課程名稱︰普通物理學甲下
課程性質︰必帶
課程教師︰林敏聰副教授
開課學院：理學院
開課系所︰材料系
考試日期（年月日）︰99.04.21
考試時限（分鐘）：220(10:20~14:00)
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. Calculate the electric flux through the square(d) in figure a. The point
charge q is at middle of plane(height d/2).
2. Consider two large square plates seperated by a substance with dielectric
constant epsilon. The charges on plates are +Q,-Q respectively. Distance
between plates is d, and areas of two plates are both A.
(a) What is the magnitude of electric field inside the substance?(5%)
(b) Calculate the capacitance.(5%)
(c) We consider the charge of electric field at boundary is a step fuction.
For example, the electric field a little bit outside the square region
will be zero immediately. If you want to pull out the whole substance
very slowly, what's the work you need to do?(10%)
3. (a) Please give an intuitive explanation for the formation of the energy
band in the electronic structure of the solid state.(5%)
(b) Please describe and explain the three different conduction behaviors in
conductor, insulator, and semiconductor by using the concept of the
energy band.(9%)
(c) How is the temperature dependence of the conductivity for each type?(6%)
Why?(5%)
4. Please derive the kinetic energy K in special relativity.(10%)
5. (a) Please derive the energy-momentum relation in relativity:
E^2=c^2p^2+(moc^2)^2(10%)
(b) Please show that a particle whose mass at rest is zero must travel with
velocity equal to c.(10%)
6. Consider an arbitary charge distribution ro(r) within a volume V. Please
express the electric potential phi(r) with terms of monopole charge, dipole
moment, and quadrupole moment.(Hints: using binomial expansion). (15%)
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