The formula to calculate the magnetic field using Ampere's Law is:
\[ B = \frac{\mu_0 I}{2 \pi r} \]
Where:
Ampere's Law is a fundamental principle in electromagnetism that relates the circulating magnetic field in a closed loop to the electric current passing through the loop. Named after its discoverer, French physicist André-Marie Ampère, the law states that the integral of the magnetic field around a closed loop is equal to the product of the permeability of free space and the current enclosed by the loop. This law is used in the study of electric circuits, magnetic fields, and is one of Maxwell's four equations which form the basis of classical electrodynamics.
Let's consider an example:
Using the formula to calculate the magnetic field:
\[ B = \frac{(4\pi \times 10^{-7}) \times 5}{2 \pi \times 0.1} = 10^{-5} \text{ Tesla} \]
This means that the magnetic field for this scenario is \(10^{-5}\) Tesla.
