Magnetic Effects & Magnetism

JEE Main level, single correct, medium

8 of 276

Question 8 of 276

A current of 1.5A1.5A is flowing through a triangle, of side 9cm9cm each. The magnetic field at the centroid of the triangle is :
(Assume that the current is flowing in the clockwise direction.)

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Answer: (D) 3×10−5T,3\times {10}^{-5}T, inside the plane of triangle


B1=μ0I4πR(2sin⁡60)=4π×10−7×1.54π.(332)×10−2×2×32=1×10−5{B}_{1}=\dfrac{{\mu }_{0}I}{4\pi R}\left(2\sin 60\right)=\dfrac{4\pi \times {10}^{-7}\times 1.5}{4\pi .\left(\dfrac{3\sqrt{3}}{2}\right)\times {10}^{-2}}\times 2\times \dfrac{\sqrt{3}}{2}=1\times {10}^{-5}
Bnet=3B1=3×10−5T⊗{B}_{net}=3{B}_{1}=3\times {10}^{-5}T⊗

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