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A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil? - Physics

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Question

A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil?

Numerical

Solution

N = 100,

R = 8 × 10−2 m,

I = 0.4 A,

μ0 = 4π × 107 T m/A

B = `(mu_0 "NI")/"2R"`

= `((4pi xx 10^-7)(100)(0.4))/(2(8 xx 10^-2))`

= 3.14 × 10−4 T

Hence, the magnitude of the magnetic field is 3.14 × 10−4 T.

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Chapter 4: Moving Charges and Magnetism - Exercise [Page 169]

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NCERT Physics [English] Class 12
Chapter 4 Moving Charges and Magnetism
Exercise | Q 4.1 | Page 169
NCERT Physics [English] Class 12
Chapter 4 Moving Charges and Magnetism
Exercise 2 | Q 1 | Page 169
Balbharati Physics [English] 12 Standard HSC Maharashtra State Board
Chapter 10 Magnetic Fields due to Electric Current
Exercises | Q 12 | Page 250

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