When is Ampère’s Law valid? Evaluate all of the following statements, and explain your reasoning. a. When there is a high degree of symmetry b. When there is no symmetry. c. When the current is constant. d. When the magnetic field is constant. e. In all of the above situations if the current is continuous.

Check Explanation

Explanation:

Ampere's Law gives the expression for the magnetic field produced by current in a current carrying material.

Mathematically, it is explained that the product of permeability and current is equal to the sum of the dot product of the magnetic field in the direction of the length elements and the length elements.

μ₀I = ∫ B.dl (note that this integral is around the entire loop of current carrying material)

This law is valid for infinite current carrying wires because the magnetic field around such infinite current carrying wire is symmetrical.

The magnetic field around a finite length of wire is non-symmetrical and the current isn't continuous.

For Ampere's Law to work, the magnetic field around the wire must be symmetric, for straightforward computation and the current in the wire needs to be continuous, not cut short at the edges which makes the field around the wire non-symmetrical.

So, this condition is interlinked.

Hence, it is evident that only option A is absolutely correct.

Options C and D on their own aren't totally correct, but in conjunction with option E, they are correct.

Hope this Helps!!!

no. dot product   =0 when vecs at right angles