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The potential difference of an energy source that provides 50 mJ of energy for every micro coulomb of charge is -

  • A.5 V
  • B.50 V
  • C.500 V
  • D.50 kV

Answer: D

The potential difference is 50 kV.

Potential difference is energy per unit charge, \(V = W/Q\).

\[ \begin{aligned} V &= \frac{50 \times 10^{-3}\ \text{J}}{1 \times 10^{-6}\ \text{C}} \\ &= 5 \times 10^{4}\ \text{V} = 50\ \text{kV} \end{aligned} \]

50 V comes from ignoring the difference between the milli- and micro- prefixes, and 5 V and 500 V misplace the power of ten in other ways.

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