Hello everyone,
I want to have a simple example of an inductance calculation.
The magnetic field normal to a filamentary circular current loop is not constant over the circle but if we approximate the value as that for the center, multiply by the area of the circle and divide by the current, we get
L=mu*Pi*radius/2
I checked numerically and it seems that the average magnetic field is in fact about 0.93 of the value at the center of the circle.
However, most books go straight to calculate the inductance using a wire of finite radius and the formula diverge when this radius is zero.
I am wondering how much physical significance have the simple calculation I described above. Any help?
I want to have a simple example of an inductance calculation.
The magnetic field normal to a filamentary circular current loop is not constant over the circle but if we approximate the value as that for the center, multiply by the area of the circle and divide by the current, we get
L=mu*Pi*radius/2
I checked numerically and it seems that the average magnetic field is in fact about 0.93 of the value at the center of the circle.
However, most books go straight to calculate the inductance using a wire of finite radius and the formula diverge when this radius is zero.
I am wondering how much physical significance have the simple calculation I described above. Any help?