Electric potential due to a point charge q at a distance r from the point is _______ (in the air).(a) \(\frac {q}{r}\)(b) q*r(c) \(\frac {q}{r^2}\)(d) \(\frac {-q}{r}\)I had been asked this question in exam.Enquiry is from Electrostatic Potential due to a Point Charge topic in chapter Electrostatic Potential and Capacitance of Physics – Class 12

Electric potential due to a point charge q at a distance r from the po

1.	Electric potential due to a point charge q at a distance r from the point is _______ (in the air).(a) \(\frac {q}{r}\)(b) q*r(c) \(\frac {q}{r^2}\)(d) \(\frac {-q}{r}\)I had been asked this question in exam.Enquiry is from Electrostatic Potential due to a Point Charge topic in chapter Electrostatic Potential and Capacitance of Physics – Class 12
Answer» Correct answer is (a) \(\frac {q}{r}\) EASY explanation: FORCE on a unit point charge kept at a distance r from the charge=\(\frac {q}{r^2}\). Therefore, WORK done to BRING that point charge through a small distance DR=\(\frac {q}{r^2}\)*(-dr). Therefore, the potential of that point is =\(\int_\alpha^r\frac {-q}{r^2}dr = \frac{q}{r}\).

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