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Question: Answered & Verified by Expert
An equilateral triangle is made by uniform wires $A B, B C, C A .$ A current $I$ enters at $A$ and leaves from the mid point of $B C$. If the lengths of each side of the triangle is $L,$ the magnetic field $B$ at the centroid $O$ of the triangle is
PhysicsMagnetic Effects of CurrentWBJEEWBJEE 2013
Options:
  • A $\frac{\mu_{0}}{4 \pi}\left(\frac{4 L}{L}\right)$
  • B $\frac{\mu_{0}}{2 \pi}\left(\frac{4 L}{L}\right)$
  • C $\frac{\mu_{0}}{4 \pi}\left(\frac{2 L}{L}\right)$
  • D zero
Solution:
1568 Upvotes Verified Answer
The correct answer is: zero
The given situation can be shown as


The magnetic field at centroid $O$ = Magnetic field due to left part + Magnetic field due to right part
$\therefore$
$$
\mathrm{B}=\mathrm{B}_{1}+\mathrm{B}_{2}=0
$$
(: direction of $B$ due to both parts is different of $O$ )

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