GITAM, Department of Engineering Physics
A coil of wire used to create a magnetic field is called a solenoid.
Inductance of a Solenoid
The inductance of a coil of wire is given by
Approximate Inductance of a Toroid
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Finding the magnetic field inside a toroid is a good example of the power of Ampere's law. The current enclosed by the dashed line is just the number of loops times the current in each loop. Amperes law then gives the magnetic field at the centerline of the toroid as
The inductance can be calculated in a manner similar to that for any coil of wire. |
The application of Faraday's law to calculate the voltage induced in the toroid is of the form
This can be used with the magnetic field expression above to obtain an expression for the inductance.
