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A horizontal power line carries a current of 5110 A from south to north. Earth's magnetic field (66.1 µT) is directed toward the north and is inclined downward at 70.0° to the horizontal. Find the (a) magnitude and (b) direction of the magnetic force on 78.0 m of the line due to Earth's field.

A horizontal power line carries a current of 5110 A from south to north. Earth's magnetic field (66.1 µT) is directed toward the north and is inclined downward at 70.0° to the horizontal. Find the (a) magnitude and (b) direction of the magnetic force on 78.0 m of the line due to Earth's field.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A horizontal power line carries a current of 5110 A from south to north. Earth's magnetic field (66.1 µT) is directed toward the north and is inclined downward at 70.0° to the horizontal. Find the (a) magnitude and (b) direction of the magnetic force on 78.0 m of the line due to Earth's field. (a) Number Units (b) Use correct number of significant digits; the tolerance is +/-2%
Transcribed Image Text:A horizontal power line carries a current of 5110 A from south to north. Earth's magnetic field (66.1 µT) is directed toward the north and is inclined downward at 70.0° to the horizontal. Find the (a) magnitude and (b) direction of the magnetic force on 78.0 m of the line due to Earth's field. (a) Number Units (b) Use correct number of significant digits; the tolerance is +/-2%
Expert Solution
Step 1

Given data:

  • The current carries by a power line from south to north is I=5110 A.
  • The magnitude of Earth's magnetic field is B=66.1 µT.
  • The inclination of magnetic field from horizontal is θ=70.0o.
  • The length of the power line is L=78.0 m.

 

Part-(a)

The expression for the magnitude of magnetic force on the line due to Earth's field can be calculated as,

F=I×B×L×sinθ

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