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Solved Problems for Assignment 9 - Electromagnetism | PHYS 323, Assignments of Electromagnetism and Electromagnetic Fields Theory

University of Washington (UW) - SeattleElectromagnetism and Electromagnetic Fields Theory

Material Type: Assignment; Class: ELECTROMAGNETISM; Subject: Physics; University: University of Washington - Seattle; Term: Spring 2007;

Typology: Assignments

Pre 2010

Uploaded on 03/18/2009

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  • 323 Homework set 9, Spring
323 Homework set 9, Spring 2007 Problem 12.17 OO a8 + ab! + ab? + a°6* = —7*(a° — Ba) (O° — fb!) + 77(a' - Ba") (b! — Ba") + 076? + ab? = -7 (eh - Bet - Bet? +67a'b — ath + ght? + Beh = #a®b?) + 7h? + 03h? = -7708"(1 ~ 6?) + yal bl (1 — 67) + a8? + ab = ab? +a'b! +07? 4 a%b', ged [Notes 7°(1 - 6") = 1] Problem 12,18 of 1 0 0 DO) fet (a) ; = f en 5 | | (using the notation of Bq, 12.24, for best compatison). i 0 00 1/ \z + Oo -78 0 o 1 0 0 b)| A= A=) yg 0 7 0 ooo 1 45 0 -48 0 y+ -y a 0 - ieee p—-) SO. 1 DO OLl-y8 + OO (c) Multiply the matrices: A = 5p 0 F 0 0 010 0 0 Oo 1 0 oo O11 the order does matter. In the other order, “bars” and “no-bars” would be switched, and this would give a different matriz. Problem 12.24 (a) (2-3)? = wi (1+ B) = 0? 1 =. Vien] 1 = 1 = = . = = = (b) View/e? fistann?e — feosh? ¢—sinh? @ = cosh dy y= Vaya = cosh # etanh@ a Problem 12.26 (1 =u /e2) —w =-WP +7 =a aera -? +u)= ~? Gaye) Problem 12.27 (a) From Prob. 11.31 we have + = ive FOR. vrs fide = ’ Sate = 2 Infect + VE OT) + by at t=O we want 7 =O: 0= !inb+k, sok = ~!iInk, r= Ein[} =(et + y/b? + ct?) (b) Vat =P er = belts FF = bet? = x, ot =? = BPeter/) = Dabo /h 2?; Qrber/ = BL + ePeF/P); ea b(stee") @ [peosh(er/é), | Also from Prob. 11.31: v= ct/VP Ee. vs ive "= poder [\? cosh2(er fo) — oF = cM RRTECPI= gaianter/np = tanh (=). 0,0). (©) nH = le.,0,0);-7= f = cosh ff, 60 n# = cosh F (o,ctanh 0,0) =|e (cosh = vsinh