Three equal charg

Given:

Let the force due to charge at corner B, C be F_B, F_C.

Charge at each corner, .

Note that the length of side of the triangle is.

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Formula used:

By Coulomb’s law, the electric force is given by:

Where ϵ₀ is the permittivity of free space

k is the electrostatic constant

q₁ and q₂ are the magnitude of charges

r is the distance of separation between the charges

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Putting the values in the above formula, we get

We can see from the diagram that F_Cand F_Bcab be resolved into theirs x and y components.

The y’s are in the same direction and add up but the x’s are in the opposite direction, hence they cancel out.

Hence,