# 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:

X_C=1/(omegaC)

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.

## Angular Velocity and Frequency

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

ω = 2πf

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

### Online Algebra Solver

This algebra solver can solve a wide range of math problems. (Please be patient while it loads.)

Play a math game.

(Well, not really a math game, but each game was made using math...)

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.