- #1
Reshma
- 749
- 6
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?
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?