Current only inside of the Amperian loop contributes in:

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Finding a magnetic field at any point on the Amperian loop.

Line integral of Magnetic field

In both of the above

In neither of them

answer is B.

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Detailed Solution

Concept: For a clearer understanding, please see the figure below.
Question Image

In the figure above, the current I flows through a conductor of radius R, and the ampere loop of radius r is seen through a virtual loop perpendicular to the plane of

I

.
Explanation: We can consider if there is a current distribution of

I_{1}

, then the magnetic field around the distribution can be obtained by applying the ampere law by taking the symmetrical ampere loop around the

I_{1}

distribution.

I_{1}

net magnetic at a point on the ampere loop around

I_{1}

is the result of both the effects of

I_{1}

and

I_{2}

.
Therefore, the current in the ampere loop alone cannot find the magnetic field at any point in the ampere loop. Therefore, option (1) is incorrect. Looking at option (2) , it is the definition of Ampere's law. H. Only the current in the ampere loop contributes to the line integral of the magnetic field.
The relationship of Ampere's law can be expressed as follows.