(b) Find the RMS value of a sine wave signal with peak value of 10 V. (3%)

(c) Why the diode Dlin the buck converter below will turn-on after Ql tumn-of!? (3%)

(d) Why the integration of inductor r voltage across a switching period is zero for a buck converter at steady-state? (3%)

(e) Follow (c). Assume there is a small inductor in series with RL. Draw the voltage waveform of this inductor voltage for two switching periods. (4%)

 1. Please calculate the de Broglie wave length of an electron at velocity of 106 cm/s (5%)

2. For 1D confinement, an electron in box with size of 0.2nm, please find the permitted lowest 2 energies (10 %)

3. According to uncertainty principle, please find lowest energy where an electron can have in inside the atom (the size of atom is .(10%)

4. A particle limited to the x axis has the form of elsewhere. (1) Please find the probability that particle can be found between x=0.3 to 0.4. (5 %) (2) Find the expectation value of (x) of the particle's position (-1 to 1). (5%)

5. A particle is in a cubic box with infinitely hard walls. The edges length is L. The wave function can be written as Please find the normalization constant A (5%)

6. According the selection rule in a hydrogen atom system. If an electron is staying at the level of n=4 and I=3. Please write down the possible paths of this electron to relax it energy to n=1 and I=0 according the selection rule. (10%)

7. In the following descriptions, please identify which ones can fit in the three different statistical distributions: (A) Maxwell- Boltzmann, (B) Bose-Einstein, and (C) Fermi-Dirac. Please answer A, B, C for (1) to (8).(8%) (I) Particles with O or integral spins (2) Photons in a cavity (3) Electrons in a metal (4) Molecules of a gas (5) Phonons in a solid (6) Never more than I particles per state (7) Particles far enough apart so wave functions do not overlap (8) Identical, indistinguishable particles that obey exclusion principle

110年 - 110 國立臺灣大學_碩士班招生考試_電機工程研究所乙組:電力工程(含電力系統、電機機械、電力電子)#101255

109年 - 109 國立臺灣大學_碩士班招生考試_電機工程研究所乙組:電力工程(含電力系統、電機機械、電力電子)#105857