If both the Number of Turns and Core Length of an Inductor is Doubled Keeping other Factorsconstant, then Its Self-Inductance Will Be ____ ?

If both the number of turns and core length of an inductor is doubled keeping other factorsconstant, then its self-inductance will be- 

(i) Unaffected 
(ii) doubled 
(iii) halved 
(iv) quadrupled 




(ii) doubled 

Explanation:

If both the number of turns and core length of an inductor is doubled keeping other factorsconstant, then its self-inductance will be doubled.

L=`\mu_{0}\frac{"N"^{2}}{l}"A"`

L'=`\mu_{0}\frac{("2N")^{2}}{2l}"A"`

=`2\mu_{0}\frac{"N"^{2}}{l}"A"`

= 2L






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