Capacitor Network: C1,C2 & C3 in Series & Parallel

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SUMMARY

The discussion focuses on calculating the net capacitance of a capacitor network consisting of capacitors C1 and C2 in series, connected in parallel with capacitor C3. The equivalent capacitance for capacitors in series is calculated using the formula 1/Ceq = 1/C1 + 1/C2, resulting in an intermediate capacitance value. This value is then added to the capacitance of C3 using the formula Ceq = Cseries + C3. The specific capacitance values provided are C1 = 2.98 μF, C2 = 4.15 μF, and C3 = 1.64 μF, with a voltage of 26.0 V applied across the network.

PREREQUISITES
  • Understanding of capacitor configurations: series and parallel
  • Familiarity with capacitance formulas: Q=CV, Ceq calculations
  • Basic knowledge of electrical circuits and voltage distribution
  • Ability to perform calculations with microfarads (μF)
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  • Learn how to calculate equivalent capacitance for complex capacitor networks
  • Explore voltage division in series circuits
  • Study the impact of capacitor values on overall circuit behavior
  • Investigate the applications of capacitors in filtering and timing circuits
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Electrical engineering students, hobbyists working on circuit design, and anyone involved in analyzing capacitor networks for practical applications.

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Homework Statement


Capacitors C1 and C2 are connected in series and this combination is connected in parallel with capacitor C3.
HW8_2.jpg

Homework Equations


Q=CV
Ceq=C1+C2+C3 equivalent capacitance for capacitors in parallel
1/Ceq=1/C1+1/C2+1/C3 equivalent capacitance for capacitors in series

The Attempt at a Solution


The question says that C1 and C2 are connected in series, so I would use the second equation, so I would have 1/C=1/C1+1/C2, but then I don't know how I would add that to C3.
 
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Say you get x for the series connection and y is the capacitance of C3, the total capacitance equals x+y.
 
what is the problem statement?
 
rude man said:
what is the problem statement?
I'm sorry, I thought I had stated this. The question is: What is the net capacitance?
If 26.0 V is applied across the whole network, calculate the voltage across each capacitor. Use the numerical values of capacitance given, C1 = 2.98 μF, C2 = 4.15 μF, and C3 = 1.64 μF.
 

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