Find the individual charge (and potential difference?) on each capacitor

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Homework Help Overview

The problem involves four capacitors connected in a circuit, with a focus on determining the equivalent capacitance between two points and calculating the charge on each capacitor given a specific voltage. The subject area pertains to circuit analysis and capacitor behavior.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of equivalent capacitance and the application of formulas related to charge and voltage across capacitors in series and parallel configurations. Questions arise regarding how to determine individual charges and voltages across the capacitors.

Discussion Status

Some participants have confirmed the correctness of initial calculations and suggested further steps to find total capacitance and charge. There is an acknowledgment of the relationships between charge and voltage for capacitors in series and parallel, but no explicit consensus on the final calculations has been reached.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. The original poster expresses uncertainty about the calculations and the application of formulas.

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Homework Statement



Four capacitors are connected as shown in the figure below. (Let C = 18.0 µF.)
26-p-023-alt.gif


Find the equivalent capacitance between points a and b

Calculate the charge on each capacitor, taking ΔVab = 17.0 V

Homework Equations


Q = CΔV

C = Q / ΔVΔV1 = ΔV2 = ΔVtot (for parallel capacitors)

Q tot = Q1 + Q2 (charge on parallel capacitors, it says)ΔVtot = ΔV1 + ΔV2 (for series capacitors)

Q = Q1 = Q2 (charge on series capacitors, it says)

The Attempt at a Solution


The only thing I could solve was the equivalent capacitance across, which is 6 x 10-6

And I broke it up like this (and it's correct):
http://desmond.imageshack.us/Himg213/scaled.php?server=213&filename=prob1m.jpg&res=landing I have NO IDEA at all how to determine the individual charge on each of them, even with the formulas...

I can see ΔV across series is supposed to add up to 17V but no idea how.

Where should I start on that?Edit: ok used Q = CV for the (20 x 10-6 f) capacitor and got (102 x 10-6 C) because charge is supposed to be the same across series
 
Last edited by a moderator:
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What you have done so far is correct...now find the total capacitance of the 2 in series... (You were able to find the equivalent of C and the 3uF in series !) then you should be able to get the total charge.
 
Last edited:
ok i got them all

you need to just mainly worry about using total charge Q = Q1 = Q2 for series capacitors and V tot = V1 = V2 for parallel capacitors, just to find the individual potentials / charges.

Then you need to work your way down with these and the other two formulas.
 
thats correct !
 

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