Sales Toll Free No: 1-855-666-7446

Coulomb's Law Calculator

Top
Coulomb's law calculator is used to find out the coulomb force between two charges which is separated by a particular distance. The Coulombic force formula can be written as,
F = $\frac{1}{4\pi \epsilon _{0}}\frac{q_{1}q_{2}}{r^{2}}$
Where,
$q_{1}$, $q_{2}$ = two charges,
r = distance of separation of charges,
$\frac{1}{4\pi \epsilon _{0}}$ = 9$\times10^{9}$Nm2/C2.
 

Steps

Back to Top
Step 1 : Write down the given values

Step 2 : Substitute these values in the given formula

F = $\frac{1}{4\pi \epsilon _{0}}\frac{q_{1}q_{2}}{r^{2}}$

And find out the unknown variable by simple calculations.

Problems

Back to Top
Let us discuss the problems of Coulomb's Law..

Solved Examples

Question 1: Calculate the coulombic force between two charges 1C and 3C separated by a distance of 0.15m.

Solution:
 
Given parameters are,
$q_{1}$ = 1C,
$q_{2}$ = 3C,
r = 0.15m.

Coulombic force between two charges is,

F = $\frac{1}{4\pi \epsilon _{0}}\frac{q_{1}q_{2}}{r^{2}}$

F = 9$\times10^{9}\times$$\frac{1\times3}{0.15^{2}}$

F = 12$\times10^{11}$N

 

Question 2: Calculate the distance of separation between two charges 10C and 25C, if the coulombic force is given as 15$\times10^{10}$N.

Solution:
 
Given parameters are,
$q_{1}$ = 10C,
$q_{2}$ = 25C,
F = 15$\times10^{5}$N,
r = ?

Coulomb force between two charges is,

F = $\frac{1}{4\pi \epsilon _{0}}\frac{q_{1}q_{2}}{r^{2}}$

$r^{2}$ = $\frac{1}{4\pi \epsilon _{0}}\frac{q_{1}q_{2}}{F}$

$r^{2}$ = 9$\times10^{9}\times$$\frac{10\times25}{(15\times10^{5})^{2}}$

r = 1m