Capacitors in Series: Why No Current Flow?

In summary: C1 with left plate of C2 and the connecting wire between them becomes an equipotential,that is there is no potential difference between C1 and C2.If the left and right plates of C1 are +ve and -ve charged respectively and the left and right plates of C2 are +ve and -ve charged respectively then why doesn't the current flow from the right plate of C1 to the left plate of C2 when they are connected in series?This is because the current flow is determined by the potential difference between the plates. If the plates have a potential difference of 12 volts, then the current will flow from the right plate of C1 to
  • #1
Pranav Jha
141
1
----C1------C2------

If the left and right plates of C1 are +ve and -ve charged respectively and the left and right plates of C2 are +ve and -ve charged respectively then why doesn't the current flow from the right plate of C1 to the left plate of C2 when they are connected in series?
 
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  • #2
What do you mean doesn't flow?

The only way for both to become charged is for current to flow. If they are both charged, then current has flowed.
 
  • #3
I meant won't connecting the two fully charged capacitors together via a connecting wire result in a current to flow from one capacitor to another?
 
  • #4
So you're talking about shorting the circuit? Or are you leaving each end open as in your picture?
 
  • #5
will leaving the ends open make any difference? shouldn't a complete path between the negative plate of one capacitor and the positive plate of another capacitor be enough to result in a current flow from the negative plate of the first to the positive plate of the second?
 
  • #6
If they are fully charged, no current will flow.
 
  • #7
Once fully charged the combination of right plate of C1 with left plate of C2 and the connecting wire between them becomes an equipotential,that is there is no potential difference between C1 and C2.
Think of say an electron on the right plate of C1.This is repelled by the other electrons on that plate and on the right plate of C2 but attracted to the positive charges on the other two plates,the resultant force being zero.
 
  • #8
suppose we have a capacitor fully charged that is connected across a p.d of 12 volts. Now, if we add another capacitor in series, the potential of 12V will be divided across the two capacitors. So, the charge is in excess in the first capacitor for the new reduced voltage across it. So, will the current now flow from the first capacitor to the new second capacitor?
 
  • #9
Dadface said:
Once fully charged the combination of right plate of C1 with left plate of C2 and the connecting wire between them becomes an equipotential,that is there is no potential difference between C1 and C2.
Think of say an electron on the right plate of C1.This is repelled by the other electrons on that plate and on the right plate of C2 but attracted to the positive charges on the other two plates,the resultant force being zero.

that does make sense in the terms of electrical forces :D
 
  • #10
Pranav Jha said:
----C1------C2------

If the left and right plates of C1 are +ve and -ve charged respectively and the left and right plates of C2 are +ve and -ve charged respectively then why doesn't the current flow from the right plate of C1 to the left plate of C2 when they are connected in series?

Because you are forgetting that there is a voltage drop across each capacitor. Let's say that there is a potential difference of 12 volts across the entire circuit. If you had a voltmeter and put it on the terminals of C1 you would find a drop of 6 volts and you would find the same drop across the terminals of C2, assuming that they are of equal capacitance. The charges do not flow because there is a 6 volt potential opposing them.
 
  • #11
Pranav Jha said:
suppose we have a capacitor fully charged that is connected across a p.d of 12 volts. Now, if we add another capacitor in series, the potential of 12V will be divided across the two capacitors. So, the charge is in excess in the first capacitor for the new reduced voltage across it. So, will the current now flow from the first capacitor to the new second capacitor?

If you could break and reform the circuit without discharging the capacitor and they were of equal capacitance half of the charge would flow from one to the other. The total potential across the two would still be 12 volts. Each capacitor would have a drop of 6 volts across it.
 

1. What is a capacitor in series?

A capacitor in series is when two or more capacitors are connected in a circuit in a line, with one end of each capacitor connected to the other. This creates a single path for the current to flow through all the capacitors.

2. Why is there no current flow in a series capacitor circuit?

In a series capacitor circuit, the capacitors are connected in a line, which means the same amount of charge must pass through each capacitor. As capacitors in series have the same voltage across them, the charge is evenly distributed between them. This results in the current being the same throughout the circuit, which means there is no current flow through individual capacitors.

3. How does a series capacitor circuit affect the total capacitance?

In a series capacitor circuit, the total capacitance is less than the individual capacitance of each capacitor. This is because the total capacitance is inversely proportional to the sum of the individual capacitances. In other words, the more capacitors connected in series, the lower the total capacitance will be.

4. Can capacitors in series be replaced with a single equivalent capacitor?

Yes, capacitors in series can be replaced with a single equivalent capacitor, which has the same total capacitance as the series combination. The equivalent capacitor is calculated by taking the reciprocal of the sum of the reciprocals of each individual capacitance. This is known as the series capacitance formula.

5. Are there any practical applications of capacitors in series?

Yes, capacitors in series have several practical applications. They are commonly used in electronic circuits to create a voltage divider, where the voltage across each capacitor can be adjusted to achieve a specific output voltage. They are also used in power supplies to filter out unwanted noise and smooth the output voltage, as well as in AC circuits to improve power factor and reduce harmonic distortion.

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