Qstnid -I-4-in Ampere’s ∮B→·dl→=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? - 35: Magnetic Field Due To A Current

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#4
In Ampere’s
∮B→·dl→=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?
Ans : In Ampere's law `` \oint \stackrel{\to }{B}.\stackrel{\to }{dl}={\,\mathrm{\,\mu \,}}_{\,\mathrm{\,o\,}}i``, i is the total current crossing the area bounded by the closed curve. The magnetic field B on the left-hand side is the resultant field due to all existing currents.
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