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Why do opposite charges attract?

why do like charges repel?

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opposite charges attract, because the force that the 2 charges exert on each other is negative. Imagine you have 2 charges, Q1(+) and Q2(-). Q1 is positively charged and Q2 is negatively charged, and they are located w/in a distance of R. According to the coulomb's law, the positive charged atom will produce a positive electrical field, E1=(kQ1/(R^2), and the negative charged atom will produce a negative electrical field, which is -E2=(-kQ2/(R^2). The force that Q1(+) exerted on Q2 is Q1*(-E2), which means Q1 is inducing a negative F on Q2, and causing Q2 to move towards Q1. Vice versa, the force that Q2(-) exerted on Q1 is -Q2*(E1), which causes Q1 to move towards Q2.
like charges repel, b/c the force exerted on each of atom is positive, which forces the atom to go outwards.

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Opposite charges attract because of the negative and positive energy charges. An electrical force causes like charges to repel and opposite charges to attract. Visit http://www.physicsclassroom.com/class/estatics/u8l1c.cfm for more details on what exactly causes the attraction.

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It's like a magnet: if there is a negative one and a positive one, they attract (hence the term "opposites attract.") If two positive and two negative charges get close, they repel..