P25_080

# P25_080 - 80(a The charges are equal and are the same...

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80. (a) The charges are equal and are the same distance from C . We use the Pythagorean theorem to Fnd the distance r = p ( d/ 2) 2 +( d/ 2) 2 = d/ 2. The electric potential at C is the sum of the potential due to the individual charges but since they produce the same potential, it is twice that of either one: V = 2 q 4 πε 0 2 d = 2 2 q 4 0 d = (8 . 99 × 10 9 N · m 2 / C 2 )(2) 2(2 . 0 × 10 6 C) 0 . 020 m =2 . 54 × 10 6 V . (b) As you move the charge into position from far away the potential energy changes from zero to qV , where V is the electric potential at the Fnal location of the charge. The change in the potential energy equals the work you must do to bring the charge in: W = = ( 2 . 0 × 10 6 C )(
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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