How Do You Calculate the Capacitance of a Charged Capacitor?

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Homework Help Overview

The discussion revolves around calculating the capacitance of a charged capacitor given its energy storage and voltage. The original poster presents a scenario involving a capacitor charged to 6.10 kV and storing 1140 J of energy, seeking to determine its capacitance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between energy, voltage, and capacitance, with one suggesting a formula that connects these variables. There is a discussion about the variables available and how they relate to capacitance.

Discussion Status

Some participants are questioning the assumptions regarding the available variables and their relationships. There is an acknowledgment of the need for a formula that connects energy and capacitance, but no consensus has been reached on the approach to take.

Contextual Notes

Participants note that while energy and voltage are provided, the values for charge and capacitance are not directly given, leading to discussions about how to derive capacitance from the available information.

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Homework Statement



A capacitor is in this device is charged 6.10KV and stores 1140 J of energy. What's the capacitance?

Homework Equations


W= 1/2 Q Delta V

The Attempt at a Solution


PE is W
W= 1140 J
Delta V: 6.10 KV
Q =?
C=?

Delta V = -W/Q rewrite to Q= -W/Delta V
convert kV to V
Q= -1140/6100V= -.18

then C= Q/V -.18/6100= -3.06E -5
 
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Inasmuch as you're given energy (Joules) would you happen to know a formula for finding capacitance from voltage and energy? (hint: The formula is usually written for finding energy from voltage and capacitance.)
 
if C= Q/V is what your saying, C and Q isn't given in this case there only V.
 

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