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State Ampere's circuital law, expressing...

State Ampere's circuital law, expressing it in integral form.

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The line integral of magnetic field (B) around any closed path in vacuum is u 0 times the net current (I) threading the area enclosed by the curve.
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(a) State Ampere's circuital law, expressing it in the integral form. (b) Two long coaxial inlsulated soenoids, S_(1) and S_(2) of equal lengths are would one over the other as shown in the figure. A steady current ''I'' flows through the inner solenoid S_(1) to the other end B, which is connected to the outer solenoid S_(2) through which the same current ''I'' flows in the opposite direction so as the come out at end A. If n_(1) and n_(2) are the number of turns per unit length, find the magnitude and direction of the net magnetic field at a point (i) inside on the axis and (ii) outside the combined system.

Ampere's circuital law is given by

Ampere's Law

Ampere's Law

Ampere's law