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Conductor_Gauss_Law_example

# Conductor_Gauss_Law_example - EXAMPLE(based on problem 65...

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Unformatted text preview: EXAMPLE (based on problem 65 from page 641) A solid insulating sphere of radius a is uniformly charged with a total charge Q. It is surrounded by an concentric uncharged conducting spherical shell with an inner radius 13 and an outer radius c. (a) Find the electric field at r: '_ " (i) inside”theriinsulating sphere (r<a) 9m? W .. Q7511") '. (ii) between the insulating sphere and the conducting shell (a<r<b) 6:, ,‘ﬂg/‘pee §¢(,ﬁ/ :Q A 505 g” Y¢ﬂF7Zﬂ /, / ﬂ/Qa é» {/h(r( , g4“ / Q 4V7]; [2 / a; ........ _:_- w h E \ (iii) within the we“ of the conducting she“ _- a. k b<r<c _\ A Q _ I_ J_ \ I ., ( ) / /l g I‘Vgé 7/ 'I " 3 I "7 wow £1 0 M‘s/04g < - :~-._b \ \, / conducioi uncharged (iv) outside of the conducting shell (r>c) 2g” Cﬂfﬂaze ff ’\" gw‘ ﬂgf 5"447’1 07/1 deaf/1% ‘Id @’ SC)? (“4 g/aé é, gar/WOC MHZ r> a a 62 5,1; QVQ:£,X¢/VWZ:Q w 7 e gnjf 4%,»; e/‘J/Ow (/0555 JL gym 4(er 5/]; q//Gl(/\. C/m/ g; Mpamm’ M x‘ng/pZe/ya/g,/Z€ <7W/W* :9 //2/ 5/4073 9 3 0, f5 ED gﬂf ((5/5 C/M/ﬁﬂ Jamilqﬂ’ﬂ‘, d W /\n§/&é€/69M/é’ﬂé 5/“Qg/5‘V (b) Find the induced charge on the inner and outer surfaces of the conducting shell. E 4% F: g I . 20‘. 2:“: made“ €QW: [/15 62 // Mé/Mce 47729 [3 éeﬁygm afﬁﬂe { did/r conductor 217W ,3 Jig/WA C Why/k a 5/05?” 1L0 [34/0 0%an » J; fry/ﬁg; ’ (If? N F) , [Mg/X? / 75””4‘ C‘Z‘m‘” “isffjﬂ ’ «2'7" 4/ (b) Find the induced charge on outer surface of the conducting she". W, C] , . “:1”: [OK 0mg {51%1/06 ' in 3 a >/ 1/ QV/féd 6 2 conductor ...> 3) ‘f’ C) d ‘ I I W M 3(1— Xﬁ; qinsidezo'inA 4m 6 Z gag ,. r6? 6:90sz juf/Qéé v éﬂfc ...
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Conductor_Gauss_Law_example - EXAMPLE(based on problem 65...

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