Coulombs to Newtons Calculator (F = qE, N/C & Coulomb's Law)

Convert coulombs to newtons of force with F = qE, find charge from force and field (newtons to coulombs), use Coulomb’s law, or convert C, nC and N/C.

Coulombs To Newtons Formula

The following formula finds the force on a charge when the electric field at that charge is known. Charge alone cannot be converted directly to force.

F = Q \times E

Variables:

F is the signed force component along a chosen axis, in newtons (N)
Q is the electric charge in coulombs (C)
E is the signed electric field component along the same axis (N/C)

For one axis, multiply the signed charge by the signed field component: F = QE. In vector form, the force is Q times the electric field; a negative charge experiences force opposite the field. The two-charge tab instead uses the vacuum Coulomb model, |F| = k|q₁q₂|/r², for force magnitude and attraction or repulsion. The main tab’s default field is an illustrative value; enter the actual field and select Calculate after changes.

Coulombs to Newtons Conversion Table (Assumes uniform electric field E = 1.00 N/C)
Coulombs (C)	Newtons (N)
1×10⁻¹²	1×10⁻¹²
5×10⁻¹²	5×10⁻¹²
1×10⁻¹¹	1×10⁻¹¹
5×10⁻¹¹	5×10⁻¹¹
1×10⁻¹⁰	1×10⁻¹⁰
5×10⁻¹⁰	5×10⁻¹⁰
1×10⁻⁹	1×10⁻⁹
2×10⁻⁹	2×10⁻⁹
5×10⁻⁹	5×10⁻⁹
1×10⁻⁸	1×10⁻⁸
5×10⁻⁸	5×10⁻⁸
1×10⁻⁷	1×10⁻⁷
5×10⁻⁷	5×10⁻⁷
1×10⁻⁶	1×10⁻⁶
2×10⁻⁶	2×10⁻⁶
5×10⁻⁶	5×10⁻⁶
1×10⁻⁵	1×10⁻⁵
5×10⁻⁵	5×10⁻⁵
1×10⁻⁴	1×10⁻⁴
1×10⁻³	1×10⁻³
* Assumes E = 1.00 N/C in F = q × E. To adjust for a different electric field, multiply the Newtons column by your E (in N/C).

What Does “Coulombs to Newtons” Mean?

This calculator relates charge to force using a specified electric field. Coulombs measure charge and newtons measure force, so they have no universal conversion factor. Use F = QE with the field at the charge, or supply two point charges and their separation for the vacuum Coulomb model. The field converter uses the exact identity 1 N/C = 1 V/m.

How to Calculate Coulombs To Newtons?

The following steps outline how to calculate the Coulombs To Newtons using the formula: F = Q * E.

First, determine the electric charge in coulombs (Q).
Next, determine the electric field strength (E).
Next, use the formula F = Q * E to calculate the force in newtons (F).
Finally, calculate the Coulombs To Newtons.
After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

electric charge in coulombs (Q) = 5

electric field component (E) = 10 N/C; therefore F = 5 C × 10 N/C = 50 N.

Coulombs To Newtons Calculator screenshot