Equivalent Capacitance in a circuit

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Homework Help Overview

The discussion revolves around calculating the equivalent capacitance of a circuit containing four capacitors with specified capacitances and a voltage source. The problem involves understanding the configuration of capacitors in series and parallel.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the original poster's approach to calculating equivalent capacitance, questioning whether the series and parallel configurations were correctly identified. There are inquiries about the method used to combine the capacitances and the correctness of the equations applied.

Discussion Status

There is ongoing exploration of the original poster's calculations, with some participants suggesting that the series and parallel actions may have been misapplied. Multiple interpretations of the circuit configuration are being considered, and participants are engaging in clarifying the addition of capacitors in different configurations.

Contextual Notes

Participants note that the original poster's calculations yielded a result that was marked incorrect by an online homework system, prompting further examination of the setup and assumptions regarding the circuit.

carpelumen
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Homework Statement


In the circuit shown in the figure the voltage of the battery is 15.0 V, and the capacitors have the following capacitances: C1 = 2.32 mF, C2 = 2.25 mF, C3 = 4.85 mF, C4 = 4.89 mF
What is the equivalent capacitance of the four capacitors?

http://tinypic.com/r/24dn5oi/8
Two sets of series capacitors that are parallel to each other

Homework Equations


Ceq=(1/C1+1/C2+1/C3...)^-1 ---- series
Ceq=(C1+C2+C3...) --- parallel

The Attempt at a Solution


Ceq=(C1+C3)(C2+C4)/(C1+C2+C3+C4)
=(7.17)(7.14) / 14.31
= 3.58 mF

According to online homework system, it's wrong. Is my equation incorrect?
 
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I think you've got the series/parallel actions backwards. Do capacitors add directly when in series or when in parallel?
 
Perhaps show us how you got...

Ceq=(C1+C3)(C2+C4)/(C1+C2+C3+C4)
 
I think you've got the series/parallel actions backwards. Do capacitors add directly when in series or when in parallel?

I don't think that's his problem because his relevant equations..

Ceq=(1/C1+1/C2+1/C3...)^-1 ---- series
Ceq=(C1+C2+C3...) --- parallel

... are correct. Capacitors add in parallel.
 
CWatters said:
... are correct. Capacitors add in parallel.

Right, which is what led me to wonder how he got a term (c1+c3)
 
Is the answer near 3.13 mF
 
harley davidson said:
Is the answer near 3.13 mF
Very close to that, yes.
 
Even closer to 3.11 :)
 

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