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ds is an infinitesimal quantity in the direction of dx, so

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.

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ds is an infinitesimal quantity in the direction of dx, so

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  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 look integral up in tables, use the web,or use trig substitutions a  x  z ds I x L

  4. y P dB  r a  x  z ds I x

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

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