Two object accumulated a charge of 4.5 μC and another a charge of 2. 8 μC. These two objects are separated by a distance of 2.5 cm. Calculate the magnitude of the electric force between these two objects.

Respuesta :

Answer: 181.23 C

Explanation:

According to Coulomb's Law:

[tex]F_{E}= K\frac{q_{1}.q_{2}}{d^{2}}[/tex]  

Where:

[tex]F_{E}[/tex]  is the electrostatic force

[tex]K=8.99(10)^{9} Nm^{2}/C^{2}[/tex] is the Coulomb's constant  

[tex]q_{1}=4.5 \mu C=4.5(10)^{-6} C[/tex] is the charge of object 1

[tex]q_{2}=2.8 \mu C=2.8(10)^{-6} C[/tex] is the charge of object 2

[tex]d=2.5 cm \frac{1 m}{100 cm}=0.025 m[/tex] is the separation distance between the charges

[tex]F_{E}=8.99(10)^{9} Nm^{2}/C^{2}\frac{(4.5(10)^{-6} C)(2.8(10)^{-6} C)}{(0.025 m)^{2}}[/tex]  

[tex]F_{E}=181.23 C[/tex]