Question
- Define self inductance. Write its S.I. units.
- Derive an expression for self inductance of a long, solenoid of length l, cross sectional area A having N number of turns.
Alternate Answer
It is the emf induced in the coil when the rate of change of current through it is unity.
SI Unit is henry
The magnetic field due to a current I flowing in the solenoid is B =µ0nI The total flux linked with the solenoid is NBA, i.e.
$\phi =\big(\text{nl}\big)\big(\mu_\circ\text{nI}\big)\text{A}$
$ = \mu_\circ\text{n}^{2}\ \text{IlA}$
$\text{L} =\frac{\phi}{\text{I}} =\mu_\circ\text{n}^{2} \text{Al}$
$ = \frac{\mu_\circ\text{N}^{2}\text{A}}{l}$
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$\text{y}_{1} = \text{a} \cos\omega\text{t}\text{ and } \text{y}_{2} = \text{a} \cos(\omega\text{t} + \Phi)$
are superimposed on each other. Show that maximum intensity in interference pattern is four times the intensity due to each slit. Hence write the conditions for constructive and destructive interference in terms of the phase angle$\Phi$.