What is the value of the magnetic field induction at the point P mentioned in the figure?

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

What is the value of the magnetic field induction at the point P mentioned in the figure?
  1. \(\frac{\mu_{0} \mathrm{I}}{4 \pi}\left(\frac{3 \pi}{2 \mathrm{R}}+\frac{\sqrt{2}}{\mathrm{~d}}\right)\)
  2. \(\frac{\mu_{0} \mathrm{I}}{2 \pi}\left(\frac{3 \pi}{2 \mathrm{R}}+\frac{\sqrt{3}}{\mathrm{~d}}\right)\)
  3. \(\frac{\mu_{0} \mathrm{I}}{4 \pi}\left(\frac{3 \pi}{4 \mathrm{R}}-\frac{\sqrt{3}}{\mathrm{~d}}\right)\)
  4. \(\frac{\mu_{0} \mathrm{I}}{3 \pi}\left(\frac{3 \pi}{4 \mathrm{R}}+\frac{\sqrt{2}}{\mathrm{~d}}\right)\)

Answer

(A) _ 0 I 4 ( 3 2 R + 2 ~d )

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