Capacitors , why cant series combination be used in an open circuit?

In summary, the question is about using the series combination formula for capacitors in an open circuit. While it is possible to find the equivalent capacitance, the initial charge also needs to be determined for the circuit to behave identically when the switch is closed. Simply adding the charges of the two capacitors together will result in an incorrect initial voltage. The correct equivalent capacitance is 1.2uF and the charge needs to be recalculated to achieve the correct initial voltage of 280V.
  • #1
K Dhiraj Bhak
13
0
Capacitors , why can't series combination be used in an open circuit??

they say we cannot apply series combination formula for the capacitors in an open circuit,,,but why?? why can't we find the equivalent capacitance in an open circuit?
 
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  • #2
what do you mean " in an open circuit "
show us a drawing of what you are referring to

cheers
Dave
 
  • #4
I refer you to the last part of this reply on that thread..

NascentOxygen said:
Certainly you can combine them. Regardless of all else, if they are in series then it's always true that 1/C = 1/C1 + 1/C2

That gives you the capacitance that behaves equivalently, but you have yet to determine the initial charge it should have so as to lead to identical circuit current & voltage when the switch gets closed.

In short.. You can find the equivalent capacitance BUT you also need to find the correct equivalent charge.

Hint: You cannot just add the two charges together. If you do that the initial voltage will be wrong. The equivalent capacitance it 1.2uF. You calculated the charge to be 660μC so the initial voltage would be 660μC/1.2uF = 550V. That's wrong, it should be 100+180=280V according to the problem statement. Recalculate the correct charge.
 
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  • #5


This is because in an open circuit, there is no complete path for the current to flow through the capacitors. In a series combination, the capacitors are connected end to end, and the current flows through each capacitor in succession. However, in an open circuit, there is no current flowing through the capacitors, so the equivalent capacitance cannot be determined. Additionally, an open circuit means that there is no connection between the two plates of the capacitors, so there is no way for charge to build up on the plates and for the capacitors to store energy. In order for series combination to work, there needs to be a complete circuit for the current to flow through.
 

1. What is a capacitor?

A capacitor is an electronic component that stores electric charge and is commonly used in electronic circuits to regulate the flow of electricity.

2. How does a capacitor work?

A capacitor works by storing electric charge between two conductive plates separated by an insulating material, also known as a dielectric. When a voltage is applied across the capacitor, one plate accumulates positive charge while the other accumulates negative charge.

3. What is the purpose of capacitors in a circuit?

Capacitors have a variety of uses in electronic circuits, including storing energy, smoothing out voltage fluctuations, and blocking or passing certain frequencies of electric current.

4. Why can't series combination of capacitors be used in an open circuit?

In a series combination of capacitors, the total capacitance is equal to the reciprocal of the sum of the reciprocals of each individual capacitor. In an open circuit, the current is zero, meaning that the capacitance of the entire series combination would also be zero, rendering it useless.

5. Can capacitors in a series combination be used in a closed circuit?

Yes, capacitors in a series combination can be used in a closed circuit. However, the total capacitance will be less than the capacitance of the individual capacitors. This is because the effective capacitance of capacitors in series is always less than the smallest individual capacitance.

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