A 50µC charged sphere of mass 0.050kg is 2.0m away from a -30 µC charged sphere. The 50 µC charged sphere is moved to a point 1.2m away. What is the change in energy of this sphere ?
To find the change in energy of a charged sphere, we need to calculate the potential energy before and after the movement.
The formula for the potential energy of a charged sphere is given by:
U = (k * q1 * q2) / r
where U is the potential energy, k is the electrostatic constant (k = 9 * 10^9 N m^2/C^2), q1 and q2 are the charges of the spheres, and r is the distance between the spheres.
First, let's calculate the potential energy before the movement.
q1 = 50 µC = 50 * 10^-6 C
q2 = -30 µC = -30 * 10^-6 C
r1 = 2.0 m
U1 = (k * q1 * q2) / r1
Plugging the values into the formula:
U1 = (9 * 10^9 N m^2/C^2) * (50 * 10^-6 C) * (-30 * 10^-6 C) / 2.0 m
Now, let's calculate the potential energy after the movement.
r2 = 1.2 m
U2 = (k * q1 * q2) / r2
Plugging the values into the formula:
U2 = (9 * 10^9 N m^2/C^2) * (50 * 10^-6 C) * (-30 * 10^-6 C) / 1.2 m
Finally, we can find the change in energy by subtracting the initial potential energy from the final potential energy:
ΔU = U2 - U1
Now, you can plug the values into the equations to find the change in energy for the charged sphere.