Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
19
DC Circuits
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19-1: Emf and Terminal Voltage
19-2: Resistors in Series and Parallel
19-3: Kirchhoff's Rules
19-4: Emfs Combined, Battery Charging
19-5: Capacitors in Series and Parallel
19-6: RC Circuits
19-8: Ammeters and Voltmeters

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 57
Q

Consider the circuit shown in Fig. 19–71, where all resistors have the same resistance RR. At t = 0, with the capacitor CC uncharged, the switch is closed.

  1. At t = 0, the three currents can be determined by analyzing a simpler, but equivalent, circuit. Draw this simpler circuit and use it to find the values of I1I_1, I2I_2, and I3I_3 at t = 0.
  2. At t=t = \infty, the currents can be determined by analyzing a simpler, equivalent circuit. Draw this simpler circuit and implement it in finding the values of I1I_1, I2I_2, and I3I_3 at t=t = \infty.
  3. At t=t = \infty, what is the potential difference across the capacitor?
Problem 57.
Figure 19-71.
A
  1. I1=2ξ3R,I2=I3=ξ3RI_1 = \dfrac{2\xi}{3R}, I_2 = I_3 = \dfrac{\xi}{3R}
  2. I1=I2=ξ2R,I3=0I_1 = I_2 = \dfrac{\xi}{2R}, I_3 = 0
  3. I3=0,Vc=ξ2I_3 = 0, V_c = \dfrac{\xi}{2}
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