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henrybrent
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Homework Statement
A Non-Uniform but spherically symmetric charge distribution has a charge density:[itex] \rho(r)=\rho_0(1-\frac{r}{R}) [/itex] for [itex] r\le R[/itex]
[itex] \rho(r)=0 [/itex] for [itex] r > R[/itex]
where [itex] \rho = \frac{3Q}{\pi R^3} [/itex] is a positive constant
Show that the total charge contained in this charge distribution is Q
Homework Equations
[itex]Q_{total} = \int \rho(r)dV [/itex] with limits 0 and R
[itex]dV = 4 \pi r^2 dr [/itex]
The Attempt at a Solution
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I have tried so many solutions it is driving me insane.
Is my dv wrong?
my main method is substituting [itex] \rho_0 [/itex] in and then trying to take the constants out of the integral but then I'm stuck with r^3/R or something like that...
This is a 4 mark question, so that usually indicates it's a 4 step process, but this is taking me many steps to get even close..
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