The location of the point is at the distance of
from first particle and
from second particle.
Further explanation:
Here, we have to calculate the location of the point on the line which connects the both charges at which the net electric field due to these charges is zero.
Given:
Charge on the first particle
is
.
Charge on the second particle
is
.
Distance between the first particle and the second particle
is
.
Formula and concept used:
Let us assume that the point is lying in between the charges as shown in Figure 1.
For, net electric field to be zero at that point,
The electric field due to first particle’s charge will be equal to the electric field due to second particle’s charge.
The expression can be written as,

First of all we will know about the electric field.
Electric field: The electric field at a point due to a charge is define as the amount of force experienced by a unit charge also known as test charge at that point.

Here,
is the electric field,
is the charge and
is the distance between charge and point at which electric field has to be measured.
Substitute the values of
and 
We get,

Simplify the above equation,
…… (1)
Calculation:
Substitute
for
and
for
in equation (1).

Simplify the above equation,

Solve the above equation,

Taking positive value,

Distance of the point from the second particle will be,

Thus, the location of the point is at the distance of
from first particle and
from second particle.
Learn more:
1. Momentum change due to collision: brainly.com/question/9484203.
2. Expansion of gas due to change in temperature: brainly.com/question/9979757.
3. Conservation of momentum brainly.com/question/4033012.
Answer details:
Grade: Senior School
Subject: Physics
Chapter: Electric charges and fields
Keywords:
Two particles, separated by distance, point along line, zero electric field, coulomb law, charges, electric field, position vector, location of charge, 0.96m, 1m.