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JEE Main 202229 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2022 · 29 July · Morning Shift · Physics · Magnetic Effects of Current

A wire of length 314cm carrying current of 14A is bent to form a...

A wire of length 314cm314cm carrying current of 14A14A is bent to form a circle. The magnetic moment of the coil is A−m2A - {m}^{2}. [Given π=3.14\pi = 3 . 14]A wire of length 314cm carrying current of 14A is bent to form a circle. The magnetic moment of the coil is A - m ^ 2 .

Correct answer

11

Step-by-step solution

A wire of length 314cm carrying current of 14A is bent to form a circle. The magnetic moment of the coil is A - m ^ 2 .

Length of the wire ll when bent becomes circumference of the loop, whose radius is given by R=l2π=314100(2×3.14)=12mR = \dfrac{l}{2\pi} = \dfrac{314}{100\left(2 \times 3 . 14\right)} = \dfrac{1}{2}m

Magnetic moment of the coil is M=IAM = IA

=14×πR2= 14 \times \pi{R}^{2}

=14×(3.14)×14= 14 \times \left(3 . 14\right) \times \dfrac{1}{4}

=10.99≈11.00A−m2= 10 . 99 \approx 11 . 00A - {m}^{2}

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