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Physics · JEE | Moving Charges and Magnetism

हिन्दी

A circular loop of radius \( R \) carrying current \( I \) has magnetic field \( B_0 \) at its center. The magnetic field on the axis at a distance \( R \) from the center is:

  1. A
    \( \sqrt{2} B_0 \)
  2. B
    \( \frac{B_0}{2} \)
  3. C
    \( \frac{B_0}{4} \)
  4. D
    \( \frac{B_0}{2 \sqrt{2}} \)
View Answer & Solution

Correct answer · Option D

\( \frac{B_0}{2 \sqrt{2}} \)

Explanation

Magnetic field on axis is \( B = \frac{\mu_0 I R^2}{2(x^2 + R^2)^{3/2}} \). For \( x = R \), \( B = \frac{\mu_0 I}{2R(2)^{3/2}} = \frac{B_0}{2\sqrt{2}} \).
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