Charge and potential differnecr in a mixed circuit

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SUMMARY

The discussion focuses on calculating the charge, potential difference, and stored energy in a mixed circuit involving capacitors C1 (11.0 µF), C2 (7.00 µF), and C3 (3.00 µF) with a potential difference of 100 V. The charge on capacitors C1 and C2, which are in series, is determined to be 23.4 microCoulombs. The participants emphasize the importance of finding the equivalent capacitance of the entire circuit before applying the voltage to accurately determine the charge on capacitor C3 and the overall stored energy.

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  • Understanding of capacitor arrangements (series and parallel)
  • Knowledge of capacitance calculations and formulas
  • Familiarity with the concept of potential difference in electrical circuits
  • Ability to apply the formula for equivalent capacitance in mixed circuits
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  • Calculate the equivalent capacitance of capacitors C1 and C2 in series.
  • Determine the total stored charge in the circuit using the equivalent capacitance.
  • Analyze the charge distribution between the branches of the circuit.
  • Explore energy storage calculations for capacitors in mixed configurations.
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Homework Statement


a potential difference V = 100 V is applied across a capacitor arrangement with capacitances C1 = 11.0 µF, C2 = 7.00 µF, and C3 = 3.00 µF. Find the following values Charge on each capacitor, potential difference on each capacitor, and stored energy in Joules.

The circuit is set up with battery and then a mixed series and parallel. C1 and C2 are in a series on a branch and C3 is on a separate branch in parallel with both C1 and C2.

Homework Equations


In a series I find charge with (1/c1 + 1/c2) = q/v looking for q. I plugged in (1/11 + 1/7) = q/100. SOlved and got a charge of 23.4 microCoulombs each on C1 and C2.

So now I am stuck I thought I solved the series first and then used that combine capacitance to find the charge on C3. Help
 
Last edited:
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I would suggest finding the equivalent capacitance of all of them before applying voltage.

As I read your problem you have C1 and C2 in series with each other but taken together in parallel with C3. With the value of the effective capacitance you can calculate total stored charge in the system. Then maybe work backwards splitting the charge between the two branches could give you some insight?
 

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