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Unformatted text preview: Exam 2011 Physics 2220 I, _ Spring 2003 _ , , _ ' ' ' ' 1
Examination 2
Name:
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Professor/ Section : Weathers/2
(circle one) McDaniel/3 McDaniel/4 ~ Tolreceive credit, you must show all work for all 10 problems on the pages provided. Don’t
hand in any extra sheets or other paper. We suggest that you use the following procedure to solve the problems: 1. Read each problem carefully and make sure you know what is being asked before
starting the problem. Draw a ﬁgure for the problem. List the parameters given. Write down the equations to be used. Solve for the answer algebraically. Substitute numbers into your ﬁnal equation and circle your answer. 9W9?!" WORK THE EASY PROBLEMS FIRST!!!
Constants: k = 8.99 x 109Nm2/C2 80 = 8.85 x 10'12 CZ/(Nmz)
e= 1.60 x 10‘19C mproton = 1.67 x 10—27 kg
no = 47: x 10‘7 Tm/A 1. A spherical capacitor consists of a conducting ball of radius 12 cm that is centered inside a
grounded conducting Spherical shell of inner radius 15 Cm. What charge is required to achieve a
potential of 1400 V on the ball of radius 12 cm? V ' 2. Consider the capacitor circuit shown below, in which C1 = 6 11F, C2: 12 HF, and C3 = 3 ”F. Find the equivalent capacitance betWeeii points a and c‘for the group of capacitors connectedaas, ' shown. * 3. When a certain air—ﬁlled parallel—plate capacitor is connected across a battery, it acquires a
charge (on each plate) of magnitude 220 11C. While the battery connection is maintained, a
dielectric slab 15 inserted into the space between the capacitor plates and completely ﬁlls this
region. This results 1n the accumulation of an additional charge of magnitude 370 11C on each plate. What is the dielectric constant of the slab? 4. . A 1.2V potential difference is maintained across a 2.3 In length of copper wire that has a crosssectionalarea of 0.75 ml. Theresistivity of the copper is 1.69 X 10”8 Qm. What is the _ current in the Wire? 5. Inthecircuitshownbelow, 71=r2=r3=2Q, R1= 3Q, R2=4Q, R3=6Q, R4=8Q, 125:9
Q, 81 = 12V, 82: 15V, and. 83: 18V. Find the magnitude of the currentinthe branch containing 8] R1 51 7—, R3
8 2 1‘2 R5
53 i 6. An RC circuit has a '5 Q resistor, a_0.6 ”F capacitor, a 20 V battery and a switch in series.
The: capacitor is initially uncharged. How long after the switch is closed does the voltage across
the resistor drop to 10 V? 7. A cyclotron with a magnetic ﬁeld of B= 0.5 T IS designed to accelerate protons in a circle to
a maximum radius of l 111. What 13 the angular frequency of the proton when it is at that radius? 8. A, circular loop of Wire of radius 1 In lies in the x—y plane, is centered aboutthe origin, and is ,
carrying a current of 5 A ﬂoWing in the counterclockwisedirection. Consider two 1 mm _ segments of the loop, the ﬁrst centered about the positive xaxis and thesecond centered about 1'
the positive yaxis. Determine the magnitude of the force that the ﬁrst segment exerts on the ‘
second segment. (Assume that the two segments are short enough to be considered to be straight lines). i 9. In a proton accelerator, protons of velocity v= 3 X 107 m/s form a beam of current I 3 mA.
Assume that the beam has a circular cross section of radius r  1.5 cm and that the current is distributed uniformly over the cross section. Determine the magnetic force on a proton at the
edge of the beam. ' 10. A solenoid of length I = 4 In consists of N = 50 turns and carries a current of I = 4 A.
Assume that I >> R, Where R is the radius of the solenoid. Determine the magnitude of the magnetic ﬁeld at the center of the. solenoid. ...
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 Fall '00
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