Faraday's law of induction
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Faraday's law of induction
Faraday's law of induction is a fundamental principle of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). This phenomenon is known as electromagnetic induction.
History[edit | edit source]
The law is named after Michael Faraday, who conducted extensive research on electromagnetic induction in the early 19th century. Faraday's experiments demonstrated that a changing magnetic field within a closed loop of wire induces an electric current in the wire.
Mathematical Formulation[edit | edit source]
Faraday's law of induction can be mathematically expressed as:
- \[ \mathcal{E} = -\frac{d\Phi_B}{dt} \]
where:
- \(\mathcal{E}\) is the induced EMF,
- \(\Phi_B\) is the magnetic flux through the circuit,
- \(t\) is time.
The negative sign in the equation represents Lenz's law, which states that the direction of the induced EMF and the resulting current will oppose the change in magnetic flux that produced them.
Applications[edit | edit source]
Faraday's law of induction is the principle behind many electrical devices and technologies, including:
Related Concepts[edit | edit source]
See Also[edit | edit source]
References[edit | edit source]
External Links[edit | edit source]
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