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What is the formula for electric potential due to a point charge?

1 Answer

The formula for the electric potential (

V) due to a point charge (

q) at a distance (

r) from the point charge is given by Coulomb's law:


=




V=
r
k⋅q
    ​


Where:


V is the electric potential at the point in space,

k is Coulomb's constant (
8.9875
×
1
0
9

N

m
2
/
C
2
8.9875×10
9
N⋅m
2
/C
2
 in SI units),

q is the magnitude of the point charge in Coulombs (

C),

r is the distance from the point charge in meters (

m).

It's important to note that the electric potential at a point in space is a scalar quantity, and it represents the work done in bringing a unit positive test charge from infinity to that point, divided by the charge of the test charge.
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