Consider an infinite sequence of electric charges 7e, -7e, 7e, -7e, ..., on a one-dimensional line, each separated by a distance R. Given that the potential energy between any pair of point charges q; and q; separated a distance rij is V = determine a. qiqj 4π€orij calculate the total potential energy of one charge due to all other charges on the line. Writing this as e² 4πTEOR' 2 V = a-
Consider an infinite sequence of electric charges 7e, -7e, 7e, -7e, ..., on a one-dimensional line, each separated by a distance R. Given that the potential energy between any pair of point charges q; and q; separated a distance rij is V = determine a. qiqj 4π€orij calculate the total potential energy of one charge due to all other charges on the line. Writing this as e² 4πTEOR' 2 V = a-
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Transcribed Image Text:Consider an infinite sequence of electric charges 7e, -7e, 7e, -7e, ..., on a one-dimensional line, each separated by a distance R. Given
that the potential energy between any pair of point charges q; and q; separated a distance rij is
V =
qiqj
4περWij
calculate the total potential energy of one charge due to all other charges on the line. Writing this as
e²
4π€OR'
determine a.
V = a-
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