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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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題組內容
Probsem1
(5%) What is the surface charge distribution on the ZX-plane? Sketch the distribution.
其他申論題
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
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
2. (10pt) Find v0 of the following circuit. Assume ideal OP amplifier.
#471728
3.(10pt) A balanced Y-connected load is connected to the generator by a balanced transmission line with impedance of 0.1+j0.2Ω per phase. The load is rated at 500kW, 0.866 power factor lagging, 254Vms phase voltage. Find line current and line voltage of the generator, respectively?
#471729
4.(10pt) Phase voltage and phase current of a load are given as v(t)=141cosotV, i()=14sin(ωt+30°) A. Find average power and reactive power of the load.
#471730
(a) RMS current. (5pt)
#471731
(b) Average power consumed by the resistor. (5pt)
#471732
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