Question #184906

When moving from infinity to towards a negative point chargem the electric potential

a. remains the same

b. undetermined

c. increases

d. decreases

Why do you say so? Explain.

Expert's answer

The potential at infinity is chosen to be zero.

Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared:

E=FqE=\frac{F}{q}

E=kqr2=FqE=\frac{kq}{r^2} =\frac{F}{q}


Recall that the electric potential V is a scalar and has no direction, whereas the electric field E is a vector.

Then we say that option (d) is correct option

V is inversely proportional to distance r

But charge is negative (-Q)

V=−kQrV= -\frac{kQ}{r}

V=−[kQr]V= -[\frac{kQ}{r}]

Then option (d)is correct


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