Ampere's Circuital Law: Practice Problem & Solution
Consider six wires coming into or out of the page, all with the same current. Rank the line integral of the magnetic field (from most positive to most negative) taken counter-clockwise around eachloop shown.
Solution Explained:
To solve this problem, we apply the core principles of Ampere's Circuital Law. Understanding the underlying formula is key to arriving at the correct answer below:
Current enclosed in A = 3i -3i =0
Current enclosed in B = 2i-i=i
Current enclosed in C = - 2i + i= - i
Current enclosed in D= -i
so Correct order of integral of B.dl is B > A > C = D
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