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題組內容

Problem 4

a. (5%) Why Curl of Gradient of a potential field is zero, that is, ∇ x ( ∇V) = 0?

其他申論題

b. (5%) The characteristic impedance is defined as, find out the characteristics impedance at high frequencies, and please indicate the unit for it. 新告+

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?

b.(5%) What is the dielectric constant for a metal, for example, Copper?

c.(5%) The relative permeability for Steel is 100, and is frequency dependent. What is the relative permeability for Copper?

b.(5%) Why Divergence of Curl of a vector field is zero, that is, ∇. ( ∇ X A) =0?

c.(5%) Refer to the following figure and prove the law of Cosines,

Problem 5 (20%) A plane wave is normally incident on a dielcctric slab of relative permitivity &, and thickness d. where), and λ0 is the free-space wavelength of the incident wave, as shown in Figure (e). If free-space exists on both sides of the slab, find the reflection cocfficient of the wave reflected from the front of the slab.

Problem 6 (10%) A lossless transmission Iine is terminated with a 100 Ω load. If the standing wave ratio (SWR) on the line is 1.5, find the two possible values for the characteristic impedance of the line.

Problem 7 (20%) An average power of 1 (kW) at 10 (GHz) is to be delivered to an antenna at the TElo mode by an air-filled metallic rectangular waveguide 1 (m) long and having sides a = 2.25 (cm) and b = 1 (cm). Assume that all the conductors are perfect electric conductors. Find the maximum values of the electric and magnetic field intensities within the waveguide.

六、求？(20 分)

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