課程名稱︰普通物理學甲下 課程性質︰必修 課程教師︰楊忠喜 開課學院： 開課系所︰生機系 考試日期（年月日）︰2012/4/11 考試時限（分鐘）：120 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 應全是從課本習題影印來，所以題號、圖號不規則或缺失請見諒，課本都找得到吧 (a) In the circuit of Fig. R1 = R2 = R3 = R. With C completely uncharged, switch S is suddenly closed ( at t = 0 ). V2(t) = ? (any time) (b) What si the potential difference V2 across resistor 2 at i3(t)=? (用ε,R,C表示) 37. A 1.0-MΩ resistor and a 1.0-μF capacitor are connected in a single-loop circuit with a seat of emf with ε = 4.0V. At 1.0s after the connection is made, what are the rates at which (a) the charge of the capacitor is increasing, (b) energy is being stored in the capacitor, (c) thermal energy is appearing in the resistor, and (d) energy is being delivered by the seat of emf? R = 1.0MΩ (2) In a Hall-effect experiment, a current of 3.0 A sent length-wise through a conductor 1.0 cm wide, 4.0 cm long, and 10μm thick produces a transverse (across the width) Hall voltage of 10μV when a magnetic field of 3.0 T is passed perpendiculary through the thickness of the conductor. From these data, find (a) the drift velocity of the charge carriers and (b) the number density of charge carriers. B = 3.0T 25. Positive charge Q is distributed uniformly through an insulating sphere of radius R, if it rotates about its diameter with an angular speed ω, find μ = ? (10) Figure shows a cross sectioin of a ling cylindrical conductor of radius b. The axes of the cylinder and hole are parallel and are a distance d apart; a current i is uniformly distributed over the tinted area. i方向為out of page, find |B| inside the hole at any point P (1) A thick spherical shell with inner radius a, outer radius b. Its resistivity ρ. Find R = ? if a potential difference is applied between the inner and outer surfaces. (i.e. 徑向電流R = ?) 39. The current density J inside a long, solid, cylindrical wire of radius a is in the direction of the central axis, and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a Find the magnitude of the magnetic field at (a) r = a (b) r = a/3 (c) r = 2a J0 is a constant (5) 同長之線圈及i相同，變成(1)正方形 (2)圓形 比較(1) B at center (2) μ之大小 (10) In Fig. current is set up through a truncated right circular cone of resistivity 731Ω‧m, left radius a = 2.00 mm, right radius b = 2.30mm, and length L = 1.94cm. Assume that the current density is uniform across section taken perpendicular to the length. What is the resistance of the cone? (11) A charge q is distributed uniformly around a thin disk of radius R. The disk is rotating about an axis through its center and perpendicular to its plane, at an angular speed ω. Find B at the center of the disk. --

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