Equivalent capacitance of a system of 2 spheres

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SUMMARY

The discussion centers on the equivalent capacitance of two conducting spheres with radii R1 and R2, which are widely separated. The capacitance of each sphere is calculated using the formula C = 4π εoR. When connected by a metal wire, the spheres share the same potential, confirming they are connected in parallel rather than in series. This conclusion is reached after clarifying the behavior of charges between the spheres when connected.

PREREQUISITES
  • Understanding of capacitance and its formula, specifically C = 4π εoR
  • Knowledge of electrical potential and charge distribution in capacitors
  • Familiarity with series and parallel connections in electrical circuits
  • Basic principles of electrostatics and conducting materials
NEXT STEPS
  • Study the concept of equivalent capacitance in parallel and series configurations
  • Explore the behavior of charge distribution in connected capacitors
  • Learn about the implications of connecting capacitors in parallel versus series
  • Investigate the effects of distance and size on capacitance in electrostatic systems
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Students of physics, electrical engineers, and anyone interested in understanding capacitance in electrostatic systems.

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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