Self Inductance of Solenoid – Rankers Physics
Topic: Electromagnetic Induction
Subtopic: Self Induction

Self Inductance of Solenoid

Assertion (A): The self inductance of a solenoid can be increased by decreasing length if number of turns are fixed.
Reason (R): Self inductance of a solenoid is directly proportional to current passing through it.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Self inductance of a solenoid is given by \(L = \frac{\mu_0 N^2 A}{l}\). So, Assertion (A) is true as \(L\) is inversely proportional to \(l\). Self inductance \(L\) is a property of the coil's geometry and material, not dependent on current. So, Reason (R) is false. Thus, (A) is true but (R) is false.

Leave a Reply

Your email address will not be published. Required fields are marked *