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MHT CET · Physics · Magnetic Effects of Current

A circular coil carrying current has radius ' \(R\) '. The distance from the centre of the coil on the axis where the magnetic induction will be \(\frac{1}{27}\) th to its value at the centre of the coil is

  1. A \(3 \sqrt{2} \mathrm{R}\)
  2. B 3 R
  3. C \(2 \sqrt{2} \mathrm{R}\)
  4. D 2 R
Verified Solution

Answer & Solution

Correct Answer

(C) \(2 \sqrt{2} \mathrm{R}\)

Step-by-step Solution

Detailed explanation

\(B_x = \frac{1}{27} B_c\) \(\frac{\mu_0 I R^2}{2(R^2 + x^2)^{3/2}} = \frac{1}{27} \frac{\mu_0 I}{2R}\)