Phys4W09MT330Solutions - Physics 4 Midterm Jan 29 2009 3:30...

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Unformatted text preview: Physics 4 Midterm, Jan. 29, 2009. 3:30 PM Name: S o lo J2"& Seat: Exam form A Do not begin until instructed to do so. We will not answer any questions during the exam because doing so might unfairly disadvantage those that end up sitting away from the aisles Where they are unable to ask questions. Because of this, I have carefully reviewed the wording of the questions to make them clear. This policy may be a nuisance, but at least it is a fairly applied nuisance. Please do not try to cheat on this exam. It is not likely to help your score, and it is not worth risking a UC degree for one exam. Some potentially useful reminders: f cos (x)dx = sin (11:) f sin (x)da: = — cos (x) f “ft—x = 111(13) 1. (8 points) Answer the following true or false questions. 0 ©or F) A moving charge will produce a magnetic field propor- tional to its velocity. A 0(Tor®2xy=:fi. —v¢ 0®orF)fl-flel=0. ”13:0 0 @or F) The line-integral around any fixed, closed path of the component of the E field tangent to the ath is zero if the magnetic flux is constant in time. § [3-4 = 8 = “$.58 o (T or® The units of magnetic flux are Volts per second. V- S o ®or F) Magnetic field lines have no beginning and no end. 0 @or F) The work done by}; magnetic force on a moving charged particle is always zero. F (5 P‘f‘fv uulfcu (4r +0 \M—O hm ' o (TOI®Theunitsforpo areT-A/m. f; = 2‘40 1:1: :3, M0 M5 man's ‘f '7 f 7" o S: T- M/ A. 2. (4 points) An electrically charged particle With charge q and mass m has velocity 17 = (0,vy,0) and is in a uniform magnetic field E = (Bx, By, Bz). What is the force on the particle? [33: gié Only Hu- xd‘z‘: Wfomwfs a? T3: MH‘G AMA Marc. 1"; vto Form. in We. 7 dwazEw, So u)!- cML, Lawl- +0 “damn Want. (1: will Anyway Far erwxflckmss). F; : it” 312‘ ”BA 3 7/952 : @[V%B$ .. V‘LBZ] : O 3. (4 points) The figure below shows a bar magnet and a conducting ring. The magnet is moving toward the rigm along a line that goes through H the center of the ring and is perpendicular to the plane of the ring. In which direction does the ring’s resulting magnetic dipole moment 46 H Moved; +0 like. V‘Claldsl 3 ’ l¢$$ l-‘lux 304-5 Htr‘ijk We ._v ‘ pomt? : v Viv/Lia. So, a. «(.41 w(‘// loave- AW EMF :KJULKJ 710 - .- MK‘WV‘1 Flux route-cl Lilli”- Tlm-I- mums i Fahd—s ln-‘H‘ 4. (5 points) Explain in 3 or 4 sentences how a metal detector works? 594, (cal-wra- was or {~¢.y_-H;ook Stch‘m 2.1-6; 5. (10 points) A wire is bent into a U-shape, so it has two arms a distance d apart. It is placed flat on a table where a uniform and constant magnetic field é points down into the table. A metal rod is laid across the two arms, a distance L from the left end of the U-shape. This forms a closed circuit. If the rod is then moved to the right with constant velocity 17, What EMF is induced in the circuit? A5 flu. (‘03 MOVtS +0 We. 69 ® ® fight, More «Clux Is ® ® ® CL italoSc-A L9 4’le loaf. bL—fi‘ l? Jonsuli- cLA 4/ Lof A 4015'. A .. A _ <44 __ clV-Al: {535% = $8344 = 3’43““ 321‘ B j? A”: ’C win—m H- .‘sA\ “0+ ”L: sfvtu- Alta- (Mg-I’LL 0; “”1“- ‘77; 4417955 MI. loo}? [5 chod' MW5~ $0, gZ-iész «BAT At A“; #1“: ma!» McLean. a curred/1i- mm+er~ Cloc-KkJISQ. 41) 0f?0$l +1“ :VLfi/h‘as‘V? 'F/VX 6. (20 points) A loop of wire forms a circle of radius R. A steady current I flows through the Wire. Compute the magnetic field at the center of the loop. You must show and explain each step to get credit. Sac. lad-m!“ W‘ H Fti’keék 7. (20 points) Consider an infinite sheet of parallel Wires. The sheet lies in the my plane. A current I runs in the —fi direction through each Wire. There are N /a Wires per unit length in the x direction. Derive an expression for §(d), the magnetic field a distance d above the my plane. You must show and explain each step to get credit. ...
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