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

(d) Is the design appropriate and reasonable? If not, give your reasons and solutions? (Hint: you may compare the obtained force with the gravity the particle "'feels") (5pts).

3. A long straight conducting wire has a circular cross-section of radius R and carries a current I. Inside the conductor, there is a cylindrical hole of radius a whose axis is parallel to the axis of the conducting wire and is Iocated at a distance b from it. Calculated the magnetic field inside the hole. (15 pts).

(a) (5%) determine the relative dielectric constant

(b) (5%) find out its (effective) conductivity at this frequency, and

(c) (5%) obtain the loss tangent of this material. What's the physical meaning of the loss tangent?

(a) (5%) What do we mean by a simple medium?

(b) (3%) Given the free-space wavelength λ₀, write down the incident wave vector k_i.

(c) (5%) If the incident magnetic field of constant amplitude points in the y-direction, determine the phasor form of the incident electric field E_i.

(d) (9%) Assume the direction of the H field does not change upon retlection and transmission at the interface and the magnetic field amplitudes of the reflected and transmitted waves are denoted by and, respectively. Obtain the relation that the tangential components of the electric fields in media 1 and 2 must satisfy at x= 0.

(e) (5%) Explain how the phase matching condition is obtained based on the result from (d).

(a) (8%) Determine the characteristic impedance of of this quarter-wave segment.

(b) (5%) Find out the shortest short-circuited stub length I_s required to match the load at interface BB'.

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

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