A long, straight current carrying wire (thick horizontal wire) and an external magnetic field (thin diagonal lines) are nearly parallel as shown. How will the wire move in response to the magnetic field: a) it will twist to point the current out of the page b) it will be pushed into the page and travel away from the reader without twisting c) it will twist to align the current perpendicular to the magnetic field in the plane of the page  d) it will twist to align the current parallel with the magnetic field e) it will be pushed out of the page and travel toward the reader without twisting

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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A long, straight current carrying wire (thick horizontal wire) and an external magnetic field (thin diagonal lines) are nearly parallel as shown.

How will the wire move in response to the magnetic field:

a) it will twist to point the current out of the page

b) it will be pushed into the page and travel away from the reader without twisting

c) it will twist to align the current perpendicular to the magnetic field in the plane of the page 

d) it will twist to align the current parallel with the magnetic field

e) it will be pushed out of the page and travel toward the reader without twisting

 

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Expert Solution
Step 1: Introduce the question.

In the given figure, a current carrying conductor is placed in the external magnetic field.


To determine: the effect (direction) of magnetic field on the current carrying conductor.

Step 2: Determine effect of magnetic field.

To determine the effect (force) due to magnetic field on a current carrying conductor, Fleming's left hand rule is used.

stack F subscript m with rightwards harpoon with barb upwards on top equals integral I stack d calligraphic l with rightwards arrow on top cross times B with rightwards arrow on top.


In the given figure, we split the magnetic field in two components:

  • one component is parallel to the direction of current, and
  • other is perpendicular to the direction of current.

The parallel component of magnetic field will not produce any magnetic force on the current carrying conductor. 

According to Fleming's left hand rule, the magnetic field is represented by first finger, direction of current by middle finger of left hand then direction of force will be given by left hand thumb.


We can conclude that the magnetic force will push into the page and travel away from the reader without twisting

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