First slide

Ampere's circuital law

Question

Rank the value of $\oint \vec{B} . \vec{dl}$ for the closed paths shown in figure from the smallest to largest.

Moderate

A

a, b, c, d
B

a, c, d, b
C

a, d, c, b
D

a, c, b, d

Solution

We shall use $\oint \vec{B} . \vec{dl} = μ_{0} I,$ where I is the net current enclosed by loop.
Net current enclosed by path a is zero.
Net current enclosed by path c is lA.
Net current enclosed by path d is 3A.
Net current enclosed by path b is 5A.

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