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lesson_8_-_Ampere's_Law

# lesson_8_-_Ampere's_Law - EE3321 Electromagnetic Field...

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EE3321 Electromagnetic Field Theory Lesson 8 1. Ampere's Law This law relates the magnetic field B to its source, the current density J . The equation is correct in the special case where the electric field is constant (i.e. unchanging) in time. The law can be written in two forms, the "integral form" and the "differential form". The forms are equivalent, and related by the Kelvin-Stokes theorem. Integral form The integral form of the original Ampere's circuital law is: or equivalently, where I enc is the net current through the surface S . Notice that the double integral is evaluated over the surface S enclosed by the closed curve C . The line integral is evaluated around the closed curve C . The direction of the line differential and the direction of the surface differential are resolved using the right-hand rule: when the index-finger of the right-hand points along the direction of line integration, the outstretched thumb points in the direction that must be chosen for the vector area d S , and current passing in that same direction must be

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lesson_8_-_Ampere's_Law - EE3321 Electromagnetic Field...

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