When two or more different capacitors are connected in series across a potential source, which of the following statements must be true?
answer
The total voltage across the combination is the algebraic sum of the voltages across the individual capacitors.
Each capacitor carries the same amount of charge.
The equivalent capacitance of the combination is less than the capacitance of any of the capacitors.
question
Three identical capacitors are connected in series across a potential source (battery). If a charge of Q flows into this combination of capacitors, how much charge does each capacitor carry?
answer
Q
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Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry?
answer
Q/3
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When two or more different capacitors are connected in parallel across a potential source (battery), which of the following statements must be true?
answer
The capacitor with the largest capacitance has the most charge.
The potential difference across each capacitor is the same.
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A 5-μF, a 7-μF, and an unknown capacitor CX are connected in parallel between points a and b as shown in the figure. What do you know about the equivalent capacitance Cab between a and b?
answer
Cab > 12 μF
Cab > CX
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Four unequal resistors are connected in series with each other. Which one of the following statements is correct about this combination?
answer
The equivalent resistance is more than the largest resistance.
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When unequal resistors are connected in parallel in a circuit
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the potential drop is always the same across each resistor.
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Identical light bulbs can be attached to identical ideal batteries in three different ways
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B, A, C
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A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in parallel with the first one, the time constant of the new RC circuit will be
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three times a large as before. D) one-half as large as before. E) one-fourth as large as before.
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A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in series with the first one, the time constant of the new RC circuit will be
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smaller than before
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A charged capacitor is connected in series with a resistor and an open switch. At time t = 0 s, the switch is closed. Which of the graphs below best describes the charge Q on the capacitor as a function of time t?
answer
Exponential Decrease (Curved downward slope)
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A 4.0-μF capacitor and an 8.0-μF capacitor are connected together. What is the equivalent capacitance of the combination if they are connected
(a) in series or (b) in parallel?
answer
(a) 2.7 μF
(b) 12.0 μF
question
A network of capacitors is connected across a potential difference V0 as shown in the figure.
(a) What should V0 be so that the 60.0-μF capacitor will have 18.0 μC of charge on each of its plates?
(b) Under the conditions of part (a), how much total energy is stored in this network of capacitors?
answer
(a) 1.50 V
(b) 13.5 μJ
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A 5.0-μF capacitor and a 7.0-μF capacitor are connected in series across an 8.0-V potential source. What is the potential difference across the 5.0-μF capacitor?
answer
4.7 V
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A 2.0-μF capacitor and a 4.0-μF capacitor are connected in series across an 8.0-V potential source. What is the charge on the 2.0-μF capacitor?
answer
11 μC
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Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?
answer
1.7 μF
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Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. C1has a capacitance 9pF, C2 has a capacitance of 18pF, and C3 has a capacitance of 27 pF. Find the potential drop across the entire arrangement if the potential drop across C2is 257 V.
What is the time constant for the discharge of the capacitor in the following figure?
answer
About 2 ms
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After how many time constants has the voltage across a discharging capacitor decayed to 0.1% of its initial value?
answer
About 7 time constants
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A 10 x 10^-6 F capacitor initially charged to 20 x 10^-6C is discharged through a 1kohm resistor. How long does it take to reduce the capacitor's charge to 10 x 10^-6C?
answer
About 6.9ms
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