Two straight conductors and are placed in the same uniform magnetic field

MATHEMATICS · Single correct · ISC · Mathematics · Physics · Magnetic Effects of Current and Magnetism

Problem

Two straight conductors

X

and

Y

are placed in the same uniform magnetic field. For

X

I_X = 5\,\text{A}

L_X = 0.30\,\text{m}

\theta_X = 90^{\circ}

. For

Y

I_Y = 10\,\text{A}

L_Y = 0.15\,\text{m}

\theta_Y = 30^{\circ}

. What is the ratio

F_X : F_Y

of the magnitudes of the forces acting on them? (a)

1 : 2

(b)

3 : 2

(c)

2 : 1

(d)

1 : 1