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Maximum charge

Me again.

Is there a formula for the maximum amount of charge may be stored on a body (assume spherical) of radius r? I assume radius is the only factor, though mass is known also. I just don't remember seeing anything for this and can't find it in all my books for the life of me.

Thanks.
 
651
1
Lets try ::
Capacitance:: C=[tex]4 \pi \epsilon r[/tex]
Q=CV
[tex]Q=4 \pi \epsilon r V[/tex]
Now V should be less than E0 Breakdown Voltage
so max can be
[tex]Q_{max} = 4 \pi \epsilon r E_0 [/tex]
Well I am not too sure abt above but its a try , if u can provide some other logic it will be welcomed
 
himanshu121 said:
Lets try ::
Capacitance:: C=[tex]4 \pi \epsilon r[/tex]
Q=CV
[tex]Q=4 \pi \epsilon r V[/tex]
Now V should be less than E0 Breakdown Voltage
so max can be
[tex]Q_{max} = 4 \pi \epsilon r E_0 [/tex]
Well I am not too sure abt above but its a try , if u can provide some other logic it will be welcomed
Dammit, sorry I was being dumb. I didn't notice we were given the electrical breakdown of air in the problem, so I know the maxmum electric field, I know the radius, and from this I can easily get the charge:

Q = [tex]4 \pi \epsilon r^2[/tex]E(r)

Apologies for wasting thine time, and thanks for posting back. I was pretty tired. :zzz: Take care.
 

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