Question

The potential of a point is 10V with respect to infinity. "If the potential of infinity was taken to be 5V instead of zero the potential of A would be unchanged"-Is this statement correct?

• A. True
• B. False

Answer 1

The correct option is B False

Potential is a relative quantity. By potential of a point we mean " the potential of the point with respect to infinity". By convention the potential of infinity is taken to be zero. So we have
$V_A-V_{infinity}=10Vas{V}_{infinity}=0,V_A=10VIf{V}_{infinity}=5Vthen{V}_A-5V=10V\to V_A=15V$
Hence, the potential at point A changes.