Calculating Capacitance and Charge in Connected Capacitors

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SUMMARY

The discussion focuses on calculating the equivalent capacitance and charge for a circuit of four capacitors: 15.0 µF, 3.0 µF, 20.0 µF, and 6.0 µF, connected in a specific configuration. The equivalent capacitance is determined using the formulas for capacitors in series and parallel, specifically Ceq = C1 + C2 for parallel and 1/Ceq = 1/C1 + 1/C2 for series. Participants confirm that the charge on capacitors in series is equal, and the charge can be calculated using Q = CV. The voltage across the capacitors is given as ΔVab = 15.0V.

PREREQUISITES
  • Understanding of capacitor configurations: series and parallel
  • Familiarity with capacitance calculations using Ceq = C1 + C2 and 1/Ceq = 1/C1 + 1/C2
  • Knowledge of the relationship between charge, capacitance, and voltage (Q = CV)
  • Basic circuit analysis skills
NEXT STEPS
  • Study the impact of different capacitor configurations on equivalent capacitance
  • Learn about the energy stored in capacitors and its relation to capacitance and voltage
  • Explore advanced circuit analysis techniques, such as mesh and nodal analysis
  • Investigate the effects of dielectric materials on capacitance
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Students in electrical engineering, physics enthusiasts, and anyone studying circuit theory who needs to understand capacitor behavior in various configurations.

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Homework Statement


Four capacitors are connected as shown here: http://i4.photobucket.com/albums/y103/thepastryman/HWa.jpg (a) Find the equivalent capacitance between points a and b (b) Calculate the charge on each capacitor, taking delta Vab= 15.0V

note: the actual numbers are not the same as those in the diagram. Stating from the top moving from left to right they are: 15.0 micro farads, 3 micro farads, 20 micro farads and 6 micro farads


Homework Equations


parallel: Ceq= C1+C2

series: Ceq=1/C1+1/C2


The Attempt at a Solution



I just used the above equations to find part a, is that right? For part b, would you just use Q=cv or is it more involved then that?
 
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tag16 said:
I just used the above equations to find part a, is that right? For part b, would you just use Q=cv or is it more involved then that?

I hope you used [tex]\frac{1}{C_{eq}}= \frac{1}{C_1}+\frac{1}{C_2}[/tex]

if you have 2 parallel capacitors you can just use Q = CV for both of them.

If you have 2 series capacitors, you need the fact the charge of a both of the capacitors is equal to the charge on their equivalent capacitors. (because the same current goes through all of them)
This also assumes all capacitors started uncharged.
 
This is what I did for part a: (1/C1+1/C2)^-1= (1/15microF+1/3microF)^-1= 1.42x10^-7

Ceq= 6microF+20microF+1.42x10^-7

is that right?

For part b I know for series capacitors that the charges are all equal I just don't know how that would effect the set up to my equation to solve the problem.
 

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