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Twoparticles with Q 1 = 40 µCand Q 2 = 88 µC are initially separated by adistanc

ID: 1666739 • Letter: T

Question

Twoparticles with Q1 = 40 µCand Q2 = 88 µC are initially separated by adistance of 2.8 m and thenbrought closer together so that the final separationis 1.4m. What is the change inthe electric potential energy?
J
Twoparticles with Q1 = 40 µCand Q2 = 88 µC are initially separated by adistance of 2.8 m and thenbrought closer together so that the final separationis 1.4m. What is the change inthe electric potential energy?
J
Twoparticles with Q1 = 40 µCand Q2 = 88 µC are initially separated by adistance of 2.8 m and thenbrought closer together so that the final separationis 1.4m. What is the change inthe electric potential energy?
J
Twoparticles with Q1 = 40 µCand Q2 = 88 µC are initially separated by adistance of 2.8 m and thenbrought closer together so that the final separationis 1.4m. What is the change inthe electric potential energy?
J

Explanation / Answer

Charges q = 40 * 10 ^ -6 C

           q’= 88 * 10 ^ -6 C

Initial separation r = 2.8 m

Final separation r ‘ = 1.4 m

Initial potential energy U = -Kqq’ / r

Where K = 8.99 * 10 ^ 9 N m^2 / C ^ 2

Plug the values we get U = -11.3 J

Final potential energy U ‘ = Kqq’ /r’

                                          = -22.6 J

Change in potential energy = U ‘ – U = -11.3J