P22_004

# P22_004 - sphere 1s charge decreases to q/ 2. Then sphere 3...

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4. The fact that the spheres are identical allows us to conclude that when two spheres are in contact, they share equal charge. Therefore, when a charged sphere ( q ) touches an uncharged one, they will (fairly quickly) each attain half that charge ( q/ 2). We start with spheres 1 and 2 each having charge q and experiencing a mutual repulsive force F = kq 2 /r 2 . When the neutral sphere 3 touches sphere 1,
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Unformatted text preview: sphere 1s charge decreases to q/ 2. Then sphere 3 (now carrying charge q/ 2) is brought into contact with sphere 2, a total amount of q/ 2 + q becomes shared equally between them. Therefore, the charge of sphere 3 is 3 q/ 4 in the Fnal situation. The repulsive force between spheres 1 and 2 is Fnally F = k ( q 2 ) ( 3 q 4 ) r 2 = 3 8 k q 2 r 2 = 3 8 F ....
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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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