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Magnitude of magnetic field due to a long, straight wire (19-9)

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Question

Distance from the wire to the location where the field is measured

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Review

Equation 19-9 and the field properties shown in Figure 19-17 are strictly correct only if the wire is infinitely long. But they are very good approximations if the distance r is small compared to the length of the wire.

The constant μ0 in Equation 19-9, called the permeability of free space for historic reasons, plays a role in magnetism that’s comparable to the role of the constant ϵ0, the permittivity of free space, in electricity (see Section 16-6). Its value is exactly μ0=4π×107 Tm/A.