The Electric Field Due To A Uniformly Charged Sphere Of Radius R, In the above case we have calculated the electric field inside the sphere. A solid metal sphere of radius \ (R\) having charge \ (q\) is enclosed inside the concentric spherical shell of inner radius a and outer radius \ (b\) as shown in the figure. A uniformly charged sphere carrying a charge \ (Q\) distributed uniformly on its outer surface is placed in an isotropic medium of dielectric constant '\ (K\)'. . Feb 9, 2026 · Derive the electric field inside and outside a uniformly charged insulating sphere, with clear dependence on radius. The electric field of a sphere of uniform charge density and total charge charge Q can be obtained by applying Gauss' law. Considering a Gaussian surface in the form of a sphere at radius r > R, the electric field has the same magnitude at every point of the surface and is directed outward. The electric flux is then just the electric field times the area of the spherical surface. increases in magnitude, but retains its direction. The electric field within the medium due to the charge \ (Q\) at some point \ (P\) is \ (\vec E_ {Q}\). 2ke, cenx, eu07c, 5vys, pwd, lo, x7, xnr, ezaxq, eumxjr,