EE 161 Midterm Soln

# EE 161 Midterm Soln - EEI 61 Spring 2006 Name Grade...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EEI 61 Spring 2006 Name: Grade: Problem #1 (25pts). The electric ﬁeld of a plane wave propagating in air has the following expression given by H(r) : J33 sin((ol + 3x + 42) . (l) (6 pts) ﬁnd the frequency of the wave. (2) (6 pts) find the angle between the propagation direction and the Z—axis. (3) (6 pts) write down the phasor expression of the magnetic ﬁeld. (4) (7 pts) ﬁnd the associated electric ﬁeld in phasor. to la = -3'x*4z , lib/E135 '~- 3— _ - Jami/5 w a 52%! A jraxHZ-E‘) " ~ jiﬁ #5) p; : 3 (f t {‘3])€ (‘3) E : -- )7? ,1; X; \ A A ‘ e‘gxwz) : ~577g(~~:::i: ’%3)X ﬂ { *5 )€J Probiem #2 (25 pts). A plane wave can propagate in the region conﬁned by two parallel conductor plates through bouncing between these two plates, as shown in the following figure. The middle region is air and the frequency of the wave is IMHZ. If the conductor is not perfect, a small portion of the electromagnetic power may be transmitted inside the conductor. (1) (Spts) If the conductivity is very large, what is the direction of the transmitted wave approximately? (2) (Spts) if the conductor is silver with conductivity <3=3x106 Sim, what is its skin depth? (3) (9pts) lfone wants to make sure the transmitted energ)r attenuates at least 40dB when it reaches to the outer boundary of the silver plate, what is the minimum thickness the plate has to have. Problem #3 (25 pts). A lGHz plane wave is normally incident in air onto the plane surface onto a dielectric coated inﬁnite perfect electric conductor (PEC) plate, as shown in the following ﬁgure. The thickness of the coating is d=2.5 cm, the dielectric property is a, = 9, p, = 1 . Assume the electric ﬁeld is right-hand circularly polarized. Please ﬁnd (1) (6 pts) the phasor expression of the incident ﬁeld. (2) (6 pts) the total complex reﬂection coefﬁcient at the reference plane 2:0. (3) (8 pts) the phasor expressiOn and the polarization state of the reﬂected wave. (4) (5 pts) the position of the ﬁrst maximum B ﬁeld observed in the air region. Problem #4 (25 points). In the oblique incidence case of a plane wave in air onto a lossless non-magnetic dielectric material, the dielectric constant is 8,2 = 9, (I) (8 pts) Find out the Brewster angle for the boundary. (2) (8 pts) If a left-hand circularly polarized wave incident at the Brewster angle to the boundary, what is the polarization state of the reﬂected wave? (3) (9 pts)Write down the phase expression of the reﬂected ﬁeld. \ﬁ Lidia/1t: a;th : bet/star agile :3 M ﬁllet??? ﬁt WM PM”: WWW =>E Y 5471421343 ii. mufﬂed ml? _:> E field} {5 my? m {i ﬁﬁéég‘m {5 Andre) =7 Pt’lflt’cteép amt/4’ 2’ hiked/4% polarized} ('3) E}, : lgEYe“er'l:\ = gonna) e _j,é0( xsiné’gr- 3 603(99 T a {fiddle/it WW L : Leda Wife/2) “5:3: 03 : __ 03 #03 (95 + J £12.) weal), ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

EE 161 Midterm Soln - EEI 61 Spring 2006 Name Grade...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online