※ [本文轉錄自 NTU-Exam 看板] 作者: RoarLiao (大媽) 看板: NTU-Exam 標題: [試題] 94下 王名儒 普通物理學甲 期中考 時間: Thu Apr 20 16:27:28 2006 課程名稱︰普通物理學甲下 課程性質︰必修 課程教師︰王名儒 開課系所︰土木工程學系 考試時間︰4/20/06 試題 : 1.In the temperature range 310K to 330K, the pressure p of a certain non-ideal gas is reated to volume V and temperature T by p = (24.9 J/K)T/V - (0.00662 J/K^2)T^2/V. How much work is done by the gas if its temperature us raised from 310K to 325K while the pressure is held constant? 2.Find the entropy change for a system of n moles of ideal gas in a free expansion process to double its volume. 3.how much work is required to turn an electric dipole 180 degree in a uniform electric field of magnitude E = 50.0 N/C if the electric dipole moment p = 3.02 * 10^(-25) C.m and the initial angle is 60 degree. 4.A non-conducting solid sphere has a uniform volume density ρ. A small spherical cavity is hollowed out of the sphere with the position vector a, from the center of the sphere to the center of the cavity. Show that the electric field is a constant vecter for all points within the cavity and find out its magnitude. 5.Two isolated concentric conduction spherical shells have radii R1 and R2, uniform charges Q1 and Q2, and tnegligible thickness. Find the magnitude of electric field E(r) and the electric potential V(r), where V = 0 at infinity. 6.Find the electric energy stored in a cylindrical capacitor of length L and radii a and b with charge Q. Show that the energy density is 0.5 ε0*E^2. 7.A switch, a resistor of resistance R and a capacitor with capacitance C are connected in series with an ideal battery of emf V. At time t = 0. the switch is connected. Find the current i(t) in this circuit. 8.Draw a simple schematic graph and describe the operation principle of a cyclotron. You need to derive the key formula to demonstrate its working principle. 9.Write down the Biot - Savart law and use that to find out the magnetic field at a perpendicular distance r from a long straight wire carrying a currrent I. 10.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 ti J = J0*r/a. Find the magnitude of the magnetic field at (a) r = 0 and (b) r = a/2. p.s. 下標的0我不會打，就直接用大的零表示。 --

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