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A Copper Wire of Diameter 1.6 Mm Carries a Current of 20 A. Find the Maximum Magnitude of the Magnetic Field → B Due to this Current.

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Question

A copper wire of diameter 1.6 mm carries a current of 20 A. Find the maximum magnitude of the magnetic field `vecB` due to this current.

Numerical
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Solution

Given:

Magnitude of current, I = 20 A

Diameter of the wire, d = 1.6 × 10−3 m

∴ Radius of the wire = 0.8 × 10−3 m

The magnetic field intensity is given by

\[B = \frac{\mu_0 I}{2\pi r}\]

\[= \frac{2 \times {10}^{- 7} \times 20}{0 . 8 \times {10}^{- 3}} = 5\] mT

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Chapter 35: Magnetic Field due to a Current - Exercises [Page 250]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 35 Magnetic Field due to a Current
Exercises | Q 3 | Page 250

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