Determine the voltage across the 9.00-µF capacitor

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    Capacitor Voltage
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Homework Help Overview

The problem involves a circuit with capacitors, specifically a 3.00-µF and a 5.00-µF capacitor in series with a 30.0-V battery, and a 9.00-µF capacitor connected in parallel with the 3.00-µF capacitor. The goal is to determine the voltage across the 9.00-µF capacitor.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the behavior of capacitors in series and parallel, questioning how voltage is distributed among them. There is an exploration of effective capacitance and voltage drops across the capacitors.

Discussion Status

Some participants have provided guidance on understanding the relationships between series and parallel capacitors, while others are attempting calculations related to effective capacitance and voltage distribution. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There is a mention of ensuring that charge and voltage units are correctly used in calculations. The original poster expresses uncertainty about how to approach the problem.

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A 3.00-µF and a 5.00-µF capacitor are connected in series across a 30.0-V battery. A 9.00-µF capacitor is then connected in parallel across the 3.00-µF capacitor. Determine the voltage across the 9.00-µF capacitor.

I have no idea what to do.
 
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Capacitors in series split the voltage, but differently than resistors.

Capacitors in parallel experience the same voltage drop.

So the 3 and 9-µF capacitors are put in parallel, what is the effective capacitance. Then what is the voltage drop across that capacitance? Hint - it splits the 30 V with the 5-µF capacitor.

What do you know about capacitance of parallel and series combinations of capacitors?
 
Here is what I did so far:

Cp = 12 uF
Cs = 5 uF
Ct = 1/12 + 1/5 = 3.529 uF
q = CtV = 1.0588e-4 V
Vt = 30V = V1 + V2
 

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