Let’s think that we want to calculate the electric field intensity at point p caused by charge q at some point O.

So, OP=r. Lets suppose a test charge having positive charge is present at point P. If we apply the coulombs law of forces on it then the equation formed will be:

electrostatic 2.3
Where
electrostatic 2.4 is the unit vector from charge q towards charge
electrostatic 1.36

electrostatic 2.5
As
electrostatic 2.6

Therefore
electrostatic 2.7 —— 2.3

The below are vectors which are showing the electric field around a positive charge.

electrostatic 2.10

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