The net current through the loop that must be present.
Answer to Problem 58PQ
The net current through the loop that must be present is
Explanation of Solution
Write the expression for the Ampere circuital law as.
Rearrange the above equation for
Here,
The contribution to the circulation integral due to each segment of loop is.
The two segments of the square loop are parallel to the magnetic field. Therefore, the contribution to circulation integral due to these two segments is zero.
Write the expression for the total contribution to the circulation integral as.
Here,
Conclusion:
The length of the segment in the X-direction is
Substitute
Substitute
The length of the segment in the Y-direction is
Substitute
Substitute
Substitute
Substitute
Thus, the net current through the loop that must be present is
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Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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