Learning Goal: To understand how to calculate capacitance, voltage, and charge f

Question

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?

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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?

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Part C

Find the voltage ?V1 across the first capacitor.

Express your answer in terms of ?V.

6?V11

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Part D

Find the charge Q on the first capacitor.

Express your answer in terms of C and ?V1.

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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.

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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

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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

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Correct

Part C

Find the voltage ?V1 across the first capacitor.

Express your answer in terms of ?V.

?V1 =

6?V11

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All attempts used; correct answer displayed

Part D

Find the charge Q on the first capacitor.

Express your answer in terms of C and ?V1.

Q =

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Incorrect; Try Again; 4 attempts remaining

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 =

Submit

Explanation / Answer

PART A. +Q AND -Q

PART B. V1 / 2 AND V1 / 3

PARTC.THE EQUIVALENT CAPACITANCE = 6CV/11. SO V1 = Q / C = 6V /11 SINCE Q IS CONSTANT IN SERIES.

PARTD. Q= CV1

PARTE. 1 / Ceq = 1/ C + 1/ 2C + 1/3C => C = 6C /11eq

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