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标题[试题] 96下 张宝棣 普通物理学甲下 第二次期中考
时间Mon May 12 05:07:07 2008
课程名称︰普通物理学甲下
课程性质︰系必修
课程教师︰张宝棣
开课学院:电资学院
开课系所︰资讯系
考试日期(年月日)︰2008/05/09
考试时限(分钟):130
是否需发放奖励金:是
(如未明确表示,则不予发放)
试题 :
1. A wire is formed into a circle having a diameter of 10.0 cm and placed in an
uniform magnetic field of 3.00 mT. The wire carries a current of 5.00 A.
Find (a) the maximum torque on the wire and (b) the range of potential
emergies of the wire-field system for different orientations of the circle.
(10%)
2. Figure 1 shows a cross section of a long cylindrical conductor of radius a
containing a long cylindrical hole 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. (a) Use superposition to find the megnetic
field at the center of the hole. (b) Discuss the two special cases b = 0 and
d = 0. (c) Use Amphere's law to show that the magnetic field in the hole is
uniform. (15%)
3. In Fig.2, both currents in the infinitely long wires are in the negative x
direction. (a) Sketch the magnetic field pattern in the yz plane. (b) At
what distance d along the z axis is the magnetic field a maximum (10%)
4. Fig.3 shows a rod of length L caused to move at constant speed v along
horizontal conducting rails. The magnetic field i which the rod moves is not
uniform but is provided by a current i in a long wire parallel to this
rails. Assume that v = 5.00 m/s, a = 10.0 mm, L = 10.0 cm, and i = 100 A.
(a) Calculate the emf induced in the rod. (b) What is the current in the
conducting loop? Assume that the resistance of the rod is 0.400 Ω and that
the resistance of the rails and strip the connect them at the right is
negligible. (c) At what rate is the thermal energy being generated in the
rod? (d) What force must be applied to the rod by an external agent to
maintain its motion? (e) At what rate does this external agent do work on
the rod? (20%)
5. Two inductors L1 and L2 are connected in parallel and separated by a large
dustance. (a) Show that the equivalent inductance is given by
1 / Leq = ( 1 / L1 ) + ( 1 / L2 ). (b) Why must their separation be large
for this relationship to hold? (10%)
6. A capacitor, a coil, and two resistors of equal resistance are arranged in
an AC circuit, as shown in Fig. 4. An AC source provides an emf of
20.0 V (rms) at a frequency of 60 Hz. When the double-throw switch S is
open, as shown in the figure, the rms current is 183 mA. When the switch is
closed in position 1, the rms current is 298 mA. When the switch is closed
in position 2, the rms current is 137 mA. Determine the value of R, C and L.
Is more than one set of values possible? Explain your reasons. (15%)
7. A helium-neon laser of the type often found in physics laboratories has a
beam power of 5.00 mW at a wavelength of 633 nm. The beam is focused by a
lens to a circular spot whose effective diameter may be taken to be equal to
2.00 wavelengths. Calculate (a) the intensity of the focused beam, (b) the
radiation pressure exerted on a tiny perfectly absorbling sphere whose
diameter is that of the focal spot, (c) the force exerted on this sphere,
and (d) the magnitude of the acceleration imparted to it. Assume a sphere
density of 5.00 × 10 ^ 3 kg/m^3. (12%)
8. In Fig. 5, initially unpolarized light is sent through three polarizing
sheets whose polarizing directions make angles θ1 = 40 degrees,
θ2 = 20 degrees, and θ3 = 40 degrees with the direction of the y axis.
What percentage of the light's initial intensity is transmitted by the
system? (8%)
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