A point charge 2nC is located at origin. What is the potential at (1,0,0)?

To calculate the electric potential ( V ) at a point in space due to a point charge, we can use the formula:

[

V = frac{k cdot Q}{r}

]

Where:

– ( V ) is the electric potential,

– ( k ) is Coulomb’s constant, approximately ( 8.99 times 10^9 , text{N m}^2/text{C}^2 ),

– ( Q ) is the charge (in coulombs),

– ( r ) is the distance from the charge to the point where the potential is being calculated (in meters).

In this case:

– The point charge ( Q = 2 , text{nC} = 2 times 10^{-9} , text{C} ).

– The point where we want to calculate the potential is at ( (1,0,0) ) meters, which is 1 meter away from the origin where the charge is located.

Now, substituting the values into the formula:

1. Calculate ( r ):

[

r = 1 , text{m}

]

2. Substitute ( k ), ( Q ), and ( r ) into the formula:

[

V = frac{(8.99 times 10^9) cdot (2 times 10^{-9})}{