Question

A point charge + Q is placed at point O, as shown in the figure. Is the potential difference V A – V B positive, negative or zero?

Answer 1

Electric potential at a distance r from the point charge + Q is given by
V r = 1 4 π ε 0 Q r

Potential at point A will be
V r A = 1 4 π ε 0 Q r A

Similarly, potential at point B will be 
V r B = 1 4 π ε 0 Q r A

∵ r A < r B ⇒ V A > V B ∴ V A - V B > 0



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