A positively charged sphere carries a uniform volume charge density p. Its center sits at the origin O. There is a hollow spherical cavity inside the sphere. The center of the cavity is at Point P. The vector` OP is along the y-axis and defined as OP = ở Take an arbitrary point K inside the cavity and define the OK = R and KP = ř., R. P. a. What is the relation between a. R and ř' b. A hollow cavity is electrically neutral. A neutral sphere can be thought of as the superposition of a positively charged sphere and a negatively charged one. Based on this idea and the result of Part (a), find out the electric field at Point K. c. Based on the result of Part (b), comment on the properties of the electric field inside the hollow cavity.

A positively charged sphere carries a uniform volume charge density p. Its center sits at the origin O. There is a hollow spherical cavity inside the sphere. The center of the cavity is at Point P. The vector` OP is along the y-axis and defined as OP = ở Take an arbitrary point K inside the cavity and define the OK = R and KP = ř., R. P. a. What is the relation between a. R and ř' b. A hollow cavity is electrically neutral. A neutral sphere can be thought of as the superposition of a positively charged sphere and a negatively charged one. Based on this idea and the result of Part (a), find out the electric field at Point K. c. Based on the result of Part (b), comment on the properties of the electric field inside the hollow cavity.