Draw the electric field lines between two negatively charged particles. according to coulomb's law, how would the electrical force between these particles change if they were moved farther apart?

As the distance increases the force of repulsion between two charged particle will increase.

Explanation:

Given information:

The electric field line is drawn between two negatively charged particle.

Now, as we know

According to coulomb's law, the force of attraction or repulsion between two charged particle is proportional to the product of the charge and inversely proportional to the square of the distance between the particles.

As:

Where is the permittivity of the medium.

Now, according to the law as the distance increases the force of repulsion between two charged particle will increase.

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Here we have to draw the electric field between two negatively charged particles and the effect of distance on it have to discuss.

The electric field between the two negatively charged particle are shown in the figure. There will be repulsion between the same charge particle. As the distance between the charged particle increases the force of repulsion will decreases.

The force of attraction between two charged particle was described by Coulomb, which is known as coulomb's inverse square law.

As per the law the force of attraction or repulsion between two charged particles is proportional to the multiplication of the charge and inversely proportional to the square of the distance between the particles.

Mathematically it can be represented as -

the force F ∞ q₁ × q₂ (q is the charge of the particles) and F ∞ (r is the distance between the two charge particles)

By combining F ∞

Or, F = ∈⁻¹   (where ∈  = permittivity of the medium)

Thus as per the law as the distance (r) increases the force of repulsion between the two negatively charged particle will increase.

Thus the electric field between two negative charge particle is shown and  the effect of distance on it explained.

the answers would be

the first one and the second one