Figure (a) shows an element of length d, = 1.00 µm in a very long straight wire carrying current. The current in that element sets up a differential magnetic field dB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 2.7 cm from the element, as a function of angle e between the wire and a straight line to the point. The vertical scale is set by dB; = 61.1 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 2.7 cm from the wire?

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Figure (a) shows an element of length d; = 1.00 µm in a very long straight wire carrying current. The current in that element sets up a
differential magnetic field dB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 2.7 cm from
the element, as a function of angle 0 between the wire and a straight line to the point. The vertical scale is set by dB; = 61.1 pT. What is
the magnitude of the magnetic field set up by the entire wire at perpendicular distance 2.7 cm from the wire?
ds
Wire
(a)
dB,
n/2
е (rad)
(b)
Number
i
Units
dB (pT')
Transcribed Image Text:Figure (a) shows an element of length d; = 1.00 µm in a very long straight wire carrying current. The current in that element sets up a differential magnetic field dB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 2.7 cm from the element, as a function of angle 0 between the wire and a straight line to the point. The vertical scale is set by dB; = 61.1 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 2.7 cm from the wire? ds Wire (a) dB, n/2 е (rad) (b) Number i Units dB (pT')
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