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V = potential at any point ...
V = kq/r
another definition => workdone in bringing +ve test charge(q=1) from infinity to a point which is at a distance r , near a charge q ...
F = k(q)(qo)/r2 (from culambs law)
qo is +ve test charge , F is force bw test charge & q charge...
F = -dU/dr
dU/dr = -F = -kqqo/r2
dU = -kqqo(1/r2)dr lim from infinity to r
U = -kqqo(-1/r) lim infinity to r [ (1/r2)dr = -1/r ]
U = kqqo/r (qo = 1)
so , U = kq/r
here K is columbs constant , k = 9*109units , q is charge ...
this is the required result...
approve if u like my ans
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