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Faraday's Law

Source lecture(s): SC134 Lec11-13

Physical Meaning

Changing magnetic flux induces EMF.

Variable Definitions

Symbol Meaning
\(\mathcal{E}\) induced EMF
\(\Phi_B\) magnetic flux
\(N\) number of turns

Assumptions

Quasi-static (neglect radiation); \(N\) turns linked by same flux.

Derivation

Empirical law; minus sign from Lenz's law.

Applications

Generators, transformers, induction stoves, guitar pickups.

Connections to Other Equations

  • magnetic-flux
  • maxwell-equations