The force of attraction between a -165.0 uC and +115.0 C charge is 6.00 N. What is the separation between these two charges in meter rounded to three decimal places? (k = 1/ 40 = 9.00 x 10°N.m2/C2, 1°C = 10 C)

Respuesta :

Answer:

r = 5.335 meters

Explanation:

Given that,

Charge 1, [tex]q_1=-165\ \mu C[/tex]

Charge 2, [tex]q_2=115\ \mu C[/tex]

Force of attraction between two charges, F = 6 N

The force of attraction between two charges is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex], r is the separation between two charges

[tex]r=\sqrt{\dfrac{kq_1q_2}{F}}[/tex]

[tex]r=\sqrt{\dfrac{9\times 10^9\times 165\times 10^{-6}\times 115\times 10^{-6}}{6}}[/tex]

r = 5.335 m

So, the separation between two charges is 5.335 meters. Hence, this is the required solution.