Question

P 2. (12.5 points) The figures show cross-sections of spherical (A.C.D) or cubical (B.E) Gaussian surfaces that intersect solid charged spheres of radius R. The situations on the left and right are independent. The centre each of sphere is at the origin of Insulator separate coordinate systems with axes going through the centre of both spheres. The total charge + is the same for the conducting sphere on the left and the uniformly charged dielectric sphere on the right. The radii of the surfaces A. C and D are one half that of the conducting and insulating spheres. The relative permittivity of the material in the right sphere is € = 2. a.) (5 points) Rank the total electric flux through the surfaces labeled A - E. from largest flux to sinallest flux. Ties are possible. Carefully explain your reasoning Also shown are 6 points located as follows: P = (0,R,0), P4 = (0, R,0), P2 = (R,0,0), Ps= (R,0,0), P: = (2R,0,0), for the conducting sphere on the left, Pe= (2R,0,0), for the dielectric sphere on the right. b) (7.5 points) Rank the magnitude of the electric field at each of the 6 points. from largest magnitude to smallest magnitude. Ties are possible. Carefully explain your reasoning

Answer 1

PageNoo Answers > conductor Jin- PS insulators

Pageno@ то . flux Tux a enclosed Eo left Conducting Right Cdi-electric) 1 charge on its Surface charge distributed evenly I everywhere inside =) The flux iş directly proportional to charge I enclosed inside the Gaullian Surface for Surface A a enclosed to fluxo lux for Surface B Qenclosed = QIZ fluxis - a

Pageno flux for surface a Qenclosed a flux c=Q loo =10 => x Total charge inside sphere of radius 12/2 Diş proportional to volume. Ratio of choorge inşide şurface o to total choonge ($)3 - 4 / R3 fluxe - a Surface E has a hemisphere inside charge is proportional to volume of sphere Qenclosed = @

Pageno flux E=Q b) from largest magnitude to smallest magnitude. flux flux flux su flux flux flun Elet vie field Hength Electric tie Radius È so for rar l ko for VIR ² S RQ + rer (karze

Pagano È at point P, = KQ I Elpa o 1²1 Pg= El Pu - Ke Elps = kena El PC = Menu KQ Pia Pu> Ps > P2 = P6 » Pz