JEE MAIN - Physics (2019 - 9th April Morning Slot - No. 15)
The total number of turns and cross-section area
in a solenoid is fixed. However, its length L is varied
by adjusting the separation between windings. The
inductance of solenoid will be proportional to :
1/L2
1/L
L
L2
Explanation
$$\phi $$ = NBA = LI
N $$\mu $$0 nI$$\pi $$R2 = LI
$$N{\mu _0}{N \over l}l\pi {R^2} = LI$$
N and R constant
Self inductance (L) $$ \propto {1 \over l} \propto {1 \over {length}}$$
N $$\mu $$0 nI$$\pi $$R2 = LI
$$N{\mu _0}{N \over l}l\pi {R^2} = LI$$
N and R constant
Self inductance (L) $$ \propto {1 \over l} \propto {1 \over {length}}$$
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