MasteringPhysics: Ch 24 HWa Capacitance - le Chrome https://session.masteringphy

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MasteringPhysics: Ch 24 HWa Capacitance - le Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemID=58012541&offset-prev; Reinemer202w16 Signed in as Nicolay Pekhotin HelpClose HWa Capacitanc Problem 24.30 Resources previous | 15 of 18 | next » Problem 24.30 Part A Suppose in the figure(Figure 1) that C,-C3 C3 51.2F and C-58ApF If the charge on C2 is Q2 69.7m: determine the charge on each of the other capacitors Enter your answers numerically separated by commas. AC Submit My Answers Give Up Part B Determine the voltage across each capacitor Enter your answers numerically separated by commas Submit My Answers Give Up Part C Figure 1 of 1 Determine the voltage Vab across the entire combination Submit My Answers Give Up Continue 9:07 PM 2/3/2016

Explanation / Answer

given are
C1=C2=C3=51.2uF
C4=58.4uF
Q1=68.7
Since the capacitors C1 and C2 are in series, the charges on each must be
equal
Q1=Q2=69.7uC
C1 and C2 must be equal to the voltage across
V3 = V1 + V2
Q3/C3=Q1/C2+Q1/C1
Q3=2*(Q1)
=2*68.7uC
Q3=137.4uC
C4 is connected to the
positive plates of C1 and C3, their charges must be equal
Q4=Q1+Q3
=209.1uC
Q = CV
V1 = V2 =Q1/C=69.7uC/58.4uC=1.19V
V3=Q3/C3=137.4uC/58.4uC=2.35 V
V4=Q4/C4=209.1/58.4
=3.58 V
c)Vab=V4+V3=V1+V2+V4
Vab=V1+v2-v3
=1.19+1.19-2.35
=0.03 V

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