Lesson_2.4_Homework_and_Solutions

Lesson_2.4_Homework_and_Solutions - Lesson 2.4 Homework...

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Lesson 2.4 Homework Solutions 1. 9 9 2 2 3 1 ( ) 9 10 8 10 72 600 2 (2 ) 2 120 0.24 0 72, 208 72 3 0.24(3 0.24 0.24) x x L kQ E x x L L L L L L E L m N C - = - = - × × × = = - = = × - = × = 2. Field just outside a charged sphere 2 2 11 9 1 2 2 2.75 10 0.035 9 10 3.74 10 N C kq E r Er q k - - = × × = = = × × Since this field points towards the ball, the charge on it is negative. Q = - 3.74 × 10 -11 N.C -1 . 3. The field at a point distance r from an infinitely long conductor having a linear charge density λ is 6 5 12 6 5 12 4 1 4 1 1 2 1 2 1.0 10 2.5 .8 10 ( ) 2 8.85 10 5.0 1 2.8 10 ( ) 2 8.85 10 2 0 10 . r o r m r m N E r i E C N C ii E λ πε π - = - - - = - - = × = = × × × = = × × × × Both these fields are directed towards the wire.
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4. (i) Field inside a charged conducting sphere = 0 Therefore, at r = 2.9, E = 0. (ii) Field at a point outside a charged sphere is: 1 2 9 1 6 2 3.1 9 6 2 6 3278 875 9 10 3.5 10 3.1 9 10 3.5 10 6 r r m r m kQ E N r C E C
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Lesson_2.4_Homework_and_Solutions - Lesson 2.4 Homework...

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