Answered: The magnetic field of the earth is…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

The magnetic field of the earth is approximately 3×10−5 T. At what distance from a long straight wire carrying a steady current of 10 A is the field equal to 10 percent of the earth’s field? Suggest at least two ways to help reduce the effect of electrical circuits on the navigation compass in a boat or airplane.

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Given

The magnetic field of the earth $B_{E} = 3 \times 10^{- 5} T$

The expression for the magnetic field of the conductor is given by

$\begin{array}{rcl} B & = & \frac{10}{100} \times B_{E} \\ = & 0.1 \times 3 \times 10^{- 5} \\ = & 3 \times 10^{- 5} T \end{array}$

The current through the conductor $I = 10 A$

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