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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