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A solenoid of length π m and 5 cm in diameter has winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its center along the axis.

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Question

A solenoid of length π m and 5 cm in diameter has winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its center along the axis.

Numerical
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Solution

Data: L= 3.142 m, N = 1000, l = 5A,

μ0 = 4π × 10-7 T m/A 

The magnetic induction,

B = `mu_0 "nI" = mu_0 ("N"/"L")"I"`

`= (4pi xx 10^-7)(1000/3.142)(5) = (20 xx 3.142 xx 10^-4)/3.142`

= 2 × 10-3 T

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Chapter 10: Magnetic Fields due to Electric Current - Exercises [Page 250]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 10 Magnetic Fields due to Electric Current
Exercises | Q 15 | Page 250

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