Notes

Ampere’s Circuital Law …

Ampere’s Circuital Law is:
Let an open surface S be bounded by a loop C. Then the Ampere’s law states that
$$\oint \begin{array}{ccc}{}_{\to }{}^{}& & {}_{\to }{}^{}\\ B& .\mathrm{dt}& =& {\mu }_0{I}_{\mathrm{e}}\end{array}$$
Where I refers to the current passing through S. The sign of I is determined from the right-hand rule. We have discussed a simplified from of this law. If is directed along the tangent to every point on the perimeter L of a closed curve and is constant in magnitude along perimeter then,
BL = µ₀I_e
Where I_e is the net current enclosed by the closed circuit.