Electric Potential and a capacitor

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SUMMARY

The discussion centers on calculating the potential difference across a 4.0 F capacitor based on its ability to heat 2.5 kg of water from 21 degrees Celsius to 95 degrees Celsius. The user correctly identifies the use of the equation PE = 1/2 CV^2 to find the potential energy (PE) and applies the formula q = m * c * ΔT to determine the heat transferred. By equating the heat energy to the potential energy, the user can solve for the voltage (V) across the capacitor plates. This approach effectively combines thermodynamic principles with electrical energy calculations.

PREREQUISITES
  • Understanding of capacitor energy storage (PE = 1/2 CV^2)
  • Knowledge of heat transfer equations (q = m * c * ΔT)
  • Familiarity with specific heat capacity of water
  • Basic algebra for solving equations
NEXT STEPS
  • Research the specific heat capacity of water (4.186 J/g°C)
  • Learn about energy conservation in electrical systems
  • Explore advanced capacitor applications in energy storage
  • Study the relationship between voltage, capacitance, and energy
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in the practical applications of capacitors in energy transfer and thermal dynamics.

Jodi
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Hi; Could someone please help me with the following question: A huge 4.0 F capacitor has enough stored energy to heat 2.5 kg of water form 21 degrees celsius to 95 degrees celsius. What is the potential difference across the plates? Could i use the equation: PE = 1/2 CV^2. However, I do not know how to solve for PE; how do I use the given temperatures and mass? Thank you for your help.
 
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I would use q=m*c*delta(T) to get the heat (Joules) transferred by the capacitor. m=the mass in grams of your water. c is the specific heat of water. delta T is the change in temperature. Then set that amount equal to your potential energy and solve for V...I think that's right
 
thanks

Thanks a lot for your help, I understand it now.
 

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