Capacitors in Series Learning Goal: To understand how to calculate capacitance,

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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 ?V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. 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 ?V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. 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 ?V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Learning Goal: To understand how to calculate capacitance, voltage, and charge for a combination of capacitors connected 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 ?V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Provide FeedbackContinue Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Correct Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Correct Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again ?V1 = ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Incorrect; Try Again Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Q = Q = SubmitMy AnswersGive Up Incorrect; Try Again Incorrect; Try Again Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Ceq = Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Incorrect; Try Again Incorrect; Try Again Provide FeedbackContinue Figure 1 of 1 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 ?V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Part A What are the charges on plates 3 and 6? +Q and +Q ?Q and ?Q +Q and ?Q ?Q and +Q 0 and +Q 0 and ?Q SubmitHintsMy AnswersGive UpReview Part Correct Part B If the voltage across the first capacitor (the one with capacitance C) is ?V1, then what are the voltages across the second and third capacitors? 2?V1 and 3?V1 12?V1 and 13?V1 ?V1 and ?V1 0 and ?V1 SubmitHintsMy AnswersGive UpReview Part Correct Part C Find the voltage ?V1 across the first capacitor. Express your answer in terms of ?V. ?V1 = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Part D Find the charge Q on the first capacitor. Express your answer in terms of C and ?V1. Q = SubmitMy AnswersGive Up Incorrect; Try Again Part E Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C. Ceq = SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again Provide FeedbackContinue Figure 1 of 1

Explanation / Answer

3 is V = V1 V3 V4 = Q(1/C 1/2C 1/3C) --> V/Q = 11/6C --> V=Q/C=6V/11

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