Equivalent capacitance of a system of 2 spheres

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Homework Help Overview

The discussion revolves around the capacitance of two conducting spheres with different radii when they are widely separated and when connected by a metal wire. The original poster seeks clarification on the configuration of the spheres' connection and the implications for their capacitance.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the individual capacitance of the spheres using the formula for a sphere. There is uncertainty about whether the spheres are in series or parallel when connected by a wire, leading to questions about potential differences and charge distribution.

Discussion Status

Some participants have offered insights regarding the potential of the spheres when connected, suggesting they will share the same potential, which implies a parallel connection. However, there is still some exploration of the underlying assumptions and configurations.

Contextual Notes

The original poster notes that no additional information is provided in the text, which may limit the discussion on the specifics of the connection and its implications for capacitance.

randomgamernerd
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Homework Statement

: [/B]Two conducting spheres of radii R1 and R2 are kept widely separated from each other. what are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combiation?

Homework Equations


Capacitance of a sphere of radius R is 4π εoR

The Attempt at a Solution

: [/B]from the equation above,we get capacitance of each sphere. I have no issue with that. For the next part, I think the spheres are connected in series because they are connected by a single wire. But from the answer given in the text,it seems the spheres are connected in parallel. Can anyone please clarify in which combination they are connected?
No other information is mentioned in the text.
 
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randomgamernerd said:
from the equation above,we get capacitance of each sphere. I have no issue with that. For the next part, I think the spheres are connected in series because they are connected by a single wire. But from the answer given in the text,it seems the spheres are connected in parallel. Can anyone please clarify in which combination they are connected?
When they are connected by the wire, will they be at different potentials (like series connected capacitors) or share the same potential (like parallel connected capacitors)?
 
gneill said:
When they are connected by the wire, will they be at different potentials (like series connected capacitors) or share the same potential (like parallel connected capacitors)?
I think charges will flow till both reach the same potential
 
ok..yeah right..they will have same potenial...so they are connected in parallel..ok i got it...thanks @gneill
 
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