JasonZ
Sep16-04, 07:47 PM
Hey, this is from "Foundations of Electromagnetic Theory" by Reitz, et al. Problem 2-15.
I have had a really hard time trying to learn from this book as there are no examples to apply the equations they prove throughout the chapters. Anyhow, I don't really have anything down for this problem, which is as follows:
A spherical charge distribution has a volume charge density that is a function only of r, the distance from the center of the distribution. In other words, \rho = \rho (r). If \rho (r) is as given below, determine the electric field as a function of r. Integrate the result to obtain an expression for the electrostatic potential \phi (r), subject to the restriction that \phi (\infty) = 0.
(a) \rho = \frac {A}{r} with A a constant for 0 \leq r \leq R; \rho = 0 for r > R .
I assume this is a Guass law problem, I just don't understand how to solve the right hand integral, supposing it is indeed: \int \rho dv
Can anyone help me, I am quite stuck.
-Jason
I have had a really hard time trying to learn from this book as there are no examples to apply the equations they prove throughout the chapters. Anyhow, I don't really have anything down for this problem, which is as follows:
A spherical charge distribution has a volume charge density that is a function only of r, the distance from the center of the distribution. In other words, \rho = \rho (r). If \rho (r) is as given below, determine the electric field as a function of r. Integrate the result to obtain an expression for the electrostatic potential \phi (r), subject to the restriction that \phi (\infty) = 0.
(a) \rho = \frac {A}{r} with A a constant for 0 \leq r \leq R; \rho = 0 for r > R .
I assume this is a Guass law problem, I just don't understand how to solve the right hand integral, supposing it is indeed: \int \rho dv
Can anyone help me, I am quite stuck.
-Jason