GEN PHYS PHYS 24
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This 2 page Class Notes was uploaded by Hailey Halvorson on Thursday October 22, 2015. The Class Notes belongs to PHYS 24 at University of California Santa Barbara taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/227135/phys-24-university-of-california-santa-barbara in Physics 2 at University of California Santa Barbara.
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Date Created: 10/22/15
Physics 24 Practice Final 3 hours Harry Nelson Friday March 20 Write your answers in a blue book Calculators and two pages of notes allowed No textbooks or other material allowed Please make your work neat7 clear7 and easy to follow It is hard to grade sloppy work accurately Generally7 make a clear diagram7 and label quantities Make it clear what you think is known7 and what is unknown and to be solved for Except for extremely simple problems7 derive symbolic answers7 and then plug in numbers if necessary after a symbolic answer is available Use Gaussian centimeters grams seconds units for the electrostatic problems Put a box around your nal answer otherwise we may be confused about which answer you really mean and you could lose credit 1 3 9 7 Pam is running with speed 1 MgDc where c is the speed of light7 down a hill The slope of the hill is 30 with respect to the horizontal Pam kicks a soccer ball with speed u l2c with respect to herself in her frame7 the ball proceeds at an angle of 45 above the slope of the hill What angle does the ball make with respect to the slope of the hill7 according to an observer sitting on the hill A charge of strength Q 10 esu sits at the origin of an x y coordinate system a lntially7 the charge is at rest Find numerically the electric and magnetic elds at the point my 1007 given in centimeters b Repeat for my 0107 given in centimeters c Now imagine that the charge is still at the origin7 but moves with a velocity in the z direction of Mg2M Find numerically the electric and magnetic elds at the point my 107 07 given in centimeters d Repeat for my 010 A charge of strength Q 5 esu is at Ly7 z 07 07 5 in centimeters7 and moves with velocity 1 0010 in the z direction Below it in the plane 2 0 is a wire bent into a circle with radius b 5 cm7 having a current I 3 esusec going around in the clockwise direction7 as viewed from above positive You may assume that the strength of the magnetic eld on the axis of a circular wire is i 27sz Cbz 2232 a What is the direction and magnitude of the force on the charge b What is the value of the vector potential at the position of the charge A metal crossbar of mass m slides without friction down long parallel conducting rails which are a distance b apart7 as shown in Fig l The bar feels the force of the earth7s gravity A resistor R is connected across the rails at one end all other resistances are negligible compared to R There is a uniform B eld perpendicular to the gure The cross bar falls7 and eventually comes asymptotically to a terminal velocity Consider the balancing of magnetic and gravitational forces to arrive at an expression for the terminal velocity in terms of the other quantities Figure 1 For use in Problem 4 L L39 j 39 1 D 1 d r 3f EM a side Figure 2 For use in Problem 5 CL 5 A very long7 narrow7 rectangular loop is formed by wires a distance a apart from one another7 and joined at their ends7 so that the length of the loop is rnuch7 much greater than 17 as shown in the top of Fig 2 A square loop7 with each side also equal to 17 is placed so that one of its sides is a distance d from the closer wire in the long narrow loop The distance d is also much smaller than the length of the long loop Find the mutual inductance of these loops 6 In the circuit shown in Fig 37 the switch S is closed at t 0 The voltage 8 10 V7 the resistance
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