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True or false: a point at zero potential must have zero field.

  • A.False, the midpoint between equal opposite charges having field but no potential
  • B.True, since the potential is the integral of the field
  • C.True, provided no charge lies at that point
  • D.True, if the reference is taken at infinity

Answer: A

The midpoint between equal and opposite charges is at zero potential and has a field of twice the contribution of either charge. The two statements about field and potential are independent of one another in both directions.

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