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UHSHDWHGVRWKDWWKHVWXGHQWV REWDLQWZRYROWDJHV 91 \ DQG 92 \ )RUWKH]GLUHFWLRQWKH SUREHLVRULHQWHGVRWKDWWKH GRZHOLVYHUWLFDOVRWKDWWKH +DOOHIIHFWGHYLFHJOXHGWRLWV HQGLVKRUL]RQWDO7KHVSLULWOHYHOLVDJDLQXVHGWRDOLJQWKHSUREHDQGWZRUHDGLQJV 91] DQG 92 ] DUHWDNHQ &RS\ULJKWE\&ROOHJH(QWUDQFH([DPLQDWLRQ%RDUG$OOULJKWVUHVHUYHG $YDLODEOHDWDSFHQWUDOFROOHJHERDUGFRP AP PHYSICS LAB GUIDE LAB TEN The analysis of the data is simple. If the sensitivity of the gaussmeter is 50mV/µT, then the fields in the three directions are given by Bx = (V1x − V2 x ) ( 50 mV mT ) ( ) (10-5a) B y = V1 y − V2 y ( 50 mV mT ) (10-5b) Bz = (V1z − V2 z ) ( 50 mV mT ) (10-5c) The magnitude of the Earth’s magnetic field BEarth is then given by ( BEarth = Bx2 + By2 + Bz2 ) 12 The dip angle B of the field is given by B = tan −1 é Bz ëê ( Bx2 + By2 ) 1 2ù ûú Copyright 2003 by College Entrance Examination Board. All rights reserved. Available at apcentral.collegeboard.com 51 $33+<6,&6/$%*8,'( /$%(/(9(1 /$%(/(9(1 *HRPHWULFDO2SWLFV 'HWHUPLQLQJWKH,QGH[RI5HIUDFWLRQ ,QWURGXFWLRQ 7KHUHDUHPDQ\ZD\VWRLOOXVWUDWH6QHOO¶VODZLQWKHFODVVURRPDQGDODUJHQXPEHURI ODERUDWRU\H[HUFLVHVFDQEHXVHGWRGHWHUPLQHWKHLQGH[RIUHIUDFWLRQ+HUHZHSUHVHQWRQH PHWKRGLQZKLFKWKHVWXGHQWVH[SORUHWKHXVHRIVLPSOHJHRPHWU\DQG6QHOO¶V/DZLQRUGHUWR GHWHUPLQHWKHLQGH[RIUHIUDFWLRQRIDUHFWDQJXODUVODE 6QHOO¶V/DZVHHPVVLPSOHDVLWLVSUHVHQWHGLQPRVWWH[WERRNV&RQVLGHUDEHDPRIOLJKW WUDYHOLQJLQDPHGLXPWKDWKDVDQLQGH[RIUHIUDFWLRQ Q1 VWULNLQJDERXQGDU\DWDQDQJOHRI LQFLGHQFH DVLQ)LJXUH,IWKHVHFRQGPDWHULDOKDVDQLQGH[RIUHIUDFWLRQ Q2 WKHEHDPRI OLJKWOHDYHVWKHERXQGDU\DWDQDQJOHRIUHIUDFWLRQ ZKHUH LVJLYHQE\(TXDWLRQ Q1 sin a = Q2 sin b ,WLVXVHIXOWRPHQWLRQWRVWXGHQWVWKDWWKLVHTXDWLRQPD\EHGHULYHGE\DSSO\LQJWKHFRQGLWLRQ WKDWOLJKWWUDYHOVLQWKHVKRUWHVWWLPHIURPSRLQW$ LQPHGLXPWRSRLQW%LQPHGLXP:KLOHWKH DSSOLFDWLRQRIFDOFXOXVQHFHVVDU\WRFDUU\RXWWKH SURRIRIWKLVLVEH\RQGWKHUHTXLUHPHQWVRIWKH 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