west (mrw3223) HW 24 lyle (16001) 1

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1 west (mrw3223) HW 24 lyle (16001) 1 This print-out should hve 30 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Reding ssignment: Hecht, sections 16-1, 16-2, 16-3, points Assume we re given n electric field set up by n unknown chrge distribution. U 0 is the mount of work needed to bring point chrge of chrge q 0 in from infinity to point P. If the chrge q 0 is returned to infinity, how muchworkwouldittketobringnewchrge of 4q 0 from infinity to point P? 1. U U The correct nswer is not given. 5. U U U 0 8. U U More informtion is needed. 002 (prt 1 of 2) 10.0 points Findthepotentil1.32cmfromproton. The Coulomb constnt is Nm 2 /C 2 nd the elementl chrge is C. Answer in units of V. 003 (prt 2 of 2) 10.0 points Wht is the mgnitude of the potentil difference between two points tht re 1.32 cm nd 3.3 cm from proton? Answer in units of V. 004 (prt 1 of 4) 10.0 points A chrge C is fixed on the x-xis t 7 m, nd chrge C is fixed on the y-xis t 5 m. 5 m C C 7 m Clculte the mgnitude of the resultnt electric field E t the origin. Answer in units of N/C. 005 (prt 2 of 4) 10.0 points Clculte the electric potentil t the origin. Answer in units of V. 006 (prt 3 of 4) 10.0 points A C chrge isbrought from very distnt point by n externl force nd plced t the origin. Clculte the mgnitude of the electric force on this chrge. Answer in units of N. 007 (prt 4 of 4) 10.0 points Clculte the work tht hd to be done by n externl force to bring Q to the origin from the distnt point points A chrged prticle is connected to string tht is is tied to the pivot point P. The prticle, string, nd pivot point ll lie on horizontl tble (consequently the figure below is viewed from bove the tble). The prticle is initilly relesed from rest when the string mkes n ngle 81 with uniform electric field in the horizontl plne (shown in the figure).

2 west (mrw3223) HW 24 lyle (16001) 2 initil relese 1.1 m kg 2 µc 477 V/m P P ω prllel Determine the speed of the prticle when the string is prllel to the electric field. Answer in units of m/s points A prticle of mss kg nd chrge 5 µc moves downwrd from point A to point B distnce of 2 m in the erth s grvittionl field. The kinetic energy of the prticle decreses by 1.7 mj during this movement. Wht is the potentil difference V B V A? The ccelertion of grvity is 9.8 m/s 2. Answer in units of kv. 010 (prt 1 of 2) 10.0 points Consider two prticles, ech with chrge of Qloctedttheoppositecornersofsqure of side d. Q 011 (prt 2 of 2) 10.0 points Wht is the potentil energy of prticle of chrge q tht is held t point P? 2 qq 1. U = 2πǫ 0 d 2. U = 1 qq 4πǫ 0 d 3. U = 0 4. U = 1 qq 2πǫ 0 d 2 qq 5. U = 4πǫ 0 d points Four positive chrges of mgnitude q re rrnged t the corners of squre. At the center C of the squre, the potentil due to one chrge lone is V 0, nd the electric field due to one chrge lone hs mgnitude E 0. q q C P Q Whtisthedirectionofthenetelectricfield t point P? d q q Wht re the electric potentil nd the mgnitude of the electric field t the center of the squre due to ll four chrges? Electric Electric Potentil Field 1. 2V 0 4E V 0 2E E V

3 west (mrw3223) HW 24 lyle (16001) points Two chrges, 2Q nd Q, re locted on the x-xis, s shown. Point P, t distnce of 3D from the origin O, is one of two points on the positive x-xis t which the electric potentil is zero. Wht is the electric potentil E t the origin? Assume zero potentil t infinity. 1. zero 2. Cnnot be determined 3. negtive D D D 0 2Q Q P x 4. positive 015 (prt 2 of 4) 10.0 points How fr from the origin O is the other point? The Coulomb constnt is N m 2 /C d = 5 4 D 2. None of these 3. d = 7 5 D 4. d = 4 3 D 5. d = 7 4 D 6. d = 3 2 D 7. d = 5 3 D 8. d = 8 5 D 9. d = 6 5 D q q q (b) 2 Wht is the electric potentil E t the origin? 1. zero 2. Cnnot be determined 3. negtive 4. positive 016 (prt 3 of 4) 10.0 points 10. d = 9 5 D 014 (prt 1 of 4) 10.0 points q q q q 2 2 q () (c) Wht is the electric potentil E t the ori-

