Question 86: Magnetism and Matter

Question

As shown in the figure, a current of $2 \mathrm{~A}$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centroid $\mathrm{O}$ of the triangle is

(Neglect the effect of earth's magnetic field)

Accepted Answer

$${B_{net}} = {{{\mu _0}i} \over {4\pi r}}(\sin \alpha  + \sin \beta ) 	imes 3$$
$$ = {{{\mu _0} 	imes 2} \over {4\pi  	imes (2 	imes {{10}^{ - 2}})}} 	imes \left( {{{\sqrt 3 } \over 2} + {{\sqrt 3 } \over 2}} ight) 	imes 3$$
$$ = {10^{ - 7}} 	imes {10^2}(3\sqrt 3 )$$
$$ = 3\sqrt 3  	imes {10^{ - 5}}$$ T

Answer

$4 \sqrt{3} 	imes 10^{-4} \mathrm{~T}$

Answer

$4 \sqrt{3} 	imes 10^{-5} \mathrm{~T}$

Answer

$3 \sqrt{3} 	imes 10^{-5} \mathrm{~T} $

Answer

$\sqrt{3} 	imes 10^{-4} \mathrm{~T}$

Magnetism and Matter

As shown in the figure, a current of 2 \mathrm{~A} flowing in an equilateral triangle of side 4 \sqrt{3} \mathrm{~cm}. The magnetic field at the centroid \mathrm{O} of the triangle is (Neglect the effect of earth's magnetic field)

Choose the correct answer: