[試題] 101下 趙治宇 普通物理學甲下 期中考
課程名稱︰普通物理學甲下
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）︰2013/04/25
考試時限（分鐘）：170分
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. 簡述導電高分子為何能導電的原理. (10%)
2. (a)描述傳統超導現象發生之成因;(b)描述極光發生之成因.(6%,6%)
3. (a)舉一個有關熱電效應(thermoelectric effect)之應用.
(b)描述如何設計一應變計(strain gauge)來精準測量一鋼筋材料的微小形變.(6%,6%)
4. 描述傳統陰極射線管(cathode-ray tube)電視機的操作原理.(8%)
5. 描述檢流計(Galvanometer)運作原理以及如何改善讀值刻度之線性度.(8%)
6. In Fig1, small, nonconducting ball of masss m = 1.0 mg and charge
q = 2.0*10^-8 C (distributed uniformly through its volume) hangs from an
insulting thread that makes an angle θ = 30°with a vertical, uniformly
charged nonconducting sheet (shown in cross section). Considering the
gravitational force on the ball and assuming the sheet extends far vertically
and into and out of the page, caculate the surface charge density σ of the
sheet.(8%)
7. The smiling force of Fig.2 consists of three items:(1)a thin rod of charge
-3.0μC that forms a full circle of radius 6.0 cm;(2)a second thin rod of
charge 1.0μC that form a circular arc of radius 4.0 cm, subtending an angle
of 90°about the center of the full circle;(3)an electric dipole with a
dipole moment that is perpendicular to a radial line and has magnitude
1.28*10^-21 C．m. What is the net eletric potential at the center?(10%)
8. In Fig.3, V = 12V, C1 = 10μF, and C2 = C3 = 20μF. Switch S is first thrown
to the left side until capacitor 1 reaches equilibrium. Then the switch is
thrown to the right. When equilibrium is again reached, how much charge is
on capacitor 1?(10%)
9. Figure 4 displays two circuits with a charged capacitor that is to be
discharged through a resistor when a switch is closed. In Fig.4(a),
R1 = 20.0Ω and C1 = 5.00μF. In Fig.4(b), R2 = 10.0Ω and C1 = 8.00μF.
The ratio of the initial charges on the two capacitors is q02/q01 = 1.72.
At time t = 0, both swithchs are close. At what time t do the two capacitors
have the same charge?(10%)
10.In Fig.5, a conductor carries 6.0 A along the closed path abcdefgha running
along 8 of the 12 edges of a cube of edge length 10 cm .(a)Taking the path
to be a combination of three square current loops(bcfgb. abgha, and cdegc),
find the net magnetic moment of the path in unit-vector notation. (b)What
is the magnitude of the net magnetic field at the xyz coordinates of (0,
5.0m,0)?(6%,6%)
11.An uncharged conducting sphere of radius a is coated with a thick insulating
shell(dielectric constant εr) out to radius b. This object is now placed in
an otherwise uniform electric field E0. Find the electric field in the
insultor.(10%)
12.The potential at the surface of a sphere (radius R) is given by V0 = kcos3θ,
where k is a constant. Find the potential inside and outside the sphere, as
well as the surface charge density σ(θ) on the sphere.(Assume there's no
charge inside or outside the sphere.)(10%)
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