Physics Moving Charge and Magnetism Magnetic Force, Magnetic Field,Magnetic Moment, Magnetic Moment, Induction MCQ (Single Correct)

Two concentric coplanar circular loops of radii r 1 and r 2 carry currents of respectively i 1 and i 2 in opposite directions (one clockwise and the other anticlockwise.) The magnetic induction at the center of the loops is half that due to i 1 alone at the center. If r 2 = 2r 1 the value of i 2 / i 1 is

A
2
B
1/2
C
1/4
D
1

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The correct answer is:
D

Magnetic field at center due to smaller loop

..... (i)

Due to Bigger loop So net magnetic field at center

According to question

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