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Match the arrangement with the potential at the point named.

1. Midpoint of two equal positive charges   2. Midpoint of two equal and opposite charges   3. Interior of a hollow charged conductor

P. Zero   Q. Equal to the surface value   R. Twice the contribution of either charge

  • A.1-R, 2-Q, 3-P
  • B.1-Q, 2-P, 3-R
  • C.1-R, 2-P, 3-Q
  • D.1-P, 2-R, 3-Q

Answer: C

Correct answer: 1-R, 2-P, 3-Q

Potential is a scalar, so contributions simply add with their signs. At the midpoint of two like charges the two positive contributions add to twice either one. At the midpoint of two opposite charges they cancel to zero - though the field there is not zero, the two field vectors pointing the same way. And inside a hollow conductor the potential holds its surface value.

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