When point charges q = +8.4 uC and q2 = +5.6 uC are brought near each other, each experiences a repulsive force of magnitude 0.66 N. Determine the distance between the charges.ns

Respuesta :

Answer:

Distance between the charges, r = 0.8 meters

Explanation:

Given that,

Charge 1, [tex]q_1=+8.4\ \mu C=+8.4\times 10^{-6}\ C[/tex]

Charge 2, [tex]q_2=+5.6\ \mu C=+5.6\times 10^{-6}\ C[/tex]

Repulsive force between charges, F = 0.66 N

Let r is the distance between charges. The formula for the electrostatic force is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]

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

[tex]r=\sqrt{\dfrac{9\times 10^9\times 8.4\times 10^{-6}\times 5.6\times 10^{-6}}{0.66}}[/tex]

r = 0.8009 meters

or

r = 0.8 meters

So, the distance between the charges i 0.8 meters. Hence, this is the required solution.

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