Q. 16

# Three equal charg

Answer :

__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 ϵ_{0} is the permittivity of free space

k is the electrostatic constant

q_{1} and q_{2} 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 _{C}**and

**F**cab be resolved into theirs x and y components.

_{B}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,

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