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102年 - 102 國立中山大學_碩士班招生考試_電機系(戊組)、電波領域:電磁學#109076
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Problem 3
b. (5%) Explain the difference between a dielectric and a conductor.
相關申論題
a.(10%) Using the Method of Image, write down the potential distribution, V(x, y, 2), for a point P(x, y, z) in space, as shown in Figure (a), in terms of R+ and R., as indicated in Figure (b). The dielectric constant of the space isεo.
#467212
b.(10%) Write the electric intensities () for a point on the ZX-plane in terms of d and R, or d and r, as indicated in (b). P(x, y, z) (x0, d. 0) Grounded plane conductor (ImageCharge) (a) Physical arrangement. (b) Image charge and field lines. Figures (a) and (b) a single charge Q above a ground plane Problem 2 A air-filled coaxial with dimensions as shown in the following figure:
#467213
a.(5%) For the inductance, which term drops off at high frequencies? Why?
#467214
b. (5%) The characteristic impedance is defined as , find out the characteristics impedance at high frequencies, and please indicate the unit for it.
#467215
a.(5%) The dielectric constant for Teflon is 2; it is a low one for a dielectric material. What is the dielectric constant for air?
#467216
c.(5%0) What is the dielectric constant for a metal, for example, Copper?
#467218
d.(5%) The relative permeability for Steel is 100, and is frequency dependent. What is the relative permeability for Copper?
#467219
Problem 4 (10%) Refer to the following figure and prove the law of Cosines,.
#467220
Problem 5 (15%) A parallel polarized plane wave is obliquely incident from free-space onto a magnetic material with permittivityε0 and permeability μ0 μr. Find the reflection coelfcient, transmission coelticient, and Brewster angle.
#467221
Problem 6 (15%) A 50Ω transmission line is matched to a 10V AC source and feeds a load ZL = 100Ω. If the line is 2.3 λ long and has an attenuation constant a = 0.5 dB /λ. Find the powers that are delivered by the source, lost in the line, and delivered to the load.
#467222
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