Abstract
In introductory texts Ampere's law is generally introduced in the steady-current form ∮B·dℓ=μ0I, and it is later extended to a more general form1–4 involving the socalled displacement current Id, ∮B·dℓ=μ0(I+Id).(1) Here the line integral is to be taken along a closed Amperian loop, and I is the net conventional current that penetrates any surface bounded by the loop. In its steady-current form (without Id), Ampere's law is used to find the magnetic field generated by highly symmetric arrangements of current-carrying wires, for example, an infinite straight line of current or an infinite solenoid, in analogy with Gauss's law.
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