Induced electric field

Definition

An induced electric field is a non-conservative electric field generated by a changing magnetic flux. Unlike electrostatic fields, it forms closed loops and is described by Faraday's law of induction.

5 Must Know Facts For Your Next Test

1. Induced electric fields are generated when there is a time-varying magnetic flux.
2. Faraday's law of induction mathematically describes the relationship between changing magnetic flux and induced electromotive force (EMF).
3. The direction of the induced electric field follows the right-hand rule for loops created by the changing magnetic flux.
4. Induced electric fields are non-conservative, meaning they do not have a potential function and do not follow $\vec{E} = -\nabla V$.
5. Applications include electrical generators, transformers, and inductors, where changing magnetic fields induce currents.

Review Questions

• What causes an induced electric field to form?
• How does Faraday's law relate to induced electric fields?
• Why are induced electric fields considered non-conservative?

Related terms

Faraday's Law: A fundamental law stating that a change in magnetic flux through a loop induces an electromotive force (EMF) proportional to the rate of change.

Electromagnetic Induction: The process by which a changing magnetic field within a closed loop induces an EMF, causing current to circulate if the circuit is closed.

Magnetic Flux: $\Phi_B = \int \vec{B} \cdot d\vec{A}$; represents the quantity of magnetism, considering the strength and extent of a magnetic field over an area.