Two new particles with identical positive charge q3 are placed the same 0.0134 m apart. The force between them is measured to be the same as that between the original particles. What is q3?
The charge of q3 would be the same charge as the two identical particles.
Explanation:
Here, we can use the coulombs' equation of force which is an equation used to find the force between two point charges using the distance and the magnitude of the charges.
The equation is, F = [tex]\frac{k q_{1}q_{2} }{r^{2} }[/tex] . We can rewrite the equation for two identical positive charges and the third q3 placed there.
It is [tex]\frac{k q^{2}}{r^{2}} = \frac{k q q_{3}}{r^{2}}[/tex] Here, k and r get cancelled. Hence we can re-write the equation as [tex]q_{3}= q[/tex]. So, the charge of q3 is the same as the identical charges.
