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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 erg11 ”(=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 xy 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;:‘373'
¢=¢oln"$in(o‘1rl)'5"“ FIGURE 1
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 Fall '16
 Feza Arıkan
 Frequency, 3%, Euclidean geometry

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