MCQ
Find magnetic field at point $P$ in given diagram.
  • A
    $\frac{{{\mu _0}i}}{{4\pi a}}\left( {\sqrt 3  - 1} \right) \odot $
  • B
    $\frac{{{\mu _0}i}}{{8\pi a}}\left( 1  - {\sqrt 3 } \right) \odot $
  • $\frac{{{\mu _0}i}}{{8\pi a}}\left( {\sqrt 3  - 1} \right) \odot $
  • D
    $\frac{{{\mu _0}i}}{{4\pi a}}\left( 1  - {\sqrt 3 } \right) \odot $

Answer

Correct option: C.
$\frac{{{\mu _0}i}}{{8\pi a}}\left( {\sqrt 3  - 1} \right) \odot $
c
${{\text{B}}_{\text{p}}} = \frac{{{\mu _0}{\text{i}}}}{{4\pi {\text{a}}}}\left( {\cos {\alpha _1} - \cos {\alpha _2}} \right)0$

$ = \frac{{{\mu _0}{\text{i}}}}{{4\pi {\text{a}}}}\left( {\cos {{30}^\circ } - \cos {{60}^\circ }} \right)$

$ = \frac{{{\mu _0}{\text{i}}}}{{8\pi {\text{a}}}}(\sqrt 3  - 1) \odot $

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