Question

What is the electrical force between two charges that are each
2.5 x 10-6 C and separated by 3.0 cm from each other?
Remember to identify all data (givens and unknowns), list
equations used, show all your work, and include units and the
proper number of significant digits to receive full credit. (3
points)

Answer 1

Considering the Coulomb's Law, the electrical force between two charges that are each 2.5×10⁻⁶ C and separated by 3.0 cm from each other is 62.5 N.

Coulomb's Law

From Coulomb's Law it is possible to predict what the electrostatic force of attraction or repulsion between two particles will be according to their electric charge and the distance between them.

From Coulomb's Law, the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them:

$F=k\frac{Qq}{d^{2} }$

where:

• F is the electrical force of attraction or repulsion. It is measured in Newtons (N).
• Q and q are the values ​​of the two point charges. They are measured in Coulombs (C).
• d is the value of the distance that separates them. It is measured in meters (m).
• K is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ $\frac{Nm^{2} }{C^{2} }$.

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

Electrical force in this case

In this case, you know that two charges are each 2.5×10⁻⁶ C and separated by 3.0 cm (or 0.03 m, being 1 cm= 0.01 m) from each other.

Replacing in the Coulomb's Law, you get:

F=$9x10^{9}\frac{Nm^{2} }{C^{2} } \frac{2.5x10^{-6} Cx 2.5x10^{-6} C}{(0.03m)^{2} }$

Solving:

F=$9x10^{9}\frac{Nm^{2} }{C^{2} } \frac{6.25x10^{-12} C^{2} }{(0.03m)^{2} }$

F=$9x10^{9}\frac{Nm^{2} }{C^{2} } 6.94x10^{-9} \frac{ C^{2} }{m^{2} }$

F= 62.5 N

Finally, the electrical force between two charges that are each 2.5×10⁻⁶ C and separated by 3.0 cm from each other is 62.5 N.

Learn more about Coulomb's Law:

brainly.com/question/26892767

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