Three infinitely long straight conductors

PHYSICS · Single correct · CBSE · Physics · Magnetic Effects of Electric Current · Magnetic Effects of Electric Current

Problem

Three infinitely long straight conductors, each carrying the same current

I

out of the page, are fixed at the vertices of an equilateral triangle of side

a

. What is the magnitude of the magnetic field at the centroid of the triangle? (a)

\dfrac{3\sqrt{3}\,\mu_0 I}{2\pi a}

(b)

\dfrac{\sqrt{3}\,\mu_0 I}{2\pi a}

(c)

0

(d)

\dfrac{\mu_0 I}{2\pi a}