21_Chapter 15 HomeworkCH15 Electric Forces and Electric Fields

# 21_Chapter 15 HomeworkCH15 Electric Forces and Electric Fields

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Electric Forces and Electric Fields 21 (c) Outside the spherical dome, 2 e k q E r = . Thus, at 4.0 m r = , ( )( ) ( ) 9 2 2 4 2 8.99 10 N m C 2.0 10 C C 4.0 m E × × = = 5 1.1 10 N × 15.35 For a uniformly charged sphere, the field is strongest at the surface. Thus, max max 2 e k q E R = , or ( ) ( ) 2 6 2 3 max max 9 2 2 2.0 m 3.0 10 N C 1.3 10 C 8.99 10 N m C e R E q k × = = = × × 15.36 If the weight of the drop is balanced by the electric force, then mg or the mass of the drop must be q E eE = = ( ) ( ) 19 4 16 2 1.6 10 C 3 10 N C 5 10 kg 9.8 m s eE m g × × = = × But, 3 4 3 m V r ρ ρ π = = and the radius of the drop is 1 3 3 4 m πρ r = ( ) ( ) 1 3 16 7 3 3 5 10 kg 5.2 10 m or ~ 1 m 4 858 kg m r r µ π ×
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