Figure shows, in cross section , two solid spheres with uniformly distributed charge throughout their volumes. Each has radius R. Point P lies on a line connecting the centers of the spheres, at radial distance `R//2` from the center of sphere 1. If the net electric field at point P is zero, and `Q_1 is 64muC` and `Q_2 = 8xmuC`, what is the value of x.

A positive charge Q is uniformly distributed throughout the volume of a dielectric sphere of radius R. A point mass having charge +q and mass m is fired toward the center of the sphere with velocity v from a point at distance r (r gt R) from the center of the sphere. Find the minimum velocity v so that it can penetrate (R//2) distance of the sphere. Neglect any resistance other than electric interaction. Charge on the small mass remains constant throughout the motion.

If the potential at the center of a uniformly charged sphere of radius R is V then electric field at a distance r from the center of sphere will be ( r lt R ) : -

Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance r_1 from the centre of the sphere, the magnitude of electric field is: