The closed line integrals around the five Ampèrian loops.
Answer to Problem 67PQ
The closed line integral around the loop
Explanation of Solution
Write the expression for the closed line integral around the Amperian loop as.
Here,
Write the expression for the net current through the loop
Here,
Write the expression for the net current through the loop
Here,
Write the expression for the net current through the loop
Here,
Write the expression for the net current through the loop
Here,
Write the expression for the net current through the loop
Here,
Conclusion:
For loop
Substitute
Substitute
The negative sign is because the net current is directed outward the plane.
For loop
Substitute
Substitute
For loop
Substitute
Substitute
For loop
Substitute
For loop
Substitute
Substitute
Thus, the closed line integral around the loop
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Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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