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Correct question is;
To understand Ampère’s law and its application.
Ampère’s law is often written ∮B→ (r→) ⋅dl→ =μ0I^encl.
What physical property does the symbol I^encl represent?
a. The current along the path in the same direction as the magnetic field
b. The current in the path in the opposite direction from the magnetic field
c. The total current passing through the loop in either direction
d. The net current through the loop
Answer:
Option D
Explanation:
First of all, we are given that Ampère’s law is often written ∮B→ (r→) ⋅dl→ = μ0I^encl.
where;
- the integral on the left is a “path integral which is similar to how we calculate work done by a force over a path.
- The circle sign on the integral means that it's a closed path which is a path where the starting and end points are the same.
-Thus, I^encl is the enclosed current which is the net current that crosses the surface that is defined by the closed path.
Thus, looking at the options, the correct answer is option D which is that I^encl is the net current through the loop.
The physical property the symbol represents is the net current through the loop.
Ampere's law states that for any closed loop, the product of the magnetic field strength and the sum of the length elements is equal to the product of permeability and the electric current enclosed in the loop.
The law is written as;
[tex]\int\limits {B} \, dr = \mu_0 I_{encl}[/tex]
where;
- B is the magnetic field strength
- dr is the length elements
- [tex]\mu_0[/tex] is permeability of free space
- [tex]I_{encl}[/tex] is the net charge on the loop
Thus, we can conclude that the physical property the symbol represents is the net current through the loop.
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