# Q3 - 3804 Fun A 1 Two inﬁnite conducting planes are...

• Notes
• 4

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3804 Fun A 1. Two inﬁnite, conducting planes are parallel, at a separation distance d and carry the respective uniform surface charge density +0 and - 0.. Suppose the _ positively charged plate is "grounded" (V = 0.). 3 (a) Draw in the equipotentials and the electric field. 3' (b) Calculate the potential of the negatively charged plate. (2(c) What is the potential Vo of the equipotential surface at a distance x (<d) away from the positive plate? \1=O t/Vw l t l a) Wk; WW _0_ retreat: mm E l ' v I L')I\'\¢ljwﬂg E: 0, To 7MB 5J wcogvttct 03c "Lt/JO MAC/MLAVLLB P, ‘LL; “£1,ch ‘, 7- 'Q:_Q:ﬁ __ D E‘aeax+%:\i(() WU (M50, “Mugabe; otm7 N07. -r A t) Av=V;—V;: flan mlwwvﬁ (OVA—5 'F'o’“ +14, (“vﬂiww'ﬂl J‘C ‘l‘i‘le Aéjn'iw‘t Pick; ‘\n 5\ EL‘w pwwrlie 'Lo VLLL X— owns go (>me 692:: OQXX ,E:E)2 ;—:-.;£ @(Q5OOUWQQ'LOVK> ‘ t'SAi' +0\)F,1o.i*"0‘J So \I,‘=0 MWWW+V;. I 0? J 90 AVA/WV"; Vf‘0;\/7° : if Eélxa'g A» 0 - ,‘d \lp: ﬁjMwB , €00) C3 V0 Ai’ on? oa‘l'i‘wte X<J l5 "EN“J L7 SULg'ith‘iﬂD X lgﬁol M Ho. VW” [Mlle ,j— Ho, «ﬁscal. -m <9 -6. Seem B 1. A small sphere of radius r is placed at the center of a larger sphere of radius R. The spheres carry charges q and Q respectively, spread uniformly on their surfaces. ' 3 (a) Draw in the equipotentials and the electric ﬁeld. § (b) Calculate their potential difference. a (c) Suppose you connect the two spheres with a thin wire. What will happen? a * ; (RH/(r) :j: _ 01/ :44 in (AV V Lfri‘éoﬁ Lin—69" ems (R r) qu7 la 14nd, i +l‘5 ““5 WV) g‘L‘Ce, V’CW’J’JsLQ wlvfe/ V:O fowl Q @ . Av: ~figM 09;: = (LU-Q GD K , _ _~K -i -4) : eff—ﬁg»: aﬁWW/mii r ADQ‘M) i '1 01(07- C) Him/‘HVJ‘ of 40+ +L6 31%,”; W WJVc-L‘MJ w MSJH—qJ-NS) J'Lo/ ahargg/ Ni“ rec’bli‘n‘mfiﬂ [VJ—59L}: OV‘V J‘LL M Splints) IMAM.) @ 0\ .a,’ M )9an CFA-Vuf So rﬂp'qw (p 1/7 7/; {A P'“+ L) 0M7 you w W/ MULLLQZ j 2. Given two points P, = (0, 0) and 132 = (2, 2), calculate the line integral of the electric ﬁeld given by E = K (yi + x3) S- (a) along the paths joining the two points along the y axis from P, to (O, 2) and then from (0, 2) to P2 parallel to the x axis. S (b) along the straight line joining the two points. 7 .Pa Q E>K(v7+Xf> “(03* almjlwa)X\/wmﬁvm 04°; 0-17.19 E. M.=k<ﬂ+03>°dv3 , 300’ Eana:K(Q/”+Xj>'oix7 : RX (9 a 2 fgoiz: o rfawx: aha—o): O Seam/l «its 3. A circular plastic rod of radius R has a positive charge +Q uniformly distributed along nne-qunner of its circumference and a negative charge of ~6Q uniformly distributed l 0 along the rest of the circumference (see ﬁgure below). With V: 0 at inﬁnity; what is the electric potential at the center Cof the circle? 3 gulp, A “l. (owl C _________ P'( 566““ B, ai‘ foM+P . - I (See (/0me 39-37> -6Q ”Wu/e Ltave M Oe'S'}rtL/itufuj we, WM 49H claw”; + Q) J’LLOVHQ/ ml‘la “kill LLLML ——6Q S0 V; ._._L. 6Q +(—6Q>§ ; qweoﬂ ‘irraoﬂ, ...
View Full Document

• Spring '08
• schuller

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern