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The potential of a continuous charge distribution is found by

  • A.taking the divergence of the flux density over the region
  • B.integrating the contribution of each element over the distribution
  • C.differentiating the field with respect to distance
  • D.multiplying the total charge by the mean distance to the point

Answer: B

Each element contributes its own charge over \( 4\pi\epsilon_0 \) times its distance, and being scalars these add without regard to direction. That scalar addition is why the potential is usually computed first and the field obtained from it afterwards.

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