Calculating the Increase in Energy for a Capacitor with Concentric Spheres

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SUMMARY

The discussion centers on calculating the increase in energy for a capacitor formed by two concentric spheres, with the inner sphere having radius 'a' and the outer sphere 'b', carrying charges Q and -Q, respectively. When the outer sphere is removed and then restored, the increase in energy is determined by analyzing the electrostatic energy changes due to the separation of the spheres. The relevant concepts include Gauss's Law and the formula for electrostatic energy, which is essential for solving the problem effectively.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electrostatic energy calculations
  • Familiarity with spherical capacitors
  • Basic concepts of charge configurations
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  • Study the derivation of the electrostatic energy formula for capacitors
  • Learn about the capacitance of spherical capacitors
  • Explore the application of Gauss's Law in electrostatics
  • Research energy conservation principles in electrostatic systems
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Students studying electromagnetism, physics educators, and anyone looking to deepen their understanding of electrostatic energy in capacitor systems.

renegade05
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Homework Statement


A capacitor consisting of two concentric spheres is arranged so that
the outer sphere can be separated and removed without disturbing the
charges on either. The radius of the inner sphere is a and that of the outer
sphere is b, and the charges are Q and -Q, respectively

a) If the outer sphere is removed and restored to its original form, find the
increase in energy when the two spheres are separated by a large distance.

b) Where does this extra energy come from?

Homework Equations



no idea

The Attempt at a Solution


no idea

The professor is teaching at a way higher level than necessary and I have no clue on what to do. Do I use gauss' law? maybe? I have no idea. please help
 
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How do you normally work out the energy stored in a configuration of charges?
You should have some notes on this.
 
@renegade05, think of difference of electrostatic energies between two cases. Capacity of spherical capacitor is:
phpYQUYwR.png

Capacity of isolated sphere is?
And formula for electrostatic energy you will use is?
 
Last edited:

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