# physics

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Four identical charges (+4.0 uC each) are brought from infinity and fixed to a straight line. The charges are located 0.33m apart. Determine the electric potential energy of this group.

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Add up the work required to bring the charges into their places, one at a time.

Let the charge separation for adjacent charges be a = 0.33 m
The Coulomb constant is k, and each charge is Q = 4*10^-6 C

First charge: work = 0
Second charge: work = kQ/a
Third charge: work = kQ/a + kQ/(2a)
Fourth charge: work = kQ/a + kQ/(2a) + kQ/(3a)

Add them for the total potential energy

PE = (13/3) kQ/a

• physics -

PE=(13/3)k(Q^2)/a

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45

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