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Question

Self inductance of a long solenoid depends upon following(s)-

A
number of turns
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B
radius of solenoid
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C
length of solenoid
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D
none of these
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Solution

The correct options are
A radius of solenoid
B number of turns
C length of solenoid
N=total number of turns in solenoid
l=length of solenoid
R=radius of cross section of solenoid
Magnetic field inside solenoid =B=μoNli where, Nl=number of turns per unit length

Now, emf induced= E=NBA

E=N×μoNli×πR2

E=μoN2πR2li=Li
where L=self inductance
Thus, L=μoN2πR2l

Hence, L depends on N, R and l.

Answer-(A),(B),(C)


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