Question

(6%) Problem 13: A hollow non-conducting spherical shell has inner radius Ri = 7 cm and outer radius R2 = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p Ar for Ri<r<R2 that increases linearly with radius, where A = 25 HC/m4 Otheexpertta.con A 25% Part (a) Write an equation for the radial electric field in the region r< Ri in terms of Q, r, and Coulomb's constant k. You may take the positive direction as outward 25% Part (b) What is the radial electric field at the point r = 0.5R1? Given your answer in units of kN/C, and take the positive direction outwards 25% Part (c) What is the radial electric field at the point r = 0.5(Rj+R2)? Give your answer in units of kN/C 25% Part (d) What is the radial electric field at the point= 2R? Give your answer in units of kN/C Grade Summary E(2R Deductions 09 1000.

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SAD :RCA <Ro Q=-3510 R=7cm Rz=19cm, A=25 MCmt a for rcri (Inside) a) using Gauss's hv, BE JA = & Fenclosed > Einside 47/?= JQ Einside = 7 ka Aul b) at r=R L (Inward direction becaux of Negative charge) E = -9X183 x 35x50 = -2.5714X105 %) And 6 X163)2 c) at 2= BitR2 - 13 cm again using Gaussia law, E-40%= Ź Pencoped 5:438= § (Q+ 55.403 dr). E. 48 = 2 (2+ and firsts) E they > (Q+Ana (24) ) = 5 (8+47A(21.44) LE= 9X103 1-35x15+5 x 25x506 4 (0-13) ? (0-0714) 10-13)2 E = -7697.388 N/c = -7,697 KNJI Ri

d) hx 2 = 222=2X18 -38cm Coutside) GARR= (Q+ seansda SER Ett (a + 404 E = 9x109. (0-20)2 -35%+ * x25x25 (0-1956-10-07)4)) E = 4.0804x102! - 4.0804 kW Aul