Solved: A straight, 2.5-m wire carries a typical household

Chapter 27, Problem 36E

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QUESTION:

Problem 36E

A straight, 2.5-m wire carries a typical household current of 1.5 A (in one direction) at a location where the earth’s magnetic field is 0.55 gauss from south to north. Find the magnitude and direction of the force that our planet’s magnetic field exerts on this wire if it is oriented so that the current in it is running (a) from west to east, (b) vertically upward, (c) from north to south. (d) Is the magnetic force ever large enough to cause significant effects under normal household conditions?

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QUESTION:

Problem 36E

A straight, 2.5-m wire carries a typical household current of 1.5 A (in one direction) at a location where the earth’s magnetic field is 0.55 gauss from south to north. Find the magnitude and direction of the force that our planet’s magnetic field exerts on this wire if it is oriented so that the current in it is running (a) from west to east, (b) vertically upward, (c) from north to south. (d) Is the magnetic force ever large enough to cause significant effects under normal household conditions?

ANSWER:

Solution 36E

Step 1 of 2:

Introduction:

The force on a current carrying conductor in a magnetic field is given by F

Length of the wire=2.5m

Current =1.5A

B=0.55Gauss=5.5x10-5 Tesla in upward direction.

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