earning Goal: understand how to calculate capacitance, voltage, and charge for a parallel combination capacitors requently, several capacitors are connected together to form a collection of capacitors. We may be interested in determining the overall capacitance of such a collection. The mplest configuration to analyze involves capacitors connected in series or in parallel. lore complicated setups can often (though not always be treated by combining the rules or these two cases. Consider the example of a parallel combination of capacitors: Three apacitors are connected to each other and to a battery as shown in the figure. Eigure 1) he individual capacitances are C. 2C, and 3C, and the battery's voltage is V. ure 2C 3 4 3C $6 1 of 1 > If the potential of plate 1 is V. then, in equilibrium, what are the potentials of plates 3 and 87 Assume that the negative terminal of the battery is at zero potential. ▸ View Available Hint(s) COV and V O 2V and 3V O V and 0 Submit Part B If the charge of the first capacitor (the one with capacitance C) is Q. then what are the charges of the second and third capacitors? View Available Hint(s) O 20 and 30 of and O Q and Q 0 and 0 Submit Part C Suppose we consider the system of the three capacitors as a single "equivalent capacitor. Given the charges of the three individual capacitors calculated in the previous part, find the total charge Que for this equivalent capacitor Express your answer in terms of V and C. Qu Submit for Pangerved & Request Answer o for Part redo foc resor Part C keyboard shortcuts for Part C help r Pan C C

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.10OQ: (i) A battery is attached to several different capacitors connected in parallel. Which of the...
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▼
Part D
Using the value of Quo find the equivalent capacitance Coq for this combination of capacitors.
Express your answer in terms of C.
▸ View Available Hint(s)
Co
Submit
for Part for Partio for Part & redo fort D resor Part D keyboard shortcuts for Part D help for Part D
Transcribed Image Text:▼ Part D Using the value of Quo find the equivalent capacitance Coq for this combination of capacitors. Express your answer in terms of C. ▸ View Available Hint(s) Co Submit for Part for Partio for Part & redo fort D resor Part D keyboard shortcuts for Part D help for Part D
Capacitors in Parallel
Learning Goal:
To understand how to calculate capacitance, voltage, and charge for a parallel combination
of capacitors.
Frequently, several capacitors are connected together to form a collection of capacitors.
We may be interested in determining the overall capacitance of such a collection. The
simplest configuration to analyze involves capacitors connected in series or in parallel.
More complicated setups can often (though not always!) be treated by combining the rules
for these two cases. Consider the example of a parallel combination of capacitors: Three
capacitors are connected to each other and to a battery as shown in the figure. (Figure 1)
The individual capacitances are C, 2C, and 3C, and the battery's voltage is V.
Figure
2C
3 4
5
3C
6
< 1 of 1 >
▾
Part A
If the potential of plate 1 is V. then, in equilibrium, what are the potentials of plates 3 and 6? Assume that the negative terminal of the battery is at zero potential.
▸ View Available Hint(s)
O V and V
O 2V and 3V
O
V and 0
O
V
Submit
▾ Part B
If the charge of the first capacitor (the one with capacitance C) is Q, then what are the charges of the second and third capacitors?
▸ View Available Hint(s)
O 20 and 30
ਨੂੰ
O Q and Q
O 0 and 0
Submit
▾ Part C
and
Quot =
Submit
and
Suppose we consider the system of the three capacitors as a single "equivalent" capacitor. Given the charges of the three individual capacitors calculated in the previous part, find the total charge Quot for this
equivalent capacitor.
Express your answer in terms of V and C.
for Of
Part for Parto for Part redo forart Crestor Part C keyboard shortcuts for Part C help for Part C
vec
<15 of 19 (>
Request Answer
Review | Constants
Transcribed Image Text:Capacitors in Parallel Learning Goal: To understand how to calculate capacitance, voltage, and charge for a parallel combination of capacitors. Frequently, several capacitors are connected together to form a collection of capacitors. We may be interested in determining the overall capacitance of such a collection. The simplest configuration to analyze involves capacitors connected in series or in parallel. More complicated setups can often (though not always!) be treated by combining the rules for these two cases. Consider the example of a parallel combination of capacitors: Three capacitors are connected to each other and to a battery as shown in the figure. (Figure 1) The individual capacitances are C, 2C, and 3C, and the battery's voltage is V. Figure 2C 3 4 5 3C 6 < 1 of 1 > ▾ Part A If the potential of plate 1 is V. then, in equilibrium, what are the potentials of plates 3 and 6? Assume that the negative terminal of the battery is at zero potential. ▸ View Available Hint(s) O V and V O 2V and 3V O V and 0 O V Submit ▾ Part B If the charge of the first capacitor (the one with capacitance C) is Q, then what are the charges of the second and third capacitors? ▸ View Available Hint(s) O 20 and 30 ਨੂੰ O Q and Q O 0 and 0 Submit ▾ Part C and Quot = Submit and Suppose we consider the system of the three capacitors as a single "equivalent" capacitor. Given the charges of the three individual capacitors calculated in the previous part, find the total charge Quot for this equivalent capacitor. Express your answer in terms of V and C. for Of Part for Parto for Part redo forart Crestor Part C keyboard shortcuts for Part C help for Part C vec <15 of 19 (> Request Answer Review | Constants
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