Question

Only the current inside the amperian loop contributes in

• A. Finding magnetic field at any point on the Ampere’s loop
• B. Line integral of magnetic field
• C. In both of the above
• D. In neither of them

Answer 1

The correct option is B

Line integral of magnetic field

Amperian loop:

Explanation for the correct answer:

In case of option B.

1. It is a sort of imaginary closed loop around a current-carrying conductor through which ampere's law is applied to that conductor.
2. Ampere's law may be defined as the magnetic field created by an electric current is directly proportional to the size of that electric current with a constant of proportionality equal to the permeability of free space.
3. Mathematically, $\int B.dl={\mu }_0.I$, Where $\int B.dl$= line integral of $B$ around a closed path, ${\mu }_0$= permeability of free space, $I$= current.
4. If we look at option (B), then it is the definition of ampere's law i.e. only the current inside the ampere loop will contribute to the line integral of the magnetic field.
5. Thus, option B is the correct option.

Explanation for the incorrect answers:

In case of option A.

1. The magnetic field on the ampere loop is affected by all current distributions in the area.
2. As a result, simply the current within the ampere loop does not contribute to the discovery of a magnetic field at any point along the loop.
3. Thus, option A is incorrect.

In case of options C and D.

1. These are absurd options as option B is already correct.
2. Thus, options C and D are incorrect.

Thus, option B is the correct option.