The diagram below shows an infinitely long straight wire with a current I that is directed in the +x direction. The ultimate goal of this problem is to use the Biot Savart Law to derive the magnetic field by the wire at point P which is a distance d from the wire. P +y I ds, 1 dB 1₂ - [H-1² 4T +z ds 2 The Biot Savart Law gives an expression of the magnetic field by a infinitesimal segment of the wire. Hods x f p2 +x Notice that the direction of the field corresponding to a current segment (dB) is given by the direction of the cross product ds x î.

The diagram below shows an infinitely long straight wire with a current I that is directed in the +x direction. The ultimate goal of this problem is to use the Biot Savart Law to derive the magnetic field by the wire at point P which is a distance d from the wire. P +y I ds, 1 dB 1₂ - [H-1² 4T +z ds 2 The Biot Savart Law gives an expression of the magnetic field by a infinitesimal segment of the wire. Hods x f p2 +x Notice that the direction of the field corresponding to a current segment (dB) is given by the direction of the cross product ds x î.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

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The diagram below shows an infinitely long straight wire with a current I that is directed in the +x
direction. The ultimate goal of this problem is to use the Biot Savart Law to derive the magnetic field by
the wire at point P which is a distance d from the wire.
P
+y
I
ds,
1
dB
1₂
- [H-1²
4T
+z
ds 2
The Biot Savart Law gives an expression of the magnetic field by a infinitesimal segment of the wire.
Hods x f
p2
+x
Notice that the direction of the field corresponding to a current segment (dB) is given by the direction of
the cross product ds x î.

I
B =
-S
B =
-S
=
dB
P
B
S=0
2. Write an expression for the integral in terms of I, and r as well as the constant po.
-S
-S
dB
S
<--- the upper limit
r
<--- the lower limit
Φ
3. Write an expression for the integral in terms of I, s and d as well as the constant po. In addition,
indicate the limits of integration.
ds
+z
Ө
ds
ds
+y
+x
4. Evaluate the integral you wrote in the previous step to write an expression for the magnetic field
in terms of I and d as well as the contant o.

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