iran-konkur 2023 Q67

iran-konkur · Other · konkur-riazi_1402_tir_specialized Not Maths
67. According to the figure, three loops with equal currents of $0.5\,\text{A}$, each with radius $15\,\text{cm}$, are placed such that the plane of each loop is perpendicular to the other two loops. The magnitude of the magnetic field at point O (the center of the loops) is how many tesla? $\left(\mu_0 = 4\pi \times 10^{-7}\,\dfrac{\text{T.m}}{\text{A}}\right)$
[Figure: Three circular loops arranged mutually perpendicular to each other, with center point O]
  • [(1)] $2\sqrt{3} \times 10^{-6}$
  • [(2)] $2\sqrt{2} \times 10^{-6}$
  • [(3)] $4 \times 10^{-6}$
  • [(4)] $2 \times 10^{-6}$

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\textbf{67.} According to the figure, three loops with equal currents of $0.5\,\text{A}$, each with radius $15\,\text{cm}$, are placed such that the plane of each loop is perpendicular to the other two loops. The magnitude of the magnetic field at point O (the center of the loops) is how many tesla? $\left(\mu_0 = 4\pi \times 10^{-7}\,\dfrac{\text{T.m}}{\text{A}}\right)$

\textit{[Figure: Three circular loops arranged mutually perpendicular to each other, with center point O]}

\begin{itemize}
    \item[(1)] $2\sqrt{3} \times 10^{-6}$
    \item[(2)] $2\sqrt{2} \times 10^{-6}$
    \item[(3)] $4 \times 10^{-6}$
    \item[(4)] $2 \times 10^{-6}$
\end{itemize}



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