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Ampere’s Law: An equation that relates magnetic fields to electric currents that produce them. Using Ampere’s law, one can determine the magnetic field associated with a given current or current associated with a given magnetic field, providing there is no time changing electric field present.
A magnetic field is an invisible force field generated by a magnet (like bar magnet and horseshoe magnet), moving electric charge (like current-carrying wire, toroid, and solenoid), spinning electrons, and changing electric field.
A magnetic field (sometimes called B-field [1]) is a physical field that describes the magnetic influence on moving electric charges, electric currents, [2]: ch1 [3] and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.
The magnetic field created by current following any path is the sum (or integral) of the fields due to segments along the path (magnitude and direction as for a straight wire), resulting in a general relationship between current and field known as Ampere’s law.
A magnetic field is a vector field in the neighbourhood of a magnet, electric current, or changing electric field in which magnetic forces are observable. A magnetic field is produced by moving electric charges and intrinsic magnetic moments of elementary particles associated with a fundamental quantum property known as spin.
Magnetic Field Formula. The magnetic field formula contains the \(constant^{\mu_{0}}\). This is known as permeability of free space and has a \(value^{\mu}_{0}\) = \(4\pi \times 10^{-7} (T \cdot m\)/ A). Besides, the unit of a magnetic field is Tesla (T).
The equation used to calculate the magnetic field produced by a current is known as the Biot-Savart law. It is an empirical law named in honor of two scientists who investigated the interaction between a straight, current-carrying wire and a permanent magnet.
First, our basic equations for the magnetic field, \begin{equation*} \FLPdiv{\FLPB}=0,\quad\FLPcurl{\FLPB}=\FLPj/c^2\epsO, \end{equation*} are linear in $\FLPB$ and $\FLPj$. That means that the principle of superposition also applies to magnetic fields.
A moving electric charge creates a magnetic field, and this field can act on magnetic objects (such as charged particles) and lead to a change in their motion. Understanding the magnetic force means learning about magnetic fields and how to calculate them for different arrangements of charge.
The Magnetic field is a vector quantity like the Electric Field. The magnitude of the magnetic field is given by Equation [1] and the direction doesn't point away, towards, or in the same direction as the wire, but wraps around the wire. The units for the Magnetic Field are Amps/meter [A/m].