Name: Self Induction
Uploaded: 2019-07-19
Duration: 5 min 48 s
Description: This video describes the principle of self induction. It defines self-inductance and gives the formula for the same and derives its SI unit as well.

Question

Define coefficient of self induction and state its units.

Accepted Answer

Self-inductance of a coil is defined as the phenomenon due to which an emf is induced in a coil when the magnetic flux of coil, linked with the coil changes or current in coil changes.Coefficient of self inductance is a ratio of electromotive force produced in a circuit by self induction to the rate of change of current producing it. Unit of coefficient of self inductance is Henry.

Coefficient of self induction:

When a current $I$ flows through a coil, the magnetic flux ( $ϕ$ ) linked with the coil is proportional to the current.

$ϕ \propto I$

$\Rightarrow ϕ = L I$

where $L$ is a constant of proportionality and is called coefficient of self induction of self-inductance.

If $I = 1 A$ , $ϕ = L \times 1$ ,

$\Rightarrow L = ϕ$

Therefore, the coefficient of self-induction of a coil is numerically equal to the magnetic flux linked with a coil when unit current flows through it.

Also, The coefficient of self induction of a coil is numerically equal to the opposing emf induced in the coil when the rate of change of current through the coil is unity. The unit of self inductance is henry $(H)$ . $1 H e n r y$ is also equal to $1 W e b e r / a m p e r e$ .

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