Currents and their Magnetic Fields

Ampère's law, \(\nabla\times\mathbf{B}\left(\mathbf{r}\right)=\mu_{0}\mathbf{j}\left(\mathbf{r}\right)\) relates the magnetic induction \(\mathbf{B}\left(\mathbf{r}\right)\) to the current distribution \(\mathbf{j}\left(\mathbf{r}\right)\). In this section we will learn the basic techniques to calculate the magnetic induction for a given current distribution. We will use integral methods like the law of Biot-Savart or differential methods for certain symmetries to solve Ampère's law directly. If you have some nice problems that would fit here or you found some errors, please do not hesitate to contact us!

The Magnetic Field of an Infinite Wire

the magnetic field of an infinite wire.One of the basic problems of magnetostatics is the infinite wire. Using the several symmetries of the current distribution we will be able to not only find the magnetic field - we will also verify the "right-hand rule".

Read more ...

Spin is not a Classical Rotation

An electron rotates and creates a magnetic field.In an attempt to explain the electron spin in a classical model, one can assume that it is just a rotating charged particle causing a magnetic moment. However, such an approach results in contradictions which renders a classical explanation of the intrinsic magnetic moment of an electron obsolete.

Read more ...

A Cylinder Shell Current and its Magnetic Field

A rotating current distribution infinitely extended in z directionAmpère's law is hard to solve in general. What if certain symmetries of a current distribution are present? We may find much simpler differential equations which might be integrated directly. Find out what to do in rotational and translational symmetry!

Read more ...

Submit to FacebookSubmit to Google PlusSubmit to Twitter