Magnetic Flux, Induction, and Faraday's Law

Faraday's law of induction states that an electromotive force is induced by a change in the magnetic flux.

Faraday's law of induction states that the EMF induced by a change in magnetic flux is $EMF = -N\frac{\Delta \Phi}{\Delta t}$, when flux changes by Δ in a time Δt.

Motion in a magnetic field that is stationary relative to the Earth induces motional EMF (electromotive force).

Back EMF, eddy currents, and magnetic damping are all due to induced EMF and can be explained by Faraday's law of induction.

Faraday's law of induction states that changing magnetic field produces an electric field: $\varepsilon = -\frac{\partial \Phi_B}{\partial t}$.

Electric generators convert mechanical energy to electrical energy; they induce an EMF by rotating a coil in a magnetic field.

An electric motor is a device that converts electrical energy into mechanical energy.

Inductance is the property of a device that tells how effectively it induces an emf in another device or on itself.

A a motional EMF is an electromotive force (EMF) induced by motion relative to a magnetic field B.

Mechanical work done by an external force to produce motional EMF is converted to heat energy; energy is conserved in the process.

Magnetic field stores energy. The energy density is given as $u = \frac{\mathbf{B}\cdot\mathbf{B}}{2\mu}$.

Transformers transform voltages from one value to another; its function is governed by the transformer equation.