What is the capacitance of the two metal spheres

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Homework Help Overview

The discussion revolves around calculating the capacitance of two metal spheres, one charged positively and the other negatively. The problem specifies the charges of 20nC and -20nC, along with a voltage change of 100V.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore which charge value to use for Q in the capacitance formula, questioning whether to use the positive or negative charge. They also consider scenarios with different charge values and the implications for capacitance calculations.

Discussion Status

The discussion includes attempts to clarify which charge should be used in the capacitance equation. Some participants express uncertainty about how to choose between the charges provided, while others suggest that problems involving capacitance typically present symmetric charge values or singular cases to avoid ambiguity.

Contextual Notes

Participants note that the problem's setup implies a specific relationship between the charges, and there is an assumption that problems involving capacitance will not present conflicting charge values.

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Homework Statement


What is the capacitance of the two metal spheres shown in the figure ?

sphere one has 20nC of charge and the other has -20nC of charge. The change in voltage is 100V

Homework Equations


C=Q/(change in V)


The Attempt at a Solution


My question is how do yo determine what charge to put in for Q?
 
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hover said:

Homework Statement


What is the capacitance of the two metal spheres shown in the figure ?

sphere one has 20nC of charge and the other has -20nC of charge. The change in voltage is 100V

Homework Equations


C=Q/(change in V)

The Attempt at a Solution


My question is how do yo determine what charge to put in for Q?

It's given.
 


xcvxcvvc said:
It's given.

but the thing is how would I know to use 20nC or -20nC? What if you had 2 charges that were something like -30nC and 20nC? How do you know what Q to choose?
 


hover said:
but the thing is how would I know to use 20nC or -20nC? What if you had 2 charges that were something like -30nC and 20nC? How do you know what Q to choose?

you will never be given a problem like that. the charge when dealing with capacitance will be symmetric if two values are given or it will be singular(where such an ambiguity is impossible)
 


So i assume then that the answer here is just 2E-8/100 then
 


hover said:
So i assume then that the answer here is just 2E-8/100 then

assumed correct.
 


xcvxcvvc said:
assumed correct.

Correct

thanks
 

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