Question 154: Magnetism and Matter

Question

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

Accepted Answer

$$B = 3\left[ {{{{\mu _0}i} \over {4\pi r}}(\sin 60^\circ  + \sin 60^\circ )} ight]$$
$$	an 60^\circ  = {{l/2} \over r}$$
where $$r = {{9 	imes {{10}^{ - 2}}} \over {2\sqrt 3 }}$$ M
$$	herefore$$ B = 3 $$	imes$$ 10
-5
T
Current is flowing in clockwise direction so, $$\overrightarrow B $$ is inside plane of triangle by right hand rule.

Answer

3 $$	imes$$ 10$$-$$7 T, outside the plane of triangle

Answer

$$2\sqrt 3 $$ $$	imes$$ 10$$-$$7 T, outside the plane of triangle

Answer

$$2\sqrt 3 $$ $$	imes$$ 10$$-$$5 T, inside the plane of triangle

Answer

3 $$	imes$$ 10$$-$$5 T, inside the plane of triangle

Magnetism and Matter

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

Choose the correct answer: