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104年 - 104 國立中山大學_碩士班招生考試_電機系(戊組)、電波聯合:電磁學#110200
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Problem 3
c.(5%) The relative permeability for Steel is 100, and is frequency dependent. What is the relative permeability for Copper?
相關申論題
a. (5%) Why Curl of Gradient of a potential field is zero, that is, ∇ x ( ∇V) = 0?
#471718
b.(5%) Why Divergence of Curl of a vector field is zero, that is, ∇. ( ∇ X A) =0?
#471719
c.(5%) Refer to the following figure and prove the law of Cosines,
#471720
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.
#471721
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.
#471722
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.
#471723
六、求?(20 分)
#471724
(5%) A point charge Q exists at (0, d, 0) in space, as shown in Figure (a). Using Theory of image, a point charge of -Q exists at (0, -d, 0) symmetrically, as indicated in Figure (b). The dielectric constant of the space is εo. Write the electric intensities (Ex|y=0, Ey|y=0, and Ez|y=0) for a point on the ZX-plane in terms of (d and R), or (d and r), as indicated in Figure (b).
#471725
(5%) What is the surface charge distribution on the ZX-plane? Sketch the distribution.
#471726
1.(10pt) A rechargcable battery is capable of delivering 100mA for 10 hours. How much charge can it release at that rate? If the terminal voltage is assumed as 3V, how much energy can the battery deliver?
#471727
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