Statically Induced EMF :
When the coil and magnetic field system both are stationary but the magnetic field linking with the coil changes (by changing the current producing the field), the emf thus induced in the coil is called statically induced emf.
The statically induced emf may be:
(i) Self-induced emf (ii) Mutually induced emf
(i) Self-induced emf: The emf induced in a coil due to the change of flux produced by it linking with its own turns is called self-induced emf as shown in Fig.
The direction of this induced emf is such that it opposes the cause which produces it (Lenz’s law) i.e., change of current in the coil. Since the rate of change of flux linking with the coil depends upon the rate of change of current in the coil. Therefore, the magnitude of self-induced emf is directly proportional to the rate of change of current in the coil. Therefore, the magnitude of self-induced emf is directly proportional to the rate of change of current in the coil, i.e.,
where L is a constant of proportionality and is called self-inductance or co-efficient of self
inductance or inductance of the coil.
Mutually induced emf
The emf induced in a coil due to the change of flux produced by another (neighboring) coil,
linking with it is called mutually induced emf as shown in Fig.
Since the rate of change of flux linking with coil ‘B’ depends upon the rate of change of current in coil ‘A’. Therefore, the magnitude of mutually induced emf is directly proportional to the rate of change of current in coil ‘A’, i.e.,
👉 where M is a constant of proportionality and is called mutual inductance or co-efficient of mutual inductance.
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