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Chapter 9 Magnetic Fields:II

Chapter 9 Magnetic Fields:II. Ampere ’ s Circuital Law Example:Long Cylindrical Conductor Example:Toroidal Coil Example:Refraction of Lines of B at a Current Sheet Short Solenoid The Curl of B. In many cases the same current crosses the surface bounded by the curve C several times.

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Chapter 9 Magnetic Fields:II

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  1. Chapter 9 Magnetic Fields:II • Ampere’s Circuital Law • Example:Long Cylindrical Conductor • Example:Toroidal Coil • Example:Refraction of Lines of B at a Current Sheet • Short Solenoid • The Curl of B

  2. In many cases the same current crosses the surface bounded by the curve C several times. See Fig. 9-2(b) for a solenoid. Then the total current is I×N.

  3. Example: Long Solonoid (see Figs. 9-6 and 9-7） It is very long so that the end effects will negligible. Choose a cylindrical coordinates.

  4. Example: Refraction of Lines of B at a Current Sheet A thin conducting sheet carries a current density α(ampere / meter). (See Fig.9-8)

  5. Example: Short Solonoid See Fig. 9-9 The solonoid has a length l and radius a.

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