4 west (mrw3223) HW 24 lyle (16001) 4 gin? 1. positive 2. negtive 3. zero 4. Cnnot be determined 017 (prt 4 of 4) 10.0 points q q q (d) 2 2 Wht is the electric potentil E t the origin? 1. Cnnot be determined 2. positive 3. zero 4. negtive points Prticles A (of mss m nd chrge Q) nd B (of m nd chrge 5 Q) re relesed from rest when the distnce between them is m. If Q = 27 µc, wht is the kinetic energy of prticlebttheinstntwhentheprticlesre m prt? The vlue of the Coulomb constnt is N m 2 /C µc 2.83 µc 6.97 cm 3.22 µc 3.6 cm How much energy would be expended in moving the 7.96 µc chrge to infinity? The vlue of the Coulomb constnt is N m 2 /C points In Rutherford s fmous scttering experiments (which led to the plnetry model of the tom), lph prticles (hving chrges of 2endmsses of kg)werefired towrd gold nucleus with chrge 79e. An lph prticle, initilly very fr from the gold nucleus, is fired t m/s directly towrd the gold nucleus. 2e v = 0 d 79e How close does the lph prticle get to the gold nucleus before turning round? Assume the gold nucleus remins sttionry. The fundmentl chrge is C nd the Coulomb constnt is N m 2 /C 2. Answer in units of m points A dipole field pttern is shown in the figure. Consider vrious reltionships between the electric potentil t different points given in the figure points Three chrges re situted t corners of rectngle:

5 west (mrw3223) HW 24 lyle (16001) 5 4. momentum. D K 5. energy. H L Consider five potentil reltionships ) V D = V J > V H b) V D = V J = V H c) V D = V J < V H d) V K < V H < V L e) V K > V H > V L Which reltionships re correct? 1. () nd (e) only 2. () only 3. (c) nd (e) only 4. (b) nd (e) only 5. () nd (d) only 6. (d) only 7. (e) only 8. (b) nd (d) only 9. (c) only 10. (c) nd (d) only points The electron volt is mesure of 1. impulse. 2. chrge. 3. velocity. J points Acpcitorthtisconnectedto42Vsource contins 94 µc of chrge. Wht is its cpcitnce? Answer in units of µf points Two prllel conducting pltes seprted by distnce d re connected to bttery of voltge E. Wht is correct if the plte seprtion is doubled while the bttery remins connected? 1. The potentil difference between the pltes is hlved. 2. The potentil difference between the pltes is doubled. 3. The electric chrge on the pltes is hlved. 4. The electric chrge on the pltes is doubled. 5. The cpcitnce is unchnged points A prllel-plte cpcitor is chrged by connecting it to bttery. If the bttery is disconnected nd then the seprtion between the pltes is incresed, wht will hppen to the chrge on the cpcitor nd the electric potentil cross it? 1. The chrge remins fixed nd the electric potentil increses. 2. The chrge nd the electric potentil remin fixed. 3. The chrge remins fixed nd the electric potentil decreses. 4. The chrge nd the electric potentil in-

6 west (mrw3223) HW 24 lyle (16001) 6 crese. 5. The chrge increses nd the electric potentil decreses. 6. The chrge increses nd the electric potentil remins fixed. 7. The chrge decreses nd the electric potentil increses. 8. The chrge decreses nd the electric potentil remins fixed. 9. The chrge nd the electric potentil decrese. Find the energy stored. 029 (prt 2 of 3) 10.0 points Find the power required to chrge the cpcitor to this energy level in 43 s. Answer in units of W. 030 (prt 3 of 3) 10.0 points When this cpcitor is dischrged through the strobe lmp, it trnsfers ll its energy in s. Find the power delivered to the lmp. Answer in units of kw points An ir-filled prllel-plte cpcitor is to hve cpcitnce of 1.3 F. Ifthedistncebetweenthepltesis0.8mm, clculte the required surfce re of ech plte. The permittivity of free spce is C 2 /N m 2. Answer in units of km points A 4 µf cpcitor is chrged to potentil difference of 100 V. WhtistheelectricenergyU E storedinthe cpcitor? 1. U E = J 2. U E = J 3. U E = J 4. U E = J 5. U E = J 028 (prt 1 of 3) 10.0 points The energy stored in cpcitor is given by W = 1 2 CV2. One ppliction is in the electronic photo flsh or strobe light. In such unit, cpcitor of 11.7 µf is chrged to 261 V.

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