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## Example 5.3: Electric potential due to point charges

Question:  A particle of charge is located on the -axis at the point . A second particle of charge is placed on the -axis at . What is the absolute electric potential at the origin ( )? How much work must we perform in order to slowly move a charge of from infinity to the origin, whilst keeping the other two charges fixed?

Solution: The absolute electric potential at the origin due to the first charge is Likewise, the absolute electric potential at the origin due to the second charge is The net potential at the origin is simply the algebraic sum of the potentials due to each charge taken in isolation. Thus, The work which we must perform in order to slowly moving a charge from infinity to the origin is simply the product of the charge and the potential difference between the end and beginning points. Thus,    Next: Example 5.4: Electric potential due Up: Electric Potential Previous: Example 5.2: Motion of an
Richard Fitzpatrick 2007-07-14