Q. 173.8( 5 Votes )

Four equal charges 2.0 × 10–6 C each are fixed at the four corners of a square of side 5 cm. Find the Coulomb force experienced by one of the charges due to the rest three.

Answer :


Let the force due to charge at corner B, C and D be FB, FC, FD.

Charge at each corner, .

The side of square is.

By Pythagoras theorem,

The length of diagonal .


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


Resolving FC , we get

The net force is:

We know that

Hence, the magnitude of net force is

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