課程名稱︰普通物理學甲下 課程性質︰數學系大一必帶 課程教師︰黃暉理 開課學院：理學院 開課系所︰數學系 考試日期（年月日）︰2014/03/11 考試時限（分鐘）：60 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 1. ~ 3. 圖片：http://i.imgur.com/cOlm6Hb.jpg 1. A plastic rod with charge density λ, is a circular section of radius r and central angle 2π/3. Point O is the center of the curvature of the rod. A dipole with charge Q and -Q with distance d is located at O (d<<r). And the angle between the dipole moment and the plane of the curvarue is θ.(25 pt.) → (a) What is the electric field E due to the rod at point O? (15 pt.) → → (b) What is the torque τ on the dipole caused by E ? (5 pt.) → (c) What is the potential energy U of the dipole in E ? (5 pt.) 2. Figure shows a section of a conducting rod of radius R = R and length L 1 inside a thin-walled coaxial conducting cylindrical shell of radius R = 10R 2 and the (same) length L. The net charge on the rod is Q = Q; that on the 1 shell is Q = -2Q. What are the (a) magnitude E and (b) direction (radially 2 inward or outward) of the electric field at radial distance r = 2R ? What 2 are (c) magnitude E and (d) the direction at r = 5R ? What is the charge on 1 the (e) interior and (f) exterior surface of the shell? (Show your answer by Q and R) (10 pt. for (a)(b) and (c)(d), 5 pt. for others) 3. (a) Figure (a) shows a nonconducting rod of length L and uniform linear charge density λ. Assume that the electric potential is defined to be V = 0 at infinity. What is V at point P at distance d along the rod's perpendicular bisector? (15 pt.) (b) Figure (b) shows an identical rod except that one half is now negatively charged. With V = 0 at infinity, what is V at P? (10 pt.) 4. Figure shows a parallel-plate capacitor of plate area A and plate separation d. A potential difference V is applied between the plates by connecting a 0 battery between them. The battery is then disconnected, and a dielectric slab of thickness b and dielectric constant κ is placed between the plates as shown. (a) What is the capacitance C before the dielectric slab is inserted? 0 (b) What is the electric field E in the gaps between the plates and the 0 dielectric slab? (c) What is the electric field E in the dielectric slab? 1 (d) What is the potential difference V between the plates after the slab has been introduced? (e) What is the capaitance with the slab in place between the plates of the capacitor? ▄▄▄▄▄▄▄ ↑ █████████ ↑ │ ████κ████ │b │d █████████ ↓ │ │ ▄▄▄▄▄▄▄ ↓ -- 第01話 似乎在課堂上聽過的樣子 第02話 那真是太令人絕望了 第03話 已經沒什麼好期望了 第04話 被當、21都是存在的 第05話 怎麼可能會all pass 第06話 這考卷絕對有問題啊 第07話 你能面對真正的分數嗎 第08話 我，真是個笨蛋 第09話 這樣成績，教授絕不會讓我過的 第10話 再也不依靠考古題 第11話 最後留下的補考 第12話 我最愛的學分 --

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