Register to reply

Energy stored in a toroid

by Reshma
Tags: energy, stored, toroid
Share this thread:
Reshma
#1
Mar3-06, 01:23 AM
P: 777
Calculate the energy stored in a toroidal coil.

The magnetic field in a toroid is give by: [itex]B = \frac{\mu_0 n I}{2\pi r}[/itex]

Energy stored is given by:
[tex]W = {1\over 2\mu_0}\int B^2 d\tau[/tex]

[tex]W = {1\over 2\mu_0} \frac{\mu_0^2 n^2 I^2}{4\pi^2}\int {1\over r^2}d\tau[/tex]

How do I determine the volume element for a toroid?
Phys.Org News Partner Science news on Phys.org
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space
Meir Achuz
#2
Mar3-06, 08:21 AM
Sci Advisor
HW Helper
PF Gold
P: 1,991
The toroid can usually be approximated by a solenoid of length 2\pi R,
with r constant inside the toroid. Then V=(2\pi L)*(\pi a^2), with B constant.


Register to reply

Related Discussions
Stored energy in a spring Classical Physics 6
Capacitance and energy stored Introductory Physics Homework 3
Energy stored in a spring Introductory Physics Homework 11
Energy stored in a field Classical Physics 16