Consider two charges placed a fixed distance apart.If the charge on each of two small spheres is halved, the force of attraction between the spheres will be ___________.
A. doubled.
B. quadrupled.
C. halved.
D. quartered.
E. the same as before.

Respuesta :

To solve this problem we will apply the expression of force given in Coulomb's law. There we will divide each of the charges by two and obtain the final value of the force. This will allow us to conclude the correct answer.

[tex]F= \frac{k q_1 q_2}{r^2}[/tex]

Here,

k = Coulomb's constant

[tex]q_{1,2}[/tex] = Each charge

r = Distance between them

So when the charge on each is halved

[tex]F= \frac{k (q_1/2) (q_2/2)}{r^2}[/tex]

[tex]F =\frac{1}{4} \frac{k q_1 q_2}{r^2}[/tex]

Force becomes one quarter of the original force.

Therefore the correct answer is D . Quartered