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

A length L of wire carrying current I is bent into a circle of one turn. The field at the center of the coil is B 1 . A similar wire of length L carrying current I is bent into a square of one turn. The field at its center is B 2 . Then-

A
B 1 > B 2
B
B 1 < B 2
C
B 1 = B 2
D
Nothing can be predicted

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Text Solution

Verified by Experts
The correct answer is:
B

Magnetic field due to circle

B 1 = but L = 2 π R ⇒ 2R =

⇒ B 1 = 3.14

Magnetic field due to square coil B 2 =

but L = 4x ⇒ x =

∴ B 2 = 3.60

∴ B 1 < B 2

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