One million spherical points join a point.Radius of any point is r=5x10^-4cm, while electrical load is q=1.6x10^-14C.What is the energy that should be spent for possession of electrical forces?
To calculate the energy spent on the electrical forces, we need to use the formula for the potential energy (U) of a charged sphere:
U = (3/5) * (k) * [(q^2) / (r)]
Where:
U = Potential energy
k = Coulomb's constant (9 x 10^9 Nm^2/C^2)
q = Electric charge (in Coulombs)
r = Radius of the sphere (in meters)
Let's calculate step by step:
1. Convert the radius from centimeters to meters:
r = 5 x 10^-4 cm = 5 x 10^-6 m
2. Substitute the given values into the formula:
U = (3/5) * (9 x 10^9 Nm^2/C^2) * [(1.6 x 10^-14C)^2 / (5 x 10^-6 m)]
3. Square the electric charge:
U = (3/5) * (9 x 10^9 Nm^2/C^2) * (2.56 x 10^-28 C^2 / (5 x 10^-6 m)]
4. Simplify the expression:
U = 2.304 x 10^-19 Nm
Therefore, the energy that needs to be spent for the possession of electrical forces is approximately 2.304 x 10^-19 Nm.