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Guest
Posted: Sun Jun 24, 2007 11:35 am
Given E=a_r*(20/r^2) mV/m in free space, find rho_v (the volume charge
density) at the point (3,-4,1) cm

The answer is supposed to be -1.42 nC/m^3. I have tried Gauss's law
both in integral and differential form, but I do not get the correct
answer so I would really appreciate all help I can get.
John C. Polasek
Posted: Wed Jun 27, 2007 9:24 am
Guest
On Sun, 24 Jun 2007 09:35:48 -0700, Vattenkannan@gmail.com wrote:

Quote:
Given E=a_r*(20/r^2) mV/m in free space, find rho_v (the volume charge
density) at the point (3,-4,1) cm

The answer is supposed to be -1.42 nC/m^3. I have tried Gauss's law
both in integral and differential form, but I do not get the correct
answer so I would really appreciate all help I can get.
You should explain your terms ar and mV is megaV or milliV?

This should work, using the SI divergence equation del dot D = rho:
Find r from 3, -4,1.
E = k/r^2
D = eps0*k/r^2
del dot D = rho (P) = dD/dr
rho = -2*(eps0*k*)/r^3
Ignore the negative sign.

John Polasek
 
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