Electric Field Formula

Definition of Electric Field

It is defined as the electric field E that at any point in space represents a vector quantity giving the force per unit charge exerted on a positive test charge placed at that point. It gives an idea about how the charged body will influence other charges around it.

Formula of Electric Field

The Electric Field formula is expressed by

 

If q and Q are two charges separated by distance r, the Electric force is given by

When we substitute the electric force formula in the electric field formula we get Electric Field Formula which is given by

If the voltage V is supplied across the given distance r, then formula of electric field is given as

The Electric field is measured in N/C.

Solved Problem

A force of 5 N is acting on the charge 6 μ C at any point. Find the electric field intensity at that point.

Solution

Given

Force F = 5 N

Charge q = 6 μ C

Electric field formula is given by

                 E = F / q

                    = 5N / 6×10−6C

                 E = 8.33 × 105 N/C.

 

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Formula: Ptolemy’s Theorem relates the sides and diagonals of a cyclic quadrilateral. For a cyclic quadrilateral ABCD with diagonals AC and BD, the theorem states: