Self Induction:
When a changing current flows in a coil then due to the change in magnetic flux in the coil produces an electro-motive force $\left(emf \right)$ in that coil. This phenomenon is called the principle of Self Induction.
The direction of electro-motive force can be found by applying "Lenz's Law".
Mathematical Analysis of Coefficient of Self Induction:
Let us consider that a coil having the number of turns is $N$. If the change in current is $i$, then linkage flux in a coil will be
$N \phi \propto i$
$N\phi = L i \qquad(1)$
Where $L$ $\rightarrow$ Coefficient of Self Induction.
According to Faraday's law of electromagnetic induction. The electro-motive force $\left(emf \right)$ in a coil is
$e=-N\left( \frac{d \phi}{dt} \right)$
$e=-\frac{d \left(N \phi \right)}{dt} \qquad(2)$
From equation $(1)$ and equation $(2)$
$e=-\frac{d \left(L i\right)}{dt} $
$e=-L \left(\frac{d i}{dt} \right) $
$L = \frac{e}{\left(\frac{d i}{dt} \right)}$
If $\left(\frac{d i}{dt} \right) = 1$
Then
$L = e$
The above equation shows that If the rate of flow of current in a coil is unit then the coefficient of self-induction in that coil will be equal to the induced electro-motive force $\left( emf \right)$.
Angle of Acceptance → If incident angle of light on the core for which the incident angle on the core-cladding interface equals the critical angle then incident angle of light on the core is called the "Angle of Acceptance. Transmission of light when the incident angle is equal to the acceptance angle If the incident angle is greater than the acceptance angle i.e. $\theta_{i}>\theta_{0}$ then the angle of incidence on the core-cladding interface will be less than the critical angle due to which part of the incident light is transmitted into cladding as shown in the figure below Transmission of light when the incident angle is greater than the acceptance angle If the incident angle is less than the acceptance angle i.e. $\theta_{i}<\theta_{0}$ then the angle of incidence on the core-cladding interface will be greater than the critical angle for which total internal reflection takes place inside the core. As shown in the figure below Transmission of lig
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