Electrostatic potential energy in a circuit with and without a battery

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SUMMARY

The discussion focuses on the electrostatic potential energy changes in a circuit with two plate capacitors connected in series, both with and without a battery. The scenarios presented involve charging the capacitors and then altering the internal distance of one capacitor. Participants emphasize the need to apply the correct equations for capacitor energy, noting that there are three distinct equations relevant to this analysis. Understanding which equation to use in each scenario is crucial for determining the changes in potential energy.

PREREQUISITES
  • Understanding of capacitor theory and operation
  • Familiarity with electrostatic potential energy equations
  • Knowledge of series and parallel circuit configurations
  • Basic principles of electric charge and voltage
NEXT STEPS
  • Review the three equations for capacitor energy: \( U = \frac{1}{2}CV^2 \), \( U = \frac{1}{2}Q^2/C \), and \( U = \frac{1}{2}QV \)
  • Explore the effects of changing capacitance on energy storage in capacitors
  • Investigate the implications of series versus parallel connections on total capacitance
  • Examine practical applications of capacitors in circuits, including energy storage and discharge
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and professionals working with circuit design and analysis will benefit from this discussion.

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I have two plate capacitors serially connected in a circuit with a battey and a switch between the battery and one of the plate capacitors.

I have two situaions:

a) I charge the capacitors, cut the switch, and double the internal distance in one of the capacitors.
b) I charge the capacitors, keep the switch and double the internal distance in one of the capacitors.

What is the change of electrostatic potential energy in the two situations?

(This is not the actual exercise I have to solve, just a part of what I need to figure out before going on.)
 
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You'll need to use an equation for the energy in a capacitor ... then think about how it would apply in each case. Please look in your textbook or lecture notes for the equation**, and post back with your thoughts.

**Actually, there are 3 equations for capacitor energy. So part of doing this problem is figuring out which equation best applies in each situation.
 

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