Why Is Q Positive in Charge Balancing Equations?

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In charge balancing equations, the positive charge Q is crucial for maintaining charge conservation. The discussion highlights confusion over the equation 2Q + x = -Q, with the correct interpretation being that the total enclosed charge should sum to +Q when considering both spheres. When connected by a conducting wire, the electrons redistribute to equalize the charge, confirming that +Q is the correct value. The misunderstanding stems from misapplying the principles of charge conservation in the context of Gaussian surfaces. Ultimately, the net charge must reflect the total charge present, reinforcing the importance of accurate charge representation in equations.
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Homework Statement





[PLAIN]http://img256.imageshack.us/img256/9025/93408370.jpg

The Attempt at a Solution



Shouldn't it be 2Q + x = -Q

x = -3Q?

My book say it is +Q
 
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+Q is correct.
What would happen to the single electrons carrying the charge if you joined the two spheres by a conducting wire?
 
betel said:
+Q is correct.
What would happen to the single electrons carrying the charge if you joined the two spheres by a conducting wire?

Then why am I wrong? 2Q + x = -Q?
 
Don't you mean 2Q + (-Q) = x = +Q ?

After all, the total enclosed charge in a Gaussian surface surrounding both spheres would contain a net charge of +Q.
 
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