(ii) (10%) Please write down the values of d and a for each case below.

(a) (5%) Which wave propagates in the z direction?

(b) (5%) Which wave has an electric field that is along the z direction?

(c) (5%) Find βi (in rad/m)?

(d) (5%) Find f2 (in Hz)?

(e) (5%) What is the wavelength of wave ①?

(f) (5%) What is the w elength of wave ②?

(8) (5%) If the time-averaged power flow density of wave① is P1, what is the time-averaged power flow density of wave②?

2. (15%) A parallel-plate transmission line consists of an arrangement of two perfect dielectrics, as shown by the transverse cross section in the figure below. Note that μ1ε1 =μ2ε2, so that the TEM waves propagating in the two dielectrics are in phase at all points along the interface between the dielectrics. Neglect finging of fields and compute the values of L, C, and Z0 of the line. (C is the capacitance per unit length; L is the inductance per unit length.)

3. (10%) The input impedance of a short-cireuited transmission line of length / is A resonant system is formed by connecting two short-circuited transmission lines as follows At the junction, . Please show that

(Ⅰ) Please determine the lowest five modes for the following cases: (i) b/a=1 (5%);(i) b/a=1/2 (5%); (iii) b/a=1/3 (5%).

110年 - 110 國立臺灣大學_碩士班招生考試_電信工程研究所甲組:電磁學及電磁波#113085

110年 - 110 國立臺灣科技大學_碩士班招生試題_電子工程系(丙組)：電磁學#112842

110年 - 110 國立臺灣科技大學_碩士班招生試題_光電工程系：電磁學#111696

110年 - 110 國立臺北科技大學_碩士班招生考試_光電工程系碩士班：電磁學#108271

110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:電磁學#105808

110年 - 110 國立中央大學_碩士班招生考試_光電類:電磁學#105700

110年 - 110 國立臺灣大學_碩士班招生考試_光電工程學研究所:電磁學(C)#105687

110年 - 110 國立清華大學碩士班考試入學試題_聯合招生:電磁學#105337

110年 - 110 國立中山大學碩士暨碩士專班招生考試_光電系碩士班:電磁學#104298

110年 - 110 國立中央大學_碩士班招生考試_太空科學與工程學系：電磁學#103844