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# lecture23 - Amperes Law etc Text 30.3 30.6 Amperes Law...

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Ampere’s Law, etc. Text 30.3 - 30.6 •Ampere’s Law examples •Magnetic Flux and Gauss’s Law for magnetism Practice: Chapter 30, problems 31, 49, 51, 64. Ampère’s Law encircled o I µ = ds B Review quiz: The integral in Ampere’s Law must be taken A) over any closed surface B) along a current-carrying wire in any closed circuit C) along any current-carrying wire D) along any closed curve

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Calculating B from Ampere’s Law For a few simple shapes, we can calculate the field B easily from Ampere’s Law. The steps: i) use symmetry to deduce the general behaviour ii) pick a closed curve on which to apply Ampere’s Law, taking advantage of the symmetry iii) Calculate (in terms of | B |) iv) Calculate I encircled v) Apply Ampere’s Law to get B ds B Thin Sheet of Current Thin Sheet of Current (e.g. in a strip of foil) field lines w w L b a d c
Apply Ampere’s Law to the rectangle abcda, and show that w I B 2 o µ = Limitations: this is valid for points not too far from the sheet,

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lecture23 - Amperes Law etc Text 30.3 30.6 Amperes Law...

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