Magnetic Field Mathematical Formula

Magnetic field due to a current element.

Magnetic field mathematical formula.

The effects of magnetic fields are commonly seen in permanent magnets which pull on magnetic materials such as iron and. The magnitude of the magnetic field depends on the amount of current and the distance from the charge carrying wire. The equation for the magnetic field strength magnitude produced by a long straight current carrying wire is. Browse more topics under moving charges and magnetism.

A magnetic field is a vector field that describes the magnetic influence on moving electric charges electric currents and magnetized materials. What is the magnitude and direction of the magnetic force acting. Besides the direction of magnetic field lines in the direction of your curled fingers. The magnetic field formula contains the constant mu 0.

Where b is the magnetic field strength the magnetic flux density per unit area in teslas t a is the area of the surface and θ is the angle between the normal to the surface area i e the line perpendicular to the surface and b the magnetic field the equation basically says that a stronger magnetic field and a bigger area lead to more flux along with a field aligned with the. Magnetic force formula charge velocity questions. These concepts can be quickly translated to their mathematical form. For example the number of field lines through a given surface is the surface integral of the magnetic field.

And the magnitude of filed depends on the amount of current and the distance from the charge carrying wire. 1 a beam of protons each with charge is moving at through a uniform magnetic field with magnitude 0 60t. The unit of magnetic field is the tesla t. The direction of the magnetic field lines is the direction of your curled fingers.

This effect was first demonstrated by prof h c oersted in the year 1820. This is called the permeability of free space and has a value. The direction of motion of the protons is to the right of the page screen and the magnetic field direction is downward right at an angle of from the proton direction. Lorentz force on a charged particle of charge q in motion velocity v used as the definition of the e field and b field.

Get the huge list of physics formulas here. Furthermore it is a vector quantity and its si unit is tesla t or wbm 2. Here subscripts e and m are used to differ between electric and magnetic charges. A charge that is moving in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

Magnetic effect of electric field is the property where an electric field is produced around a current carrying conductor.