Learning Goal: To understand how to calculate capacitance, voltage, and charge for a combination of capacitors connected in series. Consider the combination of capacitors shown in the figure.(Eigure 1) Three capacitors are connected to each other in series, and then to the battery. The values of the capacitances are C, 2C, and 3C, and the applied voltage is AV. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Figure -e C 12 2C 34 ΔΙ 3C 56 < 1 of 1 > Part A What are the charges on plates 3 and 6? ▸ View Available Hint(s) O+Q and +Q O -Q and-Q O +Qand-Q O-Q and +Q O 0 and +Q O 0 and Q Submit ▾ Part B If the voltage across the first capacitor (the one with capacitance C) is AV₁, then what are the voltages across the second and third capacitors? ▸ View Available Hint(s) O2AV₁ and 3AV OAV₁ and AV O AV₁ and AVI O 0 and AV Submit Part C Find the voltage AV₁ across the first capacitor. Express your answer in terms of AV. ▸ View Available Hint(s) AV₁ = for Part for Part do for Part redo fokart C resor Part C keyboard shortcuts for Part C help for Part C vec P Pearson 1 Rew

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Capacitors in Series
Learning Goal:
To understand how to calculate capacitance, voltage, and charge for a combination of
capacitors connected in series.
Consider the combination of capacitors shown in the figure. (Figure 1) Three capacitors are
connected to each other in series, and then to the battery. The values of the capacitances
are C, 2C, and 3C, and the applied voltage is AV. Initially, all of the capacitors are
completely discharged; after the battery is connected, the charge on plate 1 is Q.
Figure
+Q
15
C
-T
12
2C
34
L
AV
3C
56
< 1 of 1 >
▾
Part A
What are the charges on plates 3 and 6?
▸ View Available Hint(s)
O +2 and +Q
O-Q and Q
Q+Qand-Q
O-Q and +Q
O 0 and +Q
O 0 and Q
Submit
Part B
If the voltage across the first capacitor (the one with capacitance C) is AV₁, then what are the voltages across the second and third capacitors?
▸ View Available Hint(s)
O2AV₁ and 3AV
OAV₁ and AVI
O AV₁ and AV
O 0 and AVI
Avi
Submit
Part C
Find the voltage AV₁ across the first capacitor
Express your answer in terms of AV.
▸ View Available Hint(s)
AV₁ =
for Part for Part do for Part redo folet Cresor Part C keyboard shortcuts for Part C help for Part C
vec
P Pearson
(<
Rew
Transcribed Image Text:Capacitors in Series Learning Goal: To understand how to calculate capacitance, voltage, and charge for a combination of capacitors connected in series. Consider the combination of capacitors shown in the figure. (Figure 1) Three capacitors are connected to each other in series, and then to the battery. The values of the capacitances are C, 2C, and 3C, and the applied voltage is AV. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Figure +Q 15 C -T 12 2C 34 L AV 3C 56 < 1 of 1 > ▾ Part A What are the charges on plates 3 and 6? ▸ View Available Hint(s) O +2 and +Q O-Q and Q Q+Qand-Q O-Q and +Q O 0 and +Q O 0 and Q Submit Part B If the voltage across the first capacitor (the one with capacitance C) is AV₁, then what are the voltages across the second and third capacitors? ▸ View Available Hint(s) O2AV₁ and 3AV OAV₁ and AVI O AV₁ and AV O 0 and AVI Avi Submit Part C Find the voltage AV₁ across the first capacitor Express your answer in terms of AV. ▸ View Available Hint(s) AV₁ = for Part for Part do for Part redo folet Cresor Part C keyboard shortcuts for Part C help for Part C vec P Pearson (< Rew
Part D
Find the charge on the first capacitor.
Express your answer in terms of C and AV₁.
Submit Request Answer
Part E
for Part D for Part do for Part & redo fo Cart D reor Part D keyboard shortcuts for Part D help for Part D
vec
Using the value of Q just calculated, find the equivalent capacitance Ce for this combination of capacitors in series.
Express your answer in terms of C.
▸ View Available Hint(s)
Coa
Submit
for Partfoy Patio for Part redo folert E re@or Part E keyboard shortcuts for Part E help for Part E
Transcribed Image Text:Part D Find the charge on the first capacitor. Express your answer in terms of C and AV₁. Submit Request Answer Part E for Part D for Part do for Part & redo fo Cart D reor Part D keyboard shortcuts for Part D help for Part D vec Using the value of Q just calculated, find the equivalent capacitance Ce for this combination of capacitors in series. Express your answer in terms of C. ▸ View Available Hint(s) Coa Submit for Partfoy Patio for Part redo folert E re@or Part E keyboard shortcuts for Part E help for Part E
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