Summarizing Induced Emf and Magnetic Flux

Summary

• The crucial quantity in induction is magnetic flux \(\Phi \), defined to be \(\Phi =\text{BA}\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta \), where \(B\) is the magnetic field strength over an area \(A\) at an angle \(\theta \) with the perpendicular to the area.
• Units of magnetic flux \(\Phi \) are \(\text{T}\cdot {\text{m}}^{2}\).
• Any change in magnetic flux \(\Phi \) induces an emf—the process is defined to be electromagnetic induction.

Glossary

magnetic flux

the amount of magnetic field going through a particular area, calculated with \(\Phi =\text{BA}\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta \) where \(B\) is the magnetic field strength over an area \(A\) at an angle \(\theta \) with the perpendicular to the area

electromagnetic induction

the process of inducing an emf (voltage) with a change in magnetic flux