Question Detail
Question
A charge of 5 uC is 120 m from a point where the potential is 10 V. How far is it when the potential is 30 V?
Correct Answer
Option B is the correct answer.
Detailed Explanation
For a point charge, V = kQ/r, so V is inversely proportional to r (V x r = constant). V1 r1 = V2 r2 (10)(120) = (30) r2 r2 = 1200/30 = 40 m. Makes sense: to TRIPLE the potential you must move THREE TIMES closer.
Hint
For a point charge, V = kQ/r, so V is inversely proportional to r (V x r = constant).