Question

In Ampere's ∮→B·d→l=μ0i, the current outside the curve is not included on the right hand side. Does it mean that the magnetic field B calculated by using Ampere's law, gives the contribution of only the currents crossing the area bounded by the curve?

Answer 1

Using Ampere’s law, the magnetic field B calculated provides the contribution of the current passing the region locked by the curve.

Explanation:

• According to the Ampere's law $\phi_{B} \rightarrow_{d} l_{-} \rightarrow=\mu o i \oint_{B} \rightarrow . d l \rightarrow=\mu o i$
• where i is the total current passing the bounded area by the locked arc, which is bounded curve. On the left-hand side, the magnetic field B is the resultant field because of all the prevailing currents.