Acharge +q is located at the origin, while an identical charge is located on the x axis at x = +0.57 m. a third charge of +2q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. where should the third charge be located?

The third charge placed is 0.80 m.

Explanation:

Given that,

Distance = 0.57 m

First charge = q

Third charge = 2q

We need to calculate the electrostatic force on charge q₁ due to q₂

Using formula of electrostatic force

When placed another charge q₃ at certain distance from origin, then the net force on charge q₁ due to both charges is

The net electrostatic force on the charge at the origin doubles.

Put the value into the formula

Hence, The third charge placed is 0.80 m from origin in x-axis.