Calculate electric force from charge using F=qE, Coulomb's law for two charges, and convert electric field units between N/C and V/m.

Charge alone does not determine force. Enter the field at the charge.

Default 1000 N/C is an example. Enter the actual field; signs refer to one chosen axis.

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 × 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)
1×10⁻¹²1×10⁻¹²
5×10⁻¹²5×10⁻¹²
1×10⁻¹¹1×10⁻¹¹
5×10⁻¹¹5×10⁻¹¹
1×10⁻¹⁰1×10⁻¹⁰
5×10⁻¹⁰5×10⁻¹⁰
1×10⁻⁹1×10⁻⁹
2×10⁻⁹2×10⁻⁹
5×10⁻⁹5×10⁻⁹
1×10⁻⁸1×10⁻⁸
5×10⁻⁸5×10⁻⁸
1×10⁻⁷1×10⁻⁷
5×10⁻⁷5×10⁻⁷
1×10⁻⁶1×10⁻⁶
2×10⁻⁶2×10⁻⁶
5×10⁻⁶5×10⁻⁶
1×10⁻⁵1×10⁻⁵
5×10⁻⁵5×10⁻⁵
1×10⁻⁴1×10⁻⁴
1×10⁻³1×10⁻³
* 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.

  1. First, determine the electric charge in coulombs (Q).
  2. Next, determine the electric field strength (E).
  3. Next, use the formula F = Q * E to calculate the force in newtons (F).
  4. Finally, calculate the Coulombs To Newtons.
  5. 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.