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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. Eigure 1) The individual capacitances are C, 2C, and 3C, and the battery's voltage is V. Figure 12 ▬ 20 34 3C 56 <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 2V and 3V V and 0 O and 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) 20 and 3Q O Q and Q O 0 and 0 Submit ▾ Part C and Quot = 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 Quo for this equivalent capacitor. Express your answer in terms of V and C. for Pan for Pato for Part o for Pant Review | Constants redo for C redo foran C resor Part C keyboard shortcuts for Part C help for Part C

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. Eigure 1) The individual capacitances are C, 2C, and 3C, and the battery's voltage is V. Figure 12 ▬ 20 34 3C 56 <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 2V and 3V V and 0 O and 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) 20 and 3Q O Q and Q O 0 and 0 Submit ▾ Part C and Quot = 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 Quo for this equivalent capacitor. Express your answer in terms of V and C. for Pan for Pato for Part o for Pant Review | Constants redo for C redo foran C resor Part C keyboard shortcuts for Part C help for Part C

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 0-8-8- 5 2C 3C 2 4 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 V O and 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 O å ਨੂੰ and O Q and Q O 0 and 0 Submit V Part C Qual = 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 for this equivalent capacitor. Express your answer in terms of V and C. Review | Constants for Part C or Part Mo for Part redo for eart Crestor Part C. keyboard shortcuts for Part C help for Part C vec
Transcribed Image Text: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 0-8-8- 5 2C 3C 2 4 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 V O and 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 O å ਨੂੰ and O Q and Q O 0 and 0 Submit V Part C Qual = 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 for this equivalent capacitor. Express your answer in terms of V and C. Review | Constants for Part C or Part Mo for Part redo for eart Crestor Part C. keyboard shortcuts for Part C help for Part C vec
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) Coa for Part for Parto for Part&redo for at D reor Part D keyboard shortcuts for Part D help for Part D vec
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) Coa for Part for Parto for Part&redo for at D reor Part D keyboard shortcuts for Part D help for Part D vec
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