ELE345_Quiz_1_Solutions.pdf - 1*“4 WQ $OLAA'HONS(ME £39...

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Unformatted text preview: 1*“4- WQ $OLAA'HONS (ME £39 =3LFAQ+DCKE W 53? A1 = 36 ail—+16), 5; C. s 3% Gum‘s bows Sm Suhwka MA MMAM" V "Snags? m £33 EgSfév -—\ S V '7 Q>kF,Q-;o e“ §E 43:0 S Cambiwk) Zen“ v 3L1®+E£Fn0 =0 ELE—345 QUIZ #1 Fall 2013 NAME: mg.— STUDENT ID: m— SECTIOM _— Q3. [%25] A uniform plane wave propagates in a medium defined by y = ,uHuO, a = 3,80 , and ,u, = 4s, The electric field of the wave is given as: E (x, t) = 2407: Cos (37m 1091‘ — 407m) [12 V/m (a) [%2.5] What is the direction of propagation for this wave? Answer + X (b) [%2.5] Find the frequency (f) of the wave. [_ 31mm9 3 LS‘ an: Answer "' (c) [%2.5] Calculate the phase velocity of the wave. Answer erg-11 ”(=8 Answer ‘1: J? a. a 1‘0“. (e) [%2.5] What is the wavelength of this wave? 1 .. __L_ 5‘0» . Answerka (0 [%2.5] Write the electric field phasor expression. .. , -wrx ‘E' ._-. “(mm c." Answer (g) [%5] Find the magnetic field phasor expression for this wave. CL 1-" MIX H . -3, 51" Answer (h) [%2.5] Find the magnetic field expression for this wave in time domain. Answer iii-(X10 = 42 C05 (3N3b’i‘ 1901‘“) Q‘. [25] The square loop shown in Figure 1 has side lengths of a=40 mm, and b=10 mm . The loop rotates with angular velocity a)1 = 7:103 rad/s towards the positive 2 axis as shown, so that the y axis is the axis of rotation. Assume that the loop area is parallel to x-y plane at t=0. The loop is under the effect of a magnetic flux density in -z direction, and its expression is given as B = 4x10“3 sin(7r103t) Wb/mz. The magnetic field exists only for 1 msec, i.e. for 0 s t S 10'3 sec. Find v according to the polarity shown, and plot it. 4;:‘37-3' ¢=¢oln"$in(|o‘1rl)'5"“ FIGURE 1 “1:“: “3+ =5) V=(|61|’xlo"‘) CM (1.1?- lflg‘i') {206' 0“: 5 [0.3: v (NI) ...
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