189k views
4 votes
In Ampere's law, ∮????⃗∙????????⃗=????0???? the direction of the integration around the path:

A) must be clockwise
B) must be counterclockwise
C) must be such as to follow the magnetic field lines
D) must be along the wire in the direction of the current
E) none of the above

User Stolsvik
by
3.1k points

2 Answers

1 vote

Final answer:

The correct answer is E) none of the above, as Ampère's law does not require a specific direction for the integration path; the path is chosen based on the symmetry of the problem to simplify calculations.

Step-by-step explanation:

The question pertains to the use of Ampère's law in physics, specifically in the context of electromagnetism. Ampère's law states that the line integral of the magnetic field (ᵉƶ) around a closed path is proportional to the electric current (ᵉ) passing through any surface bounded by that path. Hence, the direction of the integration does not have a defined clockwise or counterclockwise requirement; instead, the path must be chosen to make the calculation of the integral straightforward. For instance, when considering the magnetic field around a long straight wire, it is often convenient to choose a circular path because the magnetic field is constant in magnitude and tangent to the circle at every point, simplifying the integration.

In this specific question, the correct answer is E) none of the above, because the direction of the integration path is not restricted to being clockwise or counterclockwise and does not need to follow magnetic field lines nor be along the wire in the direction of the current. The direction is often chosen based on the symmetry of the problem to simplify the calculation.

User Floqqi
by
3.8k points
3 votes

Answer:

C) must be such as to follow the magnetic field lines.

Step-by-step explanation:

Ampere's circuital law helps us to calculate magnetic field due to a current carrying conductor. Magnetic field due to a current forms closed loop around the current . If a net current of value I creates a magnetic field B around it , the line integral of magnetic field around a closed path becomes equal to μ₀ times the net current . It is Ampere's circuital law . There may be more than one current passing through the area enclosed by closed curve . In that case we will take net current by adding or subtracting them according to their direction.

It is expressed as follows

∫ B.dl = μ₀ I . Here integration is carried over closed path . It may not be circular in shape. The limit of this integration must follow magnetic field lines.

the term ∫ B.dl is called line integral of magnetic field.

User Alim
by
3.3k points