problem22_63

University Physics with Modern Physics with Mastering Physics (11th Edition)

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22.63: a) : 0 = x no field contribution from the sphere centered at the origin, and the other sphere produces a point-like field: i i E ˆ 4 4 1 ˆ ) 2 ( 4 1 ) 0 ( 2 0 2 0 R Q πε R Q πε x - = - = = . b) : 2 R x = the sphere at the origin provides the field of a point charge of charge 8 Q q = since only one-eighth of the charge’s volume is included. So: . ˆ 18 4 1 ˆ ) 9 / 4 2 / 1 ( 4 1 ˆ ) 2 3 ( ) 2 ( ) 8 ( 4 1 ) 2 ( 2 0 2 0 2 2 0 i i i E R Q πε R Q πε R Q R Q πε R x = - =
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Unformatted text preview: -= = c) : R x = the two electric fields cancel, so . = E d) : 3 R x = now both spheres contribute fields pointing to the right: . ˆ 9 10 4 1 ˆ ) 3 ( 4 1 ) 3 ( 2 2 2 i i E R Q πε R Q R Q πε R x = + = =...
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  • Electric charge, Fundamental physics concepts, electric fields cancel

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