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In Ampere's ∮ → B ⋅ d → l = μ 0 i , 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 - Physics

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प्रश्न

In Ampere's  \[\oint \vec{B}  \cdot d \vec{l}  =  \mu_0 i,\] 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?  

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उत्तर

In Ampere's law \[\oint \vec{B} . \vec{dl} = \mu_o i\] , 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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अध्याय 13: Magnetic Field due to a Current - Short Answers [पृष्ठ २४८]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 13 Magnetic Field due to a Current
Short Answers | Q 4 | पृष्ठ २४८

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