Charge on capacitors in parallel and series

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SUMMARY

The discussion focuses on calculating the charge on individual capacitors in both series and parallel configurations. For capacitors in series, the total charge is conserved, and the formula used is q = C1V, where C1 is the capacitance of the capacitor and V is the total voltage. In contrast, for capacitors in parallel, the total charge is the sum of the individual charges, calculated using q = CV for each capacitor. The equivalent capacitance for a series circuit is determined using the formula 1/Ceq = 1/C1 + 1/C23, where C23 is the equivalent capacitance of capacitors in parallel.

PREREQUISITES
  • Understanding of basic capacitor concepts
  • Familiarity with series and parallel circuit configurations
  • Knowledge of capacitance and voltage relationships
  • Ability to apply formulas for charge calculation (q = CV)
NEXT STEPS
  • Study the derivation of the equivalent capacitance formula for series and parallel capacitors
  • Learn about charge conservation principles in electrical circuits
  • Explore practical applications of capacitors in electronic circuits
  • Investigate the impact of varying capacitance values on charge distribution
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Students, electrical engineers, and hobbyists interested in understanding capacitor behavior in circuits, particularly those working with series and parallel configurations.

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How do I find the charge on each capacitor?

-------c1----------------------
|......|...|
|......|...|
V......c2...c3
|_______________|__________|

I know how to find the total charge which would be q=Ceq*v but I don't know how to find the charge on each individual capacitor.
 
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Do you know how to find C_{eq}? Add up the capacitors in parallel (simply add the capacitances). This will give you C_2 + C_3. This new equivalent capacitance is in series with C_1. Use the series formula \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_{23}} After you have found the total equivalent capacitance you can get the total charge, and find the individual charges from there. I don't know if that will help you any.

As a hint, charge is conserved across capacitors in series (the equivalent charge is the same for each capacitor) but with capacitors in parallel you have to add the individual charges to get the total charge.
 
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In order to find the charge on each individual capacitor, you can use the formula q = CV, where q is the charge, C is the capacitance, and V is the voltage.

For capacitors in series, the voltage across each capacitor is the same, so you can use the total voltage (V) and the individual capacitance (C) to find the charge on each capacitor.

For capacitors in parallel, the charge is divided among the capacitors based on their individual capacitance. So, you can use the total charge (q) and the individual capacitance (C) to find the charge on each capacitor.

In the circuit shown, the total charge (q) is the same for all three capacitors. So, for c1, you can use the formula q = C1V, where C1 is the capacitance of c1 and V is the voltage across all three capacitors. Similarly, for c2 and c3, you can use the formulas q = C2V and q = C3V, respectively.

It is important to note that the voltage across each capacitor in a parallel circuit is the same, while in a series circuit, the charge is the same. So, depending on the type of circuit, you can use the appropriate formula to find the charge on each individual capacitor.
 

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