Gauss's Law Question: A hollow. conducting sphere Twith an outer radius of 0.250 111 and an inner radius of 0.200 111 has a uniform surface charge density of . A charge of is now introduced at the center of the cavityr inside the sphere Methods {Equations} 40% Variables 30% 0 Answer 30% "What is the new charge densityr on the outside of the sphere?r Methods {Equations} 40% | Variables 30% , % Calculate the strength of the electric eld just outside the sphere. | Methods {Equations} 40% Variables 30% Answer 30% (c) 1JVhat is the electric flux through a spherical surface just inside the inner surface of the sphere? 0 Electric potential Methods {Equations} 40% | Variables 30% Answer 30% In a certain region of space. the electric potential is . where A. B. an: constants. (a) Calculate the -.. '.. and -co111ponents of the electric eld Methods {Equations} 40% Variables 30% Answer 30% Capacitor and Capacitance A parallel-plate air capacitor is to store charge of magnitude on each plate when the potential difference between the plates is V. Methods (Equations) 40% Variables 30% Answer 30% (a) If the area of each plate is . what is the separation between the plates\"? Methods (Equations) 40% _ _ 0 _ (b) If the separation between the two plates is double the value calculated in part (a). what potential difference is required for the capacitor to store charge of magnitude on each plate\