Loop X has radius and carries current

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

Problem

Loop X has radius

R

and carries current

I

. Loop Y has radius

2R

and carries the same current

I

. Both loops lie in the same plane. Which statement most accurately compares the magnitudes

B_X

and

B_Y

of the magnetic fields at the centers of the two loops? (a)

B_X = B_Y

(b)

B_X = \dfrac{1}{2}B_Y

(c)

B_X = 2B_Y

(d)

B_X = 4B_Y