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t4formV2spr2010 - Physics 1112 Spring 2009 University of...

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Physics 1112 Spring 2009 University of Georgia Instructor: HBSch¨uttler Additional Formula Sheet for Final Exam Reading and thoroughly familiarizing yourself with this formula sheet is an important part of, but it is not a substitute for, proper exam preparation. The latter requires, among other things, that you have re-worked all assigned homework problem sets (PS) and the in-class quizzes, studied the posted PS solutions, and worked and studied the assigned conceptual practice (CP) problems, as well as (optionally) some practice test (PT) problems, as posted on the LON-CAPA homework and on the PHYS1112 examples and homework web pages. You should consult the syllabus, and in particular review the Class Schedule on the last syllabus page (posted on the PYS1112 course web site), to find out which topics you should cover in preparing for this exam. Induction (1) Definition of Magnetic Flux : For a flat surface S with area vector A normal to the surface and finite surface area A ≡ | A | , subjected to a uniform magnetic field B , with angle θ ( A, B ) enclosed between A and B , the magnetic flux through S is defined as: Φ m AB cos( θ ) . For surfaces S which are not flat and/or magnetic fields B which are not uniform across S , Φ m must be calculated by: (1) breaking up S into smaller, (approximately) flat pieces, with B being (appproximately) uniform across each such surface piece; and by then: (2) adding up the flux contributions from all these surface pieces. (2) Faraday’s Law : Induced voltage (EMF) E in a tightly wound conducting coil of N identical turns, with each turn enclosing the same time-dependent magnetic flux Φ m ( t ): E = - N ΔΦ m Δ t Sign Convention. A positive EMF, E > 0, drives an induced current around the coil (or would do so if the open ends of the coil were connected into a closed circuit) in right-hand (RH) direction around the A -vector that was used to define the flux Φ m ( t ). A negative EMF, E < 0, drives an induced current around the coil against RH direction around the A -vector. (The RH direction around A is the direction of the RH 4 fingers when the RH thumb points in A -direction.)
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