A spherical cavity is excised from the inside of the sphere. The cavity has radius a4a4 and is centered at position h⃗ h→h_vec, where |h⃗ |<34a|h→|<34a, so that the entire cavity is contained within the larger sphere. Find the electric field inside the cavity.

Electric field of the earth. the earth has a net electric charge that causes a field at points near its surface equal to 150 n> c and directed in toward the center of the earth. (a) what magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth’s electric field? (b) what would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? is use of the earth’s electric field a feasible means of flight? why or why not?