JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Magnetic Effects of Current

A wire of length 314 cm carrying current of 14 A is bent to form a circle. The magnetic moment of the coil is ______ A

- m^{2}

. [Given

π = 3.14

]

Answer: 11

Solution

The circumference of the circle is

2 π R = 314 cm = 3.14 m

, giving

R = 0.5 m

. The magnetic moment of a current loop is

μ = I A = I \times π R^{2} = 14 \times 3.14 \times (0.5)^{2} = 14 \times 3.14 \times 0.25 = 10.99 \approx 11 A-m^{2}

JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Integer answer

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