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※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 220.129.90.63
課程名稱︰普通物理甲
課程性質︰必修
課程教師︰趙治宇
開課學院：工學院
開課系所︰化工系
考試日期（年月日）︰2007/04/26
考試時限（分鐘）：三小時
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.In Fig. 1, an electric dipole swings from an initial orientation i(θi = 20)
to a final orientation f(θf = 20) in uniform external electric field E. The
electric dipole moment is 1.60×10^(-27)C˙m; the field magnitude is
3.00×10^6N/C. What is the change in the dipole's potential energy? (10pts)
2.In Fig. 2 shows, in cross section, two solid spheres with uniformly
distributed charge throughout their volumes. Each has radius R. Point p lies
on a line connecting the centers of the spheres, at radial distance R/2 from
the center of sphere 1. If the net electric field at point P is zero, what is
the ratio q2/q1 in sphere 2 to the total charge q1 in sphere 1? (10pts)
3.Fig. 3 shows a ring of outer radius R = 13.0cm, inner radius r = 0.200R, and
uniform surface charge density σ = 6.20pC/(m^2). With V = 0 at infinity,
find the electric potential at point P on the central axis of the ring, at
distance z = 2.00R from the center of the ring. (10pts)
4.Fig. 4 shows a thin plastic rod of length L = 12.0cm and uniform positive
charge Q = 56.1fC lying on an ｘ-axis. With V = 0 at infinity, find the
electric potential at point P1 on the axis, at distance d = 2.50cm from one
end of the rod. (10pts)
5.In Fig. 5, a slabof copper of thickness b = 2.00mm is thrust into a
papallel-plate capacitor of plate area A = 2.40cm^2 and plate separation
d = 5.00mm, as shown in figure as below; the slab is exactly halfway between
the plates.
(a)What is the capacitance after the slab is introduced? (3pts)
(b)If a charge q = 3.40μC is maintained on the plates, what is the ratio of
the stored energy before to that after the slab is inserted? (4pts)
(c)How much woek is done on the slab as it is inserted? (3pts)
6.In Fig. 6, current is set up through a truncated right circular cone of
resistivity 731Ω˙m, left radius a = 2.00mm, right radius b = 2.30mm, and
length L = 1.94cm. Assume that the current density is uniform across any
cross section taken perpendicular to the length. What is the resistance of
the cine? (10pts)
7.In Fig. 7, a metal wire of mass m = 24.1mg can slide with negligible
friction on two horizontal parallel rails separated by distance d = 2.56cm.
The track lies in a vertical uniform magnetic field of magnitude 56.3mT. At
time t = 0, device G is connected to the rails, producing a constant current
i = 0.13mA in the wire and rails (even as the wire moves). At t = 61.1ms,
what are the wire's
(a)Speed (8pts)
(b)Direction of motion (left or right)? (2pts)
8.Fig. 8 shows a wood cylinder of mass m = 0.250kg and length L = 0.100m, with
N = 10turns of wire wrapped around it longitudinally, so that the plane of
the wire coil contains the long central axis the cylinder. The cylinder is
released on a plane inclined at an angle θ to the horizontal, with the
plane of the coil parallel to the incline plane. If there is a vertical
uniform magnetic field of magnitude 0.500T, what is the least current i
through the coil taht keeps the cylinder from rolling down the plane? (10pts)
9.In the circuit of Fig. 9, ε = 1.2kV, C = 6.5μF, R1 = R2 = R3 = 0.73MΩ.
With C completely uncharged, switch S is suddenly closed (at t = 0). What is
the potential difference V2 across resistor 2 at
(a)t = 0 (5pts)
(b)t = ∞? (5pts)
10.In Fig. 10, length ａ is 4.7cm and current i is 13A. What are the
(a)Magnitude (8pts)
(b)Direction (into or out of the page) of the magnetic field at point P? (2pts)
所有圖片均來自Halladay/Resnick/Walker的Fundamentals of Physics, edition 7
Fig. 1 : p.603 Fig. 22-62
Fig. 2 : p.625 Fig. 23-52
Fig. 3 : p.652 Fig. 24-57
Fig. 4 : p.649 Fig. 24-44
Fig. 5 : p.681 Fig. 25-65
Fig. 6 : p.702 Fig. 26-29
Fig. 7 : p.762 Fig. 28-53
Fig. 8 : p.760 Fig. 28-44
Fig. 9 : p.729 Fig. 27-54
Fig. 10 : p.785 Fig. 29-53
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