Question

Flag question a) Two point charges of 40 C each, located in the x-y plane at (1,1,0) and (-1,-1,0) respectively. to = 8.85 x 10-12 F/m. V = 4RER i) Sketch this configuration in Cartesian coordinates 12 marks] (8 marks] ii) Determine the electric field at a point 3 m on the z-axis. Q [17 marks) iii) Find the electric potential at any point Palong the x-axis. (5 marks] iv) Evaluate Vat x = 1. [2 marks] b) A thin spherical shell of radius a, carries a uniform surface charge p. Use Guess's law to determine E everywhere inside and outside the shell, i.e. for R<a, R>a, and R= a. marks] Guess law 9 D. ds = lenc B 1 E 22 Paragraph

Answer 1

Pursuit of Excellence Q = Q2 = 40MC زهرا را) x Q20 (-1,-1,0) (152 at z=3 &, to za 3 m distance = (12)²+(372 - Jū m Ez a Ei fr Viim viim 3m Q, * 12 tr 82 Eneta Es + E2 -> Where Ei= UITGO(8) Ela 40MC X9x109 360x10 3xlo-L (WT2 (1) Ei= 360x103 vim vertical component of į add Ê but Horiz. Component will cancel out- El Evertical) - 360 x103 coso, El (vertical) = 360 x 103 VE Enet 26 = 2x360 x 103x VZWork to 42.79 2104 V/ Xylow up JU Enet = 2.79 x 104 yim

(1) In Pursuit of Excellence цохог х9xjo9 Чтет хатуу, 3.103 Су-3)2+(о) у 3. 6x to S Ту-)2+ 2 - yo Xorexoxo9 ЧТех (аа х»)2+(92-95) - ү. 2 3. 6 x) S у (хел усу VitV22 Vnet 3.6X105 [ Jahr Jannien Oy) at ) 3. 6х10 С Vnet - yhet [is 3. 6 X10S, (N SH) - 5,2 ) XioSvo17 Vs

CM in Pursuit of Excell 62 Gauss law wo a doids = din egeidsa lente when * Rza at some distance is make a a aussian surface Genel, a (Ps) (4183) Edeids Ps (4183) е (0) Чте Ps (21983) E (Ps 2 R -> les festes =>(E> PSR 3t BE when saa R. when Rya at some distance Rľ snake aussian surface gaus Benua (15) (41793) ka K Total Charge enclosed Follow up Eg Eids a. (PS) 4T 93 E E ATTR² = (Ps) 41 (43) E = ls a3 BER2