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. -- 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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