Question

On what factors, does the magnitude of the emf induced in a circuit depends?

Answer 1

Electromotive force (emf) :

1. Electromotive force may be defined as the electric potential produced by either an electrochemical cell or by changing the magnetic field.
2. EMF is the commonly used acronym for electromotive force.
3. A battery or a generator is used for the conversion of energy from one form to another.
4. According to Michael Faraday’s law,
5. Induced emf in the coil, $e=-\left(\raisebox{1ex}{$d\phi $}\!\left/ \!\raisebox{-1ex}{$dt$}\right.\right)$, where $d\phi$ denotes the change in magnetic flux in the coil
6. So we can say that the induced emf is directly proportional to the change in magnetic flux.
7. Now Magnetic flux in a coil, $\phi =N.B.A.\cos \left(\theta \right)$
8. Or $e\propto \phi \propto N.B.A.\cos \left(\theta \right)$, Where $N$=number of turns in the coil, $B$= magnetic field, $A$=area of the coil, $\theta$=angle made between the magnetic field and the normal to the area of the coil.

Thus, the magnitude of the emf in a circuit depends on coil turns, the intensity of the magnetic field, the area of the coil, and the angle between the magnetic field and the normal to the area of the coil.