The self-inductance of a solenoid of N-turns is proportional to

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

\frac{1}{N}

N

N^{2}

\frac{1}{N^{2}}

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The self-inductance of a solenoid of N-turns is proportional to

N^{2}

.
According to 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 given by

L = \frac{μ_{0} N^{2} A}{l}

Where

μ_{0} =

Absolute permeability

N =

Number of turns

l =

Length of the solenoid

A =

Area of the solenoid

\Rightarrow L α N^{2}

From the equation of self inductance of solenoid, we can say that the self-inductance of solenoid is proportional directly to the square of the number of turns of the solenoid.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET