. Or if you need more Inductors in AC Circuits practice, you can also practice Inductors in AC Circuits practice problems.