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TS EAMCET · Physics · Electromagnetic Induction

A solenoid of radius \(R\) has \(n\) turns per unit length, then the self-inductance of the solenoid per unit length is

  1. A \(\mu_0 m \pi R^2\)
  2. B \(\mu_0 r R^2\)
  3. C \(\mu_0 n^2 R^2\)
  4. D \(\mu_0 n^2 \pi R^2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\mu_0 n^2 \pi R^2\)

Step-by-step Solution

Detailed explanation

Self-induction of solenoid, \(L=\frac{N \phi}{i}\) where, \(\phi=\) magnetic flux, \(N=\) total numbers of tums and \(i=\) current. Here, \(N=n l, n=\) number of turn per unit length and \(l=\) length of solenoid.…