calculate the electric potential due to 0.001c0ulomb of charge at a distance of 100cm.
To calculate the electric potential due to a point charge, we can use the formula:
V = k * (Q / r)
where:
V is the electric potential,
k is the electrostatic constant (k ≈ 9 x 10^9 Nm^2/C^2),
Q is the magnitude of the charge, and
r is the distance from the charge.
Given that Q = 0.001 C and r = 100 cm (which needs to be converted to meters), we can plug these values into the formula to find the electric potential.
First, let's convert 100 cm to meters:
100 cm × (1 m / 100 cm) = 1 meter
Now we can substitute the values into the formula:
V = (9 x 10^9 Nm^2/C^2) * (0.001 C / 1 m)
Calculating this, we find:
V = 9 x 10^6 Nm^2/C
Therefore, the electric potential due to the 0.001 C charge at a distance of 100 cm is 9 x 10^6 Nm^2/C.