Lect07 - " 5 Two spherical conductors are separated by...

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Unformatted text preview: " # ! 5 % Two spherical conductors are separated by a large distance. They each carry the same positive charge Q. Conductor A has a larger radius than conductor B. Compare the potential at the surface of conductor A with the potential at the surface of conductor B. B. VA = VB C. VA < VB A. VA > VB 6 $ % ' The two conductors are now connected by a wire. How do the potentials at the conductor surfaces compare now? A. VA > VB B. VA = VB C. VA < VB 7 & % What happens to the charge on conductor A after it is connected to conductor B by the wire? B. QA decreases C. QA doesn't change A. QA increases 8 ( Two parallel plates of equal area carry equal and opposite charge Q0. The potential difference between the two plates is measured to be V0. An uncharged conducting plate (the green thing in the picture below) is slipped into the space between the plates without touching either one. The charge on the plates is adjusted to a new value Q1 such that the potential difference between the plates remains the same. ) * + + + + + ,,, 0/ ./ +Q d -Q " 2 ' " " 9 E V ' + ' + ' / + /1 1 4 y 6 ' +Q 2 E 7 5 ,, d x E -Q o 9 Q A 8 V d 0 E dy V d 0 ( Edy) E dy 0 d Q d oA 9 8 /1 1 0A C 12 Q V Q Qd / o A C d ' 1 1 3 / ; < / % d +Q0 -Q0 +Q1 ; + / d -Q1 t * + / 9= / > / ?= / / = / @/ / ,, * 9< A 9B B C " * 9B A 1 1 : 14 2 +Q0 d -Q0 2 ' ,, t , 9= ./ ? = 0/ = D= =B ' ' % % + + 17 2 * G ,, +Q0 -Q0 +Q0 E E=0 E -Q0 2 * 9" D C 2 E B C 2 ,,, ' F ' 1 1 19 8 B + ' +Q0 8 = E -E0 V ( y) d y t y 0 E dy y d E=0 t V -Q0 2 97 8 ?7 8 7 8 8 86 7, " y 21 6 H 7 6 . 7 Two parallel plates of equal area carry equal and opposite charge Q0. The potential difference between the two plates is measured to be V0. An uncharged conducting plate (the green thing in the picture below) is slipped into the space between the plates without touching either one. The charge on the plates is adjusted to a new value Q1 such that the potential difference between the plates remains the same. ? % % A) Q1 < Qo B) Q1 = Qo C) Q1 > Qo $ Two parallel plates of equal area carry equal and opposite charge Q0. The potential difference between the two plates is measured to be V0. An uncharged conducting plate (the green thing in the picture below) is slipped into the space between the plates without touching either one. The charge on the plates is adjusted to a new value Q1 such that the potential difference between the plates remains the same. What happens to C1 relative to C0? % ' A) C1 > Co B) C1 = Co C) C1 < Co 2 86 /6 8 8 6 H 7 % 7 7 1 1 / I / I6 6 H 77 /I 9 9I 9I6 H 7 & 85 ? 9B A 31 ( cross-section cross& $ 9 & + 6 @@ 7= , $ 2 9 Q C V ; 9 " " 8 5 5 ? + + 'J / 6 = = ./ ' + 8' + = /I8 , " 16 1 H/ 7 ,, 7 ' /K 33 ) cross-section cross& $ 9 & + 6 @@ 7= $ 2 , C 9 H H H H ./ 5L ; " % 8 /I85 7 6 - Q V + 5 H/ A M + cross-section cross+ + + + + + + & $ ./ + + + 9 & + 6 @@ 7= $ + + + 0/ + 2 697 2 , ./ & 6? 7 A 2 % M + +5 E dA + + + + + 2 , C Q V , 6 7' 6D 7 $ Qenclosed o 6' + $ &7 Qenclosed 0 ./ / ' 6 $7 ./H/ 0 Qenclosed 3 cross-section cross+ + + + + + + & $ ./ + + + 9 + & + 6 @@ 7= $ + + + 0/ + 2 697 2 , 0/ 6? 7 6 7' A 2 % M + +5 E dA + + + + 2 , C Q V , 6D 7 Qenclosed o 6' + 7 Qenclosed 0 ./ / ' 6 7 0 Qenclosed : cross-section cross+ + + + + + + & $ ./ + + + 9 6 @@ 7= 2 $ + & + + + 0/ + > > 697 2 $5 2 6? 7 1 4 6 7, Q o r 2 , A M +5 E dA + + + + + , C Q V Q o Lr 6 7 1 2 6D 7 1 2 2Q 1 2Q 6 7 4 o r2 o Lr Qenclosed o E 2 rL Q o D E 1 2 5< 0 Q Lr ; cross-section cross+ + + + + ' + + & $ ./ + + + 9 6 @@ 7= 2 $ + & + + + 0/ + + > 2 " 5 67 / 8, + 2 697 8 08 > + + + + , C (2 / 0 2 Q V > > $5 E 1 2 0 Q Lr ) 8 8 08 , 6? 7 8 08 6 78 08 @ cross-section cross+ + + + + + + & $ ./ + + + 9 6 @@ 7= 2 $ + & + + + 0/ + + 2 Q 2 / 0 2 8 a ln 1 o L a4 8 2 08 Q a ln 4 a1 oL 697 (2 ) 6? 7 V 8 a3 + + + + , C , Q V Q > > $5 E Q 1 2 Q o rL a ln 3 2 o L a2 a ln 2 2 o L a3 6 7 Q dr a2 2 o L r / 6D 7 V dr 2 oL a r 2 Q a3 V Q 2 0 L ln a a 3 2 C Q V 2 L ln(a / a ) 0 3 2 ...
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