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EEE224_Fall09_Quiz2_solution

# EEE224_Fall09_Quiz2_solution - NAME tram/a REE-224 QUIZ...

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Unformatted text preview: NAME tram/a REE-224 QUIZ # 2 November 03, 2009 .“€‘\Q.l) Four point charges are located at the corners of a square 4cm on a side (Q20.8—nC). A ﬁfth \ charge is installed at the center of the square. ‘ (a) Find the electric ﬁeld intensity at the center due to the four charges at the corners. (b) Find the force (both magnitude and direction) experienced by the ﬁfth charge at the center. igli: Q 'L wi/UZ/Q K; (—19: 2Q (LIV; (Aﬁecﬁ 0 E:E1+EL+Q3+EL1 “:- 34? Z;& (55%; We)?" :éeglf'ﬂﬁ “W0 " § "‘ r" 97:80:21 ' «€2Q9‘1 ii _. d; Q L 215. (N) ‘ "' Li’ﬁébﬂ \\ Q2) The temperature in an auditorium is given by'T = 4x22 + +3 yz. A mosquito located at (1, 2, \“ﬂ 0) in the auditorium desires to ﬂy in such a direction that it will get warm as, soon as possible. In What direction must it ﬂy? (M‘s) , (41319) c toga“ zgajttymzjmtf : ea; ' (ﬂats) Q.3) Which of the following is a meaningless combination? 7 '9 KM: (a) grad of div (b) div of curl (c) curl of grad .curl of div (e) div of grad div 05“ ﬁSMﬂOlf‘ Cur“, of a similar \xQ\\QA) If a vector field (3 is solenoidal, which of these is true? (explain why) [5 ﬁr“? ﬁfe—\$5,; :1 ‘ 'dl‘i‘ﬂ -_ Curl 0 o v96” W" 1. 6:13 i :35 W I} l¥ Q is Solenot'daé', iii? id i5“ rthmQﬂh/l {avXQme t]@:O (d)?>{Q¢’€}i __ Srbaujuj eumaa dv ...
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