Physics Calculators ▶ Coulomb's Law Calculator
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The online free Coulomb’s Law Calculator provides the step by step solution to calculate the force of attraction or repulsion between two charges, their electric charge, according to the distance between the charges.
“The Coulomb Law states that the force of attraction or repulsion is directly proportional to the product of the charges and inversely proportional to Square of the distance between them”
The Coulomb Law calculates the electrostatic force acting between two charges. The force is always acting along the straight line that join the two charges (q₁q₂) and the force act along the square of the shortest distance (r²) between the charges:
The Coulomb’s law Formula is as follows:
F = ke[q₁q₂/r²]
Where
F=The Electrostatic Force between the charges in Newtons(N)
q₁= It is the magnitude of the first charge in Coulombs(C)
q₂= It is the magnitude of the second charge in Coulombs(C)
r= The shortest distance between the charges in Meters(m)
ke= It the Coulomb’s constant and its value is equal to 8.98755 × 10⁹ N·m²/C².
The values of the “ke” have been inserted into the Coulomb’s law calculator, and you have no need to remember the accurate value of the “ke”. The electrostatic force calculator automatically finds the value of the coulomb’s constant value.
The SI unit of the electric charge is Coulombs(denoted by C).
“1 Coulomb is a charge that is transported by the constant current of 1 Ampere during 1 Second”.
How to calculate coulombs?
1 Coulomb =1 Ampere×1 Second
Where Ampere is the unit of the current and we can measure the current or Ampere by the Ohm’s calculator.
Coulomb was a French physicist and his name was Charles Augustin de Coulomb. He presented the Coulomb’s law formula in 1785 to define the force of attractions or repulsion between two electrical charges.He presented an equation of the force showing the force of attraction or repulsion between two bodies and it is known as the Coulomb’s electrostatic force formula
We can present Coulomb’s law in vector form to define force between two charges as both the charges are exerting opposite and equal forces on each other. We need to find the projections of the vectors and their force of attraction or repulsion of each other. For this we use the vector projection calculator to find the projection of the vectors.
Now consider two charges q1 and q2 , these charges are exerting a force of F12 and q2 is exerting a force of F21 on the charge q1
We can represent both the forces by:
$$ \begin{array}{l}\left( ie\,\,\,{{{\vec{F}}}_{12}}=-{{{\vec{F}}}_{21}} \right)\end{array} $$
The electrostatic force formula for two charges is as follows:
$$ \begin{array}{l}{{\vec{F}}_{12}}=\frac{1}{4\pi {{\in }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{r_{12}^{2}}{{\hat{r}}_{12}}; \;\;{{\vec{F}}_{12}}=-{{\vec{F}}_{21}}\end{array} $$
The resultant force due to number of point charges can be represented as:
$$ \begin{array}{l}\vec{F}={{\vec{F}}_{1}}+{{\vec{F}}_{2}}+{{\vec{F}}_{3}}+……\end{array} $$
By implementing this above calculation,it is possible to implement electrostatic force formula on the number of point charges.
There are certain limitations of the Coulomb’s Law:
The Force of attraction or repulsion between two charges can be measured by the Coulombs law calculator:
Input:
Output:
The coulomb’s law calculator do the following calculations:
Like charges repel each other as their forces are directed against each other. This is the main reason the like charges produce repellent force to each other.The electrical force calculator finds the force of repulsion between the like charges.
The electrostatic force is measured in Newton(N).The other units of electrostatic force are (Kilo Newton) kN,(Milli Newton) mN, (Mega Newton) MN, (pounds-force) lbf, Giga Newton) GN, (Tera Newton) TN,(poundals) pdl
The “esu” denotes the “electrostatic unit” and it is also represented as prefix “stat”and read as statcoulomb. The emu denotes electromagnetic unit and is also given the prefix “ab” known as abcoulomb.
The common example of the electrostatic force is when you run a comb in our dry hairs and attract the pieces of papers by it.
We place the charge “Q” to check the sphere of the electric field and it is called the test charge in the electric field. We can find the strength of the electric field by the coulomb force calculator.We can find the electric field by the electric field calculator.
The coulomb’s law formula has great application in modern day life from the Xerox machines to the Laser printer, it is also utilized for the powder coating. In these machines charged particles are used in the printing process. The coulomb’s law calculator is used to find the force of attraction or repulsion between two objects in installing them in various machines.
From the source of Wikipedia: Coulomb, Definition
From the source of Britannica:Charles-Augustin de Coulomb,Coulomb force