10. Reactance and Angular Velocity - Alternating Currents

by M. Bourne

 

Alternating Currents

An alternating current is created by rotating a coil of wire through a magnetic field. If the angular velocity of the wire is ω, the

capacitive reactance is given by:

math expression

inductive reactance is given by:

XL = ωL

 

Example:

If R = 10 Ω, L = 0.6 H, C = 200 μF and ω = 50 rad/s, find the magnitude of the impedance and the phase difference between the current and the voltage.


Answer


Angular Velocity and Frequency

In this section, recall that angular velocity and frequency are related by the expression:

ω = 2πf



The IntMath Newsletter

Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!

Given name: * required

Family name:

email: * required

See the Interactive Mathematics spam guarantee.

Recommended Math DVDs

get MathTutorDVDs

Easy to understand math lessons on DVD.
Broad range of math topics. Try before you commit.
MathTutorDVD.com

Book mark this page

Add this page to Del.icio.us, Furl, Digg, StumbleUpon, Google, whatever...


Didn't find what you are looking for? Try search:


Need a break? Play a math game. Well, they all involve math... No, really!

dumbolf memoTST bola shadow factory mindfields trick-hoops-challenge crystal clear