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STD 12 - 4. Moving charges and magnetism — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 - 4. Moving charges and magnetism4 Marks
MCQ
Three rings, each having equal radius $R,$ are placed mutually perpendicular to each other and each having its centre at the origin of co-ordinate system. If current $I$ is flowing thriugh each ring then the magnitude of the magnetic field at the common centre is
  • ✓
    $\sqrt 3 \frac{{{\mu _0}I}}{{2R}}$
  • B
    zero
  • C
    $\left( {\sqrt 2  - 1} \right)\frac{{{\mu _0}I}}{{2R}}$
  • D
    $\left( {\sqrt 3  - \sqrt 2 } \right)\frac{{{\mu _0}I}}{{2R}}$
✓

Answer

Correct option: A.
$\sqrt 3 \frac{{{\mu _0}I}}{{2R}}$
a
$\vec{B}=B_{x} \hat{i}+B_{y} \hat{j}+B_{z} \hat{k}$

$B=\sqrt{B_{x}^{2}+B_{y}^{2}+B_{z}^{2}}$

since $B_{x}=B_{y}=B_{z} s o B=\sqrt{3} B_{0}$

$B=\sqrt{3} . \frac{\mu_{0}}{4 \pi} \frac{2 \pi I}{R}=\sqrt{3} \frac{\mu_{0} I}{2 R}$

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