Magnetism 10  Gauss's Law (Magnetism Flavor) 
════════════════════ M/c O' the Day: Today's Safari Guide is: Ian! Released Exam Problem ════════════════════ OPENING QUESTION: Starting with Ampere's Law, please derive an equation that shows the B field at some distance away from a solenoid with n coils.
OBJECTIVES: I will be able to derive an expression relating B field strength to the number of coils in a solenoid during today's class. I will be able to use Gauss's Law in Magnetism to <> during today's class WORDS/FORMULAE FOR TODAY TERMS
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WORK O' THE DAY:
════════════════════ Here be Ampere's Law: B∮ds = μ_{o}I What is the significance of the ∮integral? How have we used that so far? ════════════════════
Answers: The ∮integral requires use to move around an enclosed area. Up until now we've been talking about a long straight wire. What better shape to use to enclose such a beastie than a ring of radius "r"... that works very, very nicely. But... what if the area we were interested in enclosing was a rectangle(???), would that still work? Let's try: Consider the following sitchation A long straight wire is shown some distance away from a rectangular loop of wire as shown: Work with your group to come up with a strategy as indicated... Annotate your steps DO NOT PEEK until you have a strategy to begin, then *carefully* peek if you need additional hints... ════════════════════ COURSEWORK: 30.47 & 30.48 begining on page 930
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