Conservation of energy between two charged sheres

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SUMMARY

The discussion focuses on the conservation of energy between two charged spheres, specifically comparing insulating and conducting spheres. For insulating spheres with charges q1 and -q2, the change in potential energy (delta-U) is calculated using the formula delta-U = Keq1q2(1/(r1+r2) - 1/d), indicating remaining electric potential energy due to separation. In contrast, when conducting spheres touch, they reach electrostatic equilibrium, resulting in zero potential energy (U-final = 0) and a greater final velocity due to increased electric field strength. This highlights the significant differences in energy dynamics between insulating and conducting materials.

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  • Familiarity with the concepts of conservation of energy and linear momentum
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conservation of energy between two charged spheres

We are given two insulating spheres with charges q1 and -q2 separated by a distance d. Using concepts of conservation of energy and linear momentum, I solved for the velocity of each sphere at the point of contact.
We are then asked if the spheres were conducting, would the final velocity be greater. delta-U for the insulating spheres is U-final minus U- initial = Keq1q2(1/(r1+r2) - 1/d)) meaning there is some electric potential energy remaing, because the center of spheres are still separated.
But when the two conducting spheres touch, they are in electrostatic equilibrium, right? So there is no more potential energy, correct? How do I write an expression for the delta-U in this case? I should get a greater value, right?
 
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In that case, U-final would be 0 wouldn't it?
 
Talked to my instructor today. He said that when the spheres are conducting, the charges migrate across the surface increasing the magnitude of E in between, hence higher V-final. He also said its not a simple equation anymore, but we weren't really asked for one, just to reason that out.
 

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