Energy stored in a single capacitor

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Homework Help Overview

The discussion revolves around a capacitor network where the potential difference is given, and participants are tasked with finding the total energy stored and the energy in a specific capacitor. The subject area is electrical circuits, specifically focusing on capacitors and energy storage.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between energy stored in capacitors and the equations governing their behavior, including the use of charge and voltage. Questions are raised about how to relate the charges in a series circuit and how to determine the energy in individual capacitors based on total energy.

Discussion Status

The discussion is active, with participants offering hints and posing questions to guide understanding. There is an exploration of the relationships between charges in series capacitors and the implications for calculating energy stored in specific capacitors.

Contextual Notes

Participants are working with a specific capacitor network and have noted the potential difference and some values for capacitance. There is an assumption that the original poster has already calculated total energy, but further details about the circuit configuration may be necessary for complete clarity.

lat77
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Homework Statement


For the capacitor network shown in the Figure (Figure 1) , the potential difference across is 12.0 . (Figure is attached by the way)
A)Find the total energy stored in this network. (I already found this to be 158 μJ)
B)Find the energy stored in the 4.80- capacitor.


Homework Equations


U=1/2 CV^2


The Attempt at a Solution


I would imagine that you need to subtract the amount of energy in the parallel branches from the total amount of energy of the system, but I don't know how to do this without knowing the charge.
 

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Another equation that I would add to your list is Q = CV (Charge = Capacitance x voltage).

I will give you a hint in the form of two questions:
1) How are the charges in a series capacitor circuit related?
2) How does the charge on one of the capacitors in a series capacitor circuit related to the total charge in the circuit?
 
misterc said:
Another equation that I would add to your list is Q = CV (Charge = Capacitance x voltage).

I will give you a hint in the form of two questions:
1) How are the charges in a series capacitor circuit related?
2) How does the charge on one of the capacitors in a series capacitor circuit related to the total charge in the circuit?

1) Q=CV as your equation said.
2) (Qtotal/#of capacitors)=Charge per capacitor?
 
Since you got part a), I'll assume you can convert between series, parallel and total capacitance.

So, in your problem, we can model the circuit as three capacitors in series. Correct?

Let's call the three capacitors C1, C2, C3 where C1 = 8.6 uF, C2 = 4.8 uF, and C3 = 7.5 uF. Correct?

Let's call Ceq the total equivalent capacitance = 2.18 uF. Correct?

My questions then are:
How are Q1, Q2, and Q3 related?
How does Q2 (since that's the capacitor in question), relate to Qeq?
 

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