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# Coulomb's Law Calculator

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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

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

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