Explain and define the self inductance of a coil. ORDefine the coeffi

1.	Explain and define the self inductance of a coil. ORDefine the coefficient of self induction.
Answer» When the current through a coil goes on changing, the magnetic flux linked with the coil also goes on changing. The magnetic flux (NΦ ) linked with the coil at any instant is directly proportional to the current (I) through the coil at that instant. NΦ_m ∝ I ∴ NΦ_m = LI where L is a constant, dependent on the geometry of the coil, called the self inductance or the coefficient, of self induction of the coil. The self-induced emf in the coil is e = - \(\cfrac{dNϕ _m}{dt}\) = - \(\cfrac{d}{dt}\) (LI) = - L \(\cfrac{DI}{dt}\) In magnitude, e = L \(\cfrac{d}{dt}\) \(\therefore\) L = \(\cfrac{e}{dI/dt}\) Definition : The self inductance or the coefficient of self induction of a coil is defined as the emf induced in the coil per unit time rate of change of current in the same coil. OR (using L = NΦ_m /I), the self inductance of a coil is the ratio of magnetic flux linked with the coil to the current in it.

Explain and define the self inductance of a coil. ORDefine the coefficient of self induction.

Answer»

When the current through a coil goes on changing, the magnetic flux linked with the coil also goes on changing. The magnetic flux (NΦ ) linked with the coil at any instant is directly proportional to the current (I) through the coil at that instant.

NΦ_m ∝ I

∴ NΦ_m = LI

where L is a constant, dependent on the geometry of the coil, called the self inductance or the coefficient, of self induction of the coil. The self-induced emf in the coil is

e = - \(\cfrac{dNϕ _m}{dt}\) = - \(\cfrac{d}{dt}\) (LI) = - L \(\cfrac{DI}{dt}\)

In magnitude,

e = L \(\cfrac{d}{dt}\)

\(\therefore\) L = \(\cfrac{e}{dI/dt}\)

Definition : The self inductance or the coefficient of self induction of a coil is defined as the emf induced in the coil per unit time rate of change of current in the same coil. OR (using L = NΦ_m /I), the self inductance of a coil is the ratio of magnetic flux linked with the coil to the current in it.

Explain and define the self inductance of a coil. ORDefine the coefficient of self induction.

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