Midterm2-solution

Midterm2-solution - EE355 Midterm Exam II Spring 2010 ‘...

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Unformatted text preview: EE355 Midterm Exam II Spring 2010 ‘ Close book, Close notes, 2 Cheat sheets 90 [wtfm Total Dims ’5’ 25 o» 1. A Electric field E and magnetic field B: (B0 )(4éx + 2&1, — (33) exist at a point. A test charge q has velocity v= v0 (fix — 2(3), + 3652) . The force exerted on thetest charge is zero. Find the expression for electric field E. Bpts) Lorentz F0701 Phi—Sr 7” 3 “'3' (3W9 ~—\ A «A 2. Application of Ampere’s circuital law in integral form. A current density due to flow of charges is given by J= -(xax+yay+zzaz) A/mz. Given]? 2 0 , find the displacement current emanating fiom w the following closed Surface: The surface of cylindn'cal box bounded by the surfaces p=1, z=0, and F2. (15pts) (You need to show how you obtain the answer to get the filll credits) 7 I - - g .A = l_,, ..—\ r-‘K @flgpQW Cum/W If» i 7.; fiwm = —— 33.43 (33' "if: ~— cxé‘fifi] + 225;) Ma’- xziorach, yzpomqé, gz-g. (aw) a w 45 4 —« mp3 f " (63 P E (7‘ A = ‘ A 4 [egg/raj, 94¢ ala-+ 01356 a}; (2/70 (“My 9 + 220(5) _ = f I; Z-‘P/zzz also/75 (1‘79 ,5: 42%:0040 «M WM) (4 A A _ ‘2 J: #— Ccdséaf ‘- u—urA—wms. 3. Finding B using Maxwell’s law in differential form. For the following electric fields, find B that satisfies Maxwell’s equation in differential form; E 2 E063), cos[37r x 1081‘ + 27r(4x + 32)] (12pm) A . 3—9 ~— «WK? (3W) /\ 325 A A ’__ ax a; J 3% 1987 5%.: (riffs) 0 EJOWZ) 0 A /\ 1 2E1 _. (9E)! A—Jr 0w ax : ax go 5/191)?!“ CM >009:Z 1- 27:.(4X-r32fl “a; Ea 810-1) 9m [BKXmgI‘ + 2A(¢X+32)J . A A 1-. EGG”: a; " 5K ax) 5‘1‘AE37xxro f+27§f4x+32fl "A '4 W0 3" 33% W9) Tilfgi’jififiwa ; ‘ am va/Wfiémpce r’wn A7 A C/lofleCD‘ : E0 ( 8K5? ’67\@X)fg:‘nC3/:Xm 9% +27?(4X+32)]apf§ ~ E cm? 29’3 ' 0 AX A 5>fflf3flfi10g%+27k(¢xf323 3]; X108] +(‘oflS‘W a 6’63 {3K m 9% +27: W823 ; _ a 4 ".3 E ax”g-ag) ' 37mg ...
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This note was uploaded on 08/13/2010 for the course EE EE 335 taught by Professor Xaio during the Spring '10 term at Cal Poly.

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Midterm2-solution - EE355 Midterm Exam II Spring 2010 ‘...

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