A particle with a charge of 5.1 μC is 3.02 cm from a particle with a charge of 2.51 μC . The potential energy of this two-particle system, relative to the potential energy at infinite separation, is

Respuesta :

Answer:

U = 3.806 J

Explanation:

The potential energy between the two charges q1 and q2, is given by the following formula:

[tex]U=k\frac{q_1q_2}{r}[/tex]         (1)

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

q1 = 5.1*10^-6 C

q2 = 2.51*10^-6 C

r: distance of separation between particles = 3.02cm = 3.02*10^-2 m

You replace the values of all parameters in the equation (1):

[tex]U=(8.98*10^9Nm^2/C^2)\frac{(5.1*10^{-6}C)(2.51*10^{-6}C)}{3.02*10^{-2}m}\\\\U=3.806J[/tex]

The potential energy of the two particle system is 3.806 J