Concept explainers
(a)
The magnitude and direction of magnetic field at point A
.
(a)
Answer to Problem 30.15P
Explanation of Solution
Given Info: The current flowing through the conductor is
Explanation:
Diagram of three parallel conductor having current of magnitude
Figure (1)
Formula to calculate side of the square is,
Formula to calculate angle
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
(b)
magnitude and direction of magnetic field at point B
.
(b)
Answer to Problem 30.15P
Explanation of Solution
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
(c)
magnitude and direction of magnetic field at point C
.
(c)
Answer to Problem 30.15P
Explanation of Solution
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
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Chapter 30 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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