Charge on Capacitors in Series with 24V Potential Difference

In summary, two capacitors with values of 2.0*10^-6 F and 6.0*10^-6 F are charged up with a potential difference of 24 volts and connected in series in a closed circuit. The total capacitance of the system is used to calculate the final charge on each capacitor, which is found to be equal to what it would have been if the capacitors were just sitting by themselves. The charges do not distribute themselves equally over both plates in this scenario. This is similar to connecting two capacitors in parallel with opposite polarities. Redrawing the circuit with the capacitors on the left and right sides shows the application of KVL and how it affects the final voltage on each capacitor. It
  • #1
gralla55
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To capacitors are charged up with a potential difference of 24 volts, and then connected in series in a closed circuit. What is the final charge on each capacitor? C1 = 2,0*10^-6 F and C2 = 6,0*10^-6 F

What I did was to compute the total capacitance of the system, and use that to figure out the charge on the capacitor, which would have to be the same on both of them. Or so I thought, the answer in my book says that the charge on each capacitor is just equal to what it would have been if it was just sitting by itself. Why won't the charges distribute themselves equally over both plates in this scenario?
 

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  • #2
Have you done a similar question involving two capacitors charged and then connected in parallel? This is the same except that one capacitor is charged with the oposite polarity (eg one +24V and the other -24V).

Redraw it with the caps on the left and right sides of the circuit.

What does KVL it tell you about the final voltage on each capacitor?
 
  • #3
PS There are two ways to connect two capacitors in series. You have shown then both with +ve on the left. Is that how it's drawn in the book? What if one had +ve on the right?
 

FAQ: Charge on Capacitors in Series with 24V Potential Difference

What is the formula for calculating charge on capacitors in series?

The formula for calculating the charge on capacitors in series is Q = CV, where Q is the charge, C is the capacitance, and V is the potential difference.

Can the charge on capacitors in series be greater than the potential difference?

No, the charge on capacitors in series cannot be greater than the potential difference. The charge on capacitors in series will always be less than or equal to the potential difference.

How does connecting capacitors in series affect the total charge?

Connecting capacitors in series decreases the total charge on each individual capacitor. The total charge on capacitors in series is divided among each capacitor, resulting in a lower charge on each one.

What happens to the potential difference when capacitors are connected in series?

The potential difference remains the same when capacitors are connected in series. The total potential difference is distributed among each capacitor, so the overall potential difference remains unchanged.

Can capacitors in series have different capacitances?

Yes, capacitors in series can have different capacitances. However, the total capacitance of capacitors in series is less than the smallest individual capacitance. This is due to the fact that the total capacitance is inversely proportional to the sum of the individual capacitances.

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