Answer:
The point should be kept 2d from the same charge.
Explanation:
We can find the point from the same charge by using the electric field formula:
[tex]\boxed{E=\frac{kq}{d^2} }[/tex]
where:
- E = electric field
- k = electrostatic constant (9 × 10⁹ Nm²/C²)
- q = electrical charge
- d = distance
Given:
- E₁ = E
- q₁ = q
- d₁ = d
- E₂ = E/4
- q₂ = q
[tex]\displaystyle E_1:E_2=\frac{kq_1}{d_1^2} :\frac{kq_2}{d_2^2}[/tex]
[tex]\displaystyle E:\frac{E}{4} =\frac{kq}{d^2} :\frac{kq}{d_2^2}[/tex]
[tex]\displaystyle 1:\frac{1}{4} =\frac{1}{d^2} :\frac{1}{d_2^2}[/tex]
[tex]4:1=d_2^2:d^2[/tex]
[tex]d_2^2=4d^2[/tex]
[tex]d_2=\sqrt{4d^2}[/tex]
[tex]\bf d_2=2d[/tex]
Therefore, the distance should be 2d.
