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Q.

The self inductance of a long solenoid of length l is proportional to


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a

l2

b

l

c

1l

d

1l2 

answer is C.

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Detailed Solution

The self inductance of a long solenoid of length l is proportional to 1l.
Whenever the electric current is passing through a coil changes, the magnetic flux linked with it will also change. As a result, by Faraday’s laws of electromagnetic induction, an emf is induced in the coil, which opposes the change that causes it. This phenomenon is called self-inductance, and the emf induced is called back emf, current so produced in the coil is called induced current.
Self-inductance of a solenoid is
L=μ0N2Al
Where μ0= Absolute permeability
            N= Number of turns
             l= length of the solenoid
            A= cross-sectional area of the solenoid
Thus we can say that L α 1l.
 
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