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Discussion

A student reports a potential of 500 V and a field of 500 V/m at the same point, 1 m from a point charge. The relation between the two figures is

  • A.consistent, the field being the potential divided by the distance for a point charge
  • B.inconsistent, the field having to be the potential multiplied by the distance
  • C.inconsistent, no relation existing between the two quantities
  • D.consistent only if the medium is not free space

Answer: A

For a point charge the potential is \( Q/4\pi\epsilon_0 r \) and the field is that again divided by r, so at one metre they take the same numerical value. At two metres the potential would be 250 V and the field 125 V/m.

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