What are the Biot-Savart Law and Ampere's Circuital Law, and how are they used tocalculate the magnetic field around a current-carrying conductor?

Answered: What are the Biot-Savart Law and…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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What are the Biot-Savart Law and Ampere's Circuital Law, and how are they used to
calculate the magnetic field around a current-carrying conductor?

Expert Solution

Step 1

Biot Savart law;

The States of Biot savart law The magnetic field of any the current carrying conductor at any point is inversely proportional to the square of the distance between the conductor and that point and

The magnetic field is directly proportional to the length of the conductor the current flowing in the conductor”.

Amperes Circuital law;

The States of Amperes Circuital law The line integral of the magnetic field around any closed path or loop in free space or vacuum is equal to $μ_{o}$ times of the net current or the total current which is crossing through the area.

mathematically,

$\oint \overset{⇀}{B} d \overset{⇀}{l} = μ_{o} \sum_{K} I$

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