Electric Field Formula - Definition, Formulas, Examples - Testbook.com

An Electric Field is a region that is created by an electric charge. This region can influence and is observed when another charge is introduced into it.

Electric Field Diagram

The Electric field lines are defined by the force F that the electric charge q experiences.

The Formula for Electric Field

The formula for Electric Field is given by

\(\begin{array}{l}E=\frac{F}{q}\end{array} \)

If we have two charges q and Q separated by a distance r , the Electric force is expressed as

\(\begin{array}{l}F = \frac{KqQ}{r^2}\end{array} \)

\(\begin{array}{l}E = \frac{KqQ}{r^2q}\end{array} \)

When we substitute the electric force formula into the electric field formula, we get the Electric Field Formula as,

If a voltage V is applied across a certain distance r, then the electric field formula can be expressed as

\(\begin{array}{l}E = \frac{V}{r}\end{array} \)

The Electric field is typically measured in N/C.

Examples for Better Understanding

Example 1

If a force of 8 N is acting on a charge of 10 μ C at a certain point, what would be the electric field intensity at that point?

Solution

Given,

Force F = 8 N

Charge q = 10 μ C

The electric field formula is expressed as

E = F / q

= 8N / 10×10 ⁻⁶ C

E = 8 × 10 ⁵ N/C.

Frequently Asked Questions

What is the formula of Electric Field?

The Electric Field formula is expressed by E=F/q.

How is the Electric field measured?

The Electric field is measured in N/C.

What is the Electric Field formula if the voltage V is supplied across the given distance r?

If the voltage V is supplied across the given distance r, then the electric field formula is given as E=V/r.

What does the Electric field represent?

Electric Field is the region produced by an electric charge around it whose influence is observed when another charge is brought in that region where the field exists.