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JEE Mains · Physics · STD 12 - 5. Magnetism and matter

A solenoid of \(1200\) turns is wound uniformly in a single layer on a glass tube \(2\,m\) long and \(0.2\,m\) in diameter. The magnetic intensity at the center of the solenoid when a current of \(2\,A\) flows through it is:

  1. A \(2.4 \times 10^3\,A m ^{-1}\)
  2. B \(1.2 \times 10^3\,A m ^{-1}\)
  3. C \(1\,A m ^{-1}\)
  4. D \(2.4 \times 10^{-3}\,A m ^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.2 \times 10^3\,A m ^{-1}\)

Step-by-step Solution

Detailed explanation

Magnetic field at centre inside the solenoid is given by \(B =\mu_0 nI\) So magnetic intensity at centre \(H =\frac{ B }{\mu_0}= nI =\left(\frac{1200}{2}\right)(2)\) \(H =1.2 \times 10^3\,Am ^{-1}\)
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