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Example: calculate the magnetic field at point P due to a thin straight wire of length L carrying a current I. (P is on the perpendicular bisector of the.

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Presentation on theme: "Example: calculate the magnetic field at point P due to a thin straight wire of length L carrying a current I. (P is on the perpendicular bisector of the."— Presentation transcript:

1 Example: calculate the magnetic field at point P due to a thin straight wire of length L carrying a current I. (P is on the perpendicular bisector of the wire at distance a.) y P dB r a x z ds I x L ds is an infinitesimal quantity in the direction of dx, so

2 y P dB r a x z ds I x L

3 y P dB r a look integral up in tables, use the web,or use trig substitutions x z ds I x L

4 y P dB r a x z ds I x

5 Solution beginning with vector notation

6

7

8 y P  dB r a  x  z ds I x When L, or
The r in this equation has a different meaning than the r in the diagram!


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