Function of the radial distance r from the central of sphere

Reference no: EM13679200

A sphere of radius R has total charge Q non-uniformly distributed throughout its volume. The volume charge density (gauged in C/m^3) within the sphere is given by \large \rho (r)=\alpha /r^2 where \large \alpha is a constant to be determined. (a) The charge within a small volume element \large dV=\rho dV. The integral of \large \rho dV over the entire volume of the sphere is the total charge Q. Use this fact to decide the constant \large \alpha in terms of R and Q. (b) Use Gauss's law to find the expression for the electric field E in the regions (i) 0 < r< R (ii) r > R. Where r is gauged from the central of the sphere. Is the electric field continuous or discontinuous as you approach the surface at r = R from inside and outside the sphere? (c) Sketch the magnitude of the electric field as a function of the radial distance r from the central of the sphere.

Reference no: EM13679200

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