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106年 - 106 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#110197
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題組內容
3.(20%)
(b) (10%) Starting from these equations, derive all the boundary conditions at the interface between two different materials.
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10. (10%) As shown in Fig. 7, calculate the average power transmitted into the infinite 150 Ω line. The λ/2 line is lossless and the infinitely long line is slightly lossy. (Hint: The input impedance of an infinitely long line is equal to its characteristic impedance so long as the line is not lossless)
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1.(20%) The radius of the solid inner conductor and the inner radius of the very thin outer conductor of an air coaxial transmission line are ri and ro, respectively. A uniform current I flows in the inner conductor and returns via the thin outer conductor in the other direction. The permeability of free space μ0 is H/m. Determine the stored magnetic energy per unit length of the line.
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2.(20%) Determine the capacitance of a spherical capacitor with an inner conducting sphere of radius a and an outer conductor of radius b. The permittivity of a dielectric medium between these two concentric spherical conductors is ε.
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(a) (10%) Write down the integral form of time-harmonic Maxwell's equations.
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(a) (6%) Findε2 in terms of ε0.
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(b)(7%) Find the reflection coefficient and transmission coefficient.
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(c) (7%)Obtain the mathematical expressions for the incident, reflected and transmitted fields.
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(a) (3%) What is the meaning of the polarization of a plane wave?
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(b) (2%) What is a uniform plane wave?
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(c) (3%) What is the skin effect? Discuss your knowledge about skin effect.
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