課程名稱︰普通物理學甲(下) 課程性質︰物理系大一必帶 課程教師︰高涌泉 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰99/04/22 考試時限（分鐘）：120分鐘 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : (15%)1.Gauss' law can be used to determine the amount of charge inside a closed surface. How do we that Gauss' law holds when the enclosed charges are moving ? (15%)2.Fig. 1 shows a cross section of a neutral spherical metal shell of inner radius R. A point charge -q(q>0) is located at a distance R/2 from the center of the shell. What is the (electric) field pattern inside and outside the shell ? . . . . . . . . . . . . . . . . . . . . . .____R______. . . . P . . . . . . . . . . . . . . (Fig. 1)我盡力了 P點是-q所在 (15%)3.Fig. 2 shows a parallel-plate capacitor with plate area A and plate separation d. The top half of the gap is filled with a material of dielectric constant κ1 ; the bottom half is filled with a material of dielectric constant κ2. What is the capacitance of this capacitor ? q ____________________ _ ////////κ1//////// - q \\\\\\\\κ2\\\\\\\\ _ ↘ ￣￣￣￣￣￣￣￣￣￣ d (Fig. 2) (15%)4.An electron moves in a circle of radius r with speed v. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge magnitude q to the period of the motion. If the circle lies in a uniform magnetic field of magnitude B, what is the maximum possible magnitude of the torque produced on the loop by the field ? (15%)5.A square loop of wire of edge length a carries current i. What is the magnitude of the magnetic field produced by the current at the center of the loop ? (10%)6.Two inductors L1 and L2 are connected in parallel and separated by a large distance so that the magnetic field of one cannot affect another. What is the equivalent inductance ? (15%)7.In an oscillating resistanceless LC circuit (capacitance C ; inductance L), the current is initially a maximum. How long will it take before the capacitor is fully charged for the first time ? --

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