課程名稱︰普通物理甲下
課程性質︰必
課程教師︰趙治宇
開課學院：理
開課系所︰物理
考試日期（年月日）︰100/6/23
考試時限（分鐘）：3hrs
是否需發放獎勵金：yes
（如未明確表示，則不予發放）
試題 :
7. In Figure 2, after switch S is closed at time t=0, the emf of the source is
automatically adjusted to maintain a constant current i through S. (a) Find
the current through the inductor as a funct of time. (b) At what time is the
current through the resistor equal to the current through the inductor?
(4%,4%)
Figure 2.
--- -----------
| - | |
| - | |
emf S R L
| - | |
| | |
-----------------
8. In Figure 3a. Switch has been closed on A long enough to establish a steady
current in the inductor of inductance L1 and the resistorof resistance R1.
Similarly, in Figure 3b, switch S has been closed on A long enough to
establish a steady current in inductance L2 and resistor of the resistance
R2. The I1/I2 is the magnetic flux through a turn in unductor 2 to that
in inductor 1. At time t=0, the two switches are closed on B. At what time
t is the flux through a turn in the two inductors equal? (8%)
Figure: 先是RL串連一emf，後改成RL放電。太複雜了，無法在此表達。
9. In an oscillating series RLC circuit, show that delta U/U, the fraction
of the energy lost per cycle of oscillation, is given a close approximation
by 2piR/wL (8%) (w=frequency)
10.If an electrom in an atom has an orbital angular momentum with m= -3, what
are the components (a)L orb,z (b) u orb,z? If the atom is in an external
magnetic feild B that has magnitude 35 mT and is dirceted along the z axis,
what are (c) the energy Uorb associated with u orb and (d) the energy Uspin
associated with u s? (8%)
11.A luminous point is moving at speed Vo toward a shperical mirror with radius
of r, along the central axis of the mirror. Show that the image of this
point is moving at speed Vi=-(r/(2p-r))^2*Vo, where p is the distance of the
luminous point from the mirror at any given time. (8%)
12.Light of wavelength S is used in a Michelson interferometer. Let x be the
position of the movable mirror with x=0 when the arms have equal lengths
d2=d1. Write an expression for the intensity of the observed light as a
function of x letting Im be the maximum intensity. (10%)
exam ends.
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千古江山，英雄無覓、孫仲謀處。舞榭歌臺，風流總被、雨打風吹去。
斜陽草樹，尋常巷陌，人道寄奴曾住。想當年，金戈鐵馬，氣吞萬里如虎。
元嘉草草，封狼居胥，贏得倉皇北顧。四十三年，望中猶記、烽火揚州路。
可堪回首，佛貍祠下，一片神鴉社鼓。憑誰問：廉頗老矣，尚能飯否？
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