AAPT UNITEDSTATES PHYSICS TEAM AIP 2007 Semi-Final Exam Part A A1.A group of 12 resistors is arranged along the edges of a cube as shown in the diagram below. The vertices of the cube are labeled a-h. a.(13 pts)The resistance between each pair of vertices is as follows: Rab =Rac Rae =3.0 Rcg Rer=Rbd=8.0 Rcd Rbf=Reg 12.0 Rdh =Rm=Rgh=1.0 What is the equivalent resistance between points a and h? b.(12 pts)The three 12.0 resistors are replaced by identical capacitors.Ced=Cor=Ceg= 15.0 uF.A 12.0 V battery is attached across points a and h and the circuit is allowed to operate for a long period of time.What is the charge(Ocd.Os Oeg)on each capacitor after this long period of time? Copyright 2007,American Association of Physics TeachersCopyright © 2007, American Association of Physics Teachers Semi-Final Exam Part A A1. A group of 12 resistors is arranged along the edges of a cube as shown in the diagram below. The vertices of the cube are labeled a-h. a b c d f g h e a. (13 pts) The resistance between each pair of vertices is as follows: Rab = Rac = Rae = 3.0 Ω Rcg = Ref = Rbd = 8.0 Ω Rcd = Rbf = Reg = 12.0 Ω Rdh = Rfh = Rgh = 1.0 Ω What is the equivalent resistance between points a and h? b. (12 pts) The three 12.0 Ω resistors are replaced by identical capacitors. Ccd = Cbf = Ceg = 15.0 μF. A 12.0 V battery is attached across points a and h and the circuit is allowed to operate for a long period of time. What is the charge (Qcd, Qbf, Qeg) on each capacitor after this long period of time?