The Biot-Savart law gives the magnetic field due to a very short segment of current I: dB 4 Ho I dsxî p2 where ds is a vector that points in the direction of the current with magnitude equal to the length of the smal 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 ĵ and dš = (–0.04 î – 0.03 î) 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

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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)
2.56x10-9 Tk
O -1.28x10-9 TK
O 1.92x109 T Â
O -3.20x10-9 T k
-2.56x10-9 T k
O -1.92x10-9 TK
Transcribed Image Text:2.56x10-9 Tk O -1.28x10-9 TK O 1.92x109 T Â O -3.20x10-9 T k -2.56x10-9 T k O -1.92x10-9 TK
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