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



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