The Biot-Savart law gives the magnetic field due to a very short segment of current I: dễ = I dsxf 4т p2 where ds is a vector that points in the direction of the current with magnitude equal to the length of the small segment and r is the vector from the small current segment to the point P where you want to find the magnetic field. Let 7 = -2.5 m j and ds = (-0.04 î – 0.03 j) m and I = 4A What is the magnetic field dB at point P due to just the small wire segment ? (The Biot-Savart law holds only if the segment ds is infinitetessimally small but should be a good approximation here since ds < r). ds +y +x +z (out)

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The Biot-Savart law gives the magnetic field due to a very short segment of current I:
Ho I dsxî
p2
dB =
where ds is a vector that points in the direction of the current with magnitude equal to the length of the small
segment and r is the vector from the small current segment to the point P where you want to find the
-2.5 m j and ds = (-0.04 i – 0.03 j) m and I = 4A What is the magnetic field dB at
point P due to just the small wire segment ? (The Biot-Savart law holds only if the segment ds is infinitetessimally
small but should be a good approximation here since ds < r).
ds
I
+y
P
+x
+z (out)
Transcribed Image Text:The Biot-Savart law gives the magnetic field due to a very short segment of current I: Ho I dsxî p2 dB = where ds is a vector that points in the direction of the current with magnitude equal to the length of the small segment and r is the vector from the small current segment to the point P where you want to find the -2.5 m j and ds = (-0.04 i – 0.03 j) m and I = 4A What is the magnetic field dB at point P due to just the small wire segment ? (The Biot-Savart law holds only if the segment ds is infinitetessimally small but should be a good approximation here since ds < r). ds I +y P +x +z (out)
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