The potential of a point is 10V. If the potential of infinity was taken to be 5V instead of zero. The potential of A would be unchanged. This statement is

True

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False

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Solution

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
$V_{A} - V_{i n f i n i t y} = 10 V a s V_{i n f i n i t y} = 0, V_{A} = 10 V I f V_{i n f i n i t y} = 5 v t h e n V_{A} - 5 V = 10 V \to V_{A} = 15 V$
Hence the potential at point A changes.

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