Ampere’s Law

Section 11.8 Ampere’s Law

Definition 11.8.1. Ampere’s Law.

Ampere’s Law relates the net magnetic field around a closed curve to the current passing through the region bounded by the curve:

◯ \int_{S} \vec{B} \cdot d \vec{s} = μ_{o} I_{e n c l o s e d}

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Exercises Activities

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Shown below are three different cases, each with two identical current-carrying wires and a circular Amperian loop. In which case is the net magnetic field around the loop the largest?

Three boxes sit side by side. The lefthand box is case A, where one wire sits inside a closed Amperian loop and another wire sits outside the loop. The middle box shows case B, where both wires sit outside the loop. The righthand box shows case C where both wires sit inside the loop. — Figure 11.8.2. Three cases are shown depicting an Amperian loop (dashed line) and different wires.

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