Two point charges are separated by a distance of 30.0 cm. The numerical value of one charge is twice that of the other. Each charge exerts a force of magnitude 65.0 N on the other.
Find the magnitude of the charge with a greater magnitude.

Respuesta :

Answer:

The charge with greater magnitude = [tex]3.60\times 10^{-5}C[/tex]

Explanation:

We have the distance between two charges = 30 cm = 0.3 m

Force between two charges = 65 N

Let the first charge be q

Then according to question second charge will be 2q

According to coulombs law force between two charges

[tex]F=\frac{Kq_1q_2}{r^2}[/tex]

Where K is constant which value is [tex]K=9\times 10^9[/tex]

So [tex]65=\frac{9\times 10^9\times 2q^2}{0.3^2}[/tex]

[tex]q^2=3.25\times 10^{-10}[/tex]

[tex]q=1.80\times 10^{-5}C[/tex]

So larger charge [tex]2q=2\times 1.80\times 10^{-5}=3.60\times 10^{-5}C[/tex]