Summarizing Electric Generators

Summary

• An electric generator rotates a coil in a magnetic field, inducing an emfgiven as a function of time by

  \(\text{emf}=\text{NAB}\omega \phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\mathrm{\omega t}\text{,}\)

  where \(A\) is the area of an \(N\)-turn coil rotated at a constant angular velocity \(\omega \) in a uniform magnetic field \(B\).
• The peak emf \({\text{emf}}_{0}\) of a generator is

  \({\text{emf}}_{0}=\text{NAB}\omega \text{.}\)

Glossary

electric generator

a device for converting mechanical work into electric energy; it induces an emf by rotating a coil in a magnetic field

emf induced in a generator coil

\(\text{emf}=\text{NAB}\omega \phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\mathrm{\omega t}\), where \(A\) is the area of an \(N\)-turn coil rotated at a constant angular velocity \(\omega \) in a uniform magnetic field \(B\), over a period of time \(t\)

peak emf

\({\text{emf}}_{0}=\text{NAB}\omega \)