PHYS 211 Exam 2, Fall 2004

Physics 211 Quiz 2 December. 9, ,2004 ID number: Time given: 60 minutes Please provide your reasoning for each step of your solution (providing an answer without a ~olution is not enough) www.amal-aub.org Problem 1 The circuit sllown an the Figure I consists of 3 batteries with the voltages AVl = 5V, AV2 =L 10V, AV3 - 15V and two resistors R1 = 552 and Rz = 1012, Find the currents through e:~(:h of the resistors. www.amal-aub.org Problem 2 The RC-cimait comists of the battery with tb& voltage AV, the capacitor C, two r&tors R aod 223 asd the switch, as &awn an $he Figure 2, Ia.&ially the capacitor is acrt b g & , The switch is t.wed on at the rnosgexlt of time t = Q, Fjn$ the electric current @~WQT& tihe battery as the function of the, www.amal-aub.org Problem 3 A closed conducting contour of n certain unknown shags ~arr4es unkrrown ct, .gz$E? electric cunei~t. The contour is placed in the constant externd magnetic field given by BW;,S'R:I *. *.,: (?+2?+3~)!I'eslas. It is known that the difference between the minimal md m ~ i m a l ; . - ;"f , of.the potentid energy for xrarious possible orientations of the contaur in this magnetic field ., is equal to 4 W = 205 = 20Nxrn'( the mechanical potential energy of the f i a e $ue ttq its mass c m be neglected) Find the mag~tude of the torque acting on the contour due to the magnetic field, when the contour h located in the www.amal-aub.org Problem 4 1 K chargeti pwticle 1 has the mass M and the dmge Q and a ehatged particle 2 b+s the rnttss 2M and the charge 39. Both pceicles we first accelera$ed by the s w e pntaztial rliifmeuce LLV and then enter the region with the wmtant magnetic field B. The direction of the magnetic fiield is perpendiculas to the directions oi the velocities of the both particles. Find :he radius of the orbit of the paticle 2 2 the radius of the partide 1's orbit k; equal t;c! R. www.amal-aub.org