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 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 Part D Using the value of Qtot, find the equivalent capacitance Ceq for this combination of capacitors. Express your answer in terms of C. ▸ View Available Hint(s) Figure 2C 3 3C 5」6 1 of 1 O Submit and ΜΕ ΑΣΦ Ceq= ? 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) 2Q and 3Q and Part C OQ and Q O 0 and 0 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 Qtot for this equivalent capacitor. Express your answer in terms of V and 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 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 Part D Using the value of Qtot, find the equivalent capacitance Ceq for this combination of capacitors. Express your answer in terms of C. ▸ View Available Hint(s) Figure 2C 3 3C 5」6 1 of 1 O Submit and ΜΕ ΑΣΦ Ceq= ? 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) 2Q and 3Q and Part C OQ and Q O 0 and 0 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 Qtot for this equivalent capacitor. Express your answer in terms of V and C.
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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
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
Part D
Using the value of Qtot, find the equivalent capacitance Ceq for this combination of capacitors.
Express your answer in terms of C.
▸ View Available Hint(s)
Figure
2C
3
3C
5」6
1 of 1
O
Submit
and
ΜΕ ΑΣΦ
Ceq=
?
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)
2Q and 3Q
and
Part C
OQ and Q
O 0 and 0
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 Qtot for this equivalent capacitor.
Express your answer in terms of V and C.
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