### Coulomb’s Law Calculator :

Enter the Charges are.. in not equal, Charge 1 (q₁) in nC, Charge 2 (q₂) in nc, Distance (r) in mm, and you get the Force (F) in newton(N).

### Coulomb’s Law Formula :

Coulomb’s law formula Electrostatic force F_{(N)} in Newton is equal to the coulomb’s constant k_{e(N-m2/c2)} in Newton per meter^{2} per coulomb’s^{2} and multiply the magnitude of the first and second charge and expressed q_{1,} q_{2(c)} in coulomb’s and multiply square of the distance between objects r^{2}_{(m)} in meter. Hence the coulomb’s law formula can be written as

F_{(N)}= k_{e(N-m2/c2)} * q_{1(c) }* q_{2(c)} / r^{2}_{(m)}

Where,

F=Electrostatic Force between charges and expressed in units Newtons

q_{1} = magnitude of first charge and expressed in units coulombs

q_{2} = magnitude of second charge and expressed in units coulombs

r=shortest distance between objects with units m

Ke= coulomb’s constant and is equal to 8.98755 * 10^{9 } N-m^{2}/ c^{2}

### Example:1

Calculate the force value? In a charge 150 ^{0}C and distance 2 *10^{-08} m.

### Answer:

Charge (q_{1} & q_{2} ) =150 ^{0}c

Convert distance 20 nm into m

As Distance is in nanometer convert it into meter 1 meter =1000000000

Distance =20/1000000000

Distance =20 *10^{-08} m

Force = F= k_{e} * q_{1 }* q_{2} / r^{2}

F= 8.98755 *10^{9} * 150 ^{0}c / (20 *10^{-08})^{2}

Force=5.055496 *10^{-29 N}

### Example:2

Calculate the force value? In a charge 480 ^{0}C and distance 90 nm.

### Answer:

Charge (q_{1} & q_{2} ) =480 ^{0}c

Convert distance 90 nm into m

As Distance is in nanometer convert it into meter 1 meter =1000000000

Distance =90/1000000000

Distance =90 *10^{-08} m

Force = F= k_{e} * q_{1 }* q_{2} / r^{2}

F= 8.98755 *10^{9} * 480 ^{0}c / (90 *10^{-08})^{2}

Force=2.5564 *10^{-29 N}