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A room has its walls aligned accurately with respect to north, south, east, and west. The north wall has an area of 15
The magnetic flux through the north wall, the east wall, and the floor of the room that align accurately with respect to north, south, east, and west if the area of north wall, the east wall, and the floor is
Answer to Problem 24SP
Solution:
Explanation of Solution
Given data:
The area of the north wall is
The area of the east wall is
The area of the floor is
The Earth’s magnetic field is
The direction of the Earth’s magnetic field is
Understand that
Formula used:
The expression for flux in terms of magnetic field and area is expressed as
Here,
Write the expression for the area of a rectangle:
Here,
Explanation:
Sketch the approximate diagram of the Earth’s magnetic field and the north wall:
In figure (1),
Recall the expression of flux through the north wall:
Here,
Substitute
The Earth’s magnetic field is directed
Substitute
Hence, the total flux that passes through the north wall is
Sketch the approximate diagram of the Earth’s magnetic field and the east wall:
Recall the expression of flux through the east wall:
Here,
Substitute
The Earth’s magnetic field is directed
Substitute
Hence, the total flux that passes through the east wall is
Sketch the approximate diagram of the Earth’s magnetic field and the floor:
Recall the expression of flux through the floor:
Here,
Understand that the flux through the floor would be vertical component passes through the floor only. Hence, the angle is
Substitute
Hence, the total flux that passes through the floor is
Conclusion:
Therefore, the total flux that passes through the north wall is
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Chapter 32 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)