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MAGNETIC FIELD DUE TO MOVING CHARGES

MAGNETIC FIELD DUE TO MOVING CHARGES. Lecture No. 9 By: Sajid Hussain Qazi. Characteristics of Lines of Magnetic Flux.

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MAGNETIC FIELD DUE TO MOVING CHARGES

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  1. MAGNETIC FIELD DUE TO MOVING CHARGES Lecture No. 9 By: SajidHussainQazi

  2. Characteristics of Lines of Magnetic Flux • In spite of the fact that magnetic flux have no physical existence, they do form a very convenient and useful basis for explaining various magnetic effects and for calculating their magnitudes. • For this purpose, lines of magnetic flux are assumed to have following properties…..

  3. Characteristics of Lines of Magnetic Flux • Lines of magnetic flux at any point in a non-magnetic medium, such as air, is that of the north seeking pole of compass needle placed at that point. • Each line of magnetic flux forms a closed loop, as shown in figure. • Lines of flux never intersect each other.

  4. Characteristics of Lines of Magnetic Flux • Lines of magnetic flux are like stretched elastic cords, always trying to shorten themselves. This can be demonstrated by suspending two permanent magnets, A & B parallel to each other, with their poles arranged in figure below...

  5. Characteristics of Lines of Magnetic Flux • Line of magnetic flux which are parallel and in the same direction repel each other. This effect can be demonstrated by suspending two permanent magnets as shown in figure below….

  6. Biot-Savart Law • The Biot-Savart Law relates magnetic fields to the currents which are their sources. • In a similar manner, Coulomb's law relates electric fields to the point charges which are their sources. • Finding the magnetic field resulting from a current distribution involves the vector product, and is inherently a calculus problem when the distance from the current to the field point is continuously changing.

  7. Biot-Savart Law

  8. MAGNETIC FIELD DUE TO MOVING CHARGES • As stated in the text, a moving charge can be considered a current, if we interpret the distance ds to be a small segment of space through which the charge q flows.  In this case,

  9. MAGNETIC FIELD DUE TO MOVING CHARGES • Here, v is the speed of the charge. • Put this into the Biot-Savart law and integrate it for the dq.

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