Calculate electric force using Coulomb’s Law with the Examples.com Coulomb’s Law Calculator. Enter charges and distance for precise results.

Charge 1 (q1):

Charge 2 (q2):

Distance (r):

Coulomb's constant(k):

Force

How to Use the Coulomb’s Law Calculator

Step 1: Select Calculation Type

  • Choose the desired calculation type from the dropdown menu. In this case, select “Calculate Force”.

Step 2: Enter Charge 1 (q1)

  • In the “Charge 1 (q1)” field, enter the value of the first charge in Coulombs.

Step 3: Enter Charge 2 (q2)

  • In the “Charge 2 (q2)” field, enter the value of the second charge in Coulombs.

Step 4: Enter Distance (r)

  • In the “Distance (r)” field, input the distance between the two charges in meters.

Step 5: Verify Coulomb’s Constant (k)

  • Ensure the value for Coulomb’s constant (k) is correctly displayed. The default value is 8.987551787×109N·m²/C².

Step 6: Calculate the Force

  • Click on the purple “Force” button to compute the electric force between the two charges.

Step 7: View Results

  • The result will be displayed in the field below, showing the force in Newtons (N).

Coulomb’s Law Formula

Coulomb’s Law describes the force between two charged objects. The formula is:

F=ke∣q1q2∣/r2

Where:

  • F is the magnitude of the force between the charges.
  • ke​ (Coulomb’s constant) is approximately 8.9875×109 N m2/C2
  • q1 and q2 are the amounts of the two charges.
  • r is the distance between the centers of the two charges.

Coulomb’s Law Calculator Examples

Example 1:

Given:

  • q1=2×10−6 C
  • q2=3×10−6 C
  • r=0.05 m

Calculation: F=ke∣q1q2∣/r2

F=8.9875×109(2×10−6)(3×10−6)/(0.05)2

F=21.57N

Example 2:

Given:

  • q1=1×10−9 C
  • q2=5×10−9 C
  • r=0.1 mr = 0.1

Calculation: F=ke∣q1q2∣/r2

F=8.9875×109(1×10−9)(5×10−9)(0.1)2

F=0.449N

Example 3:

Given:

  • q1=4×10−6 C
  • q2=−4×10−6 C
  • r=0.02 mr = 0.02

Calculation: F=ke∣q1q2∣/r2

F=8.9875×109(4×10−6)(4×10−6)(0.02)2

F=359.5N

Can the Coulomb’s Law calculator handle negative charges?

Yes, the calculator can handle negative charges. It uses the absolute value of the product of the charges to determine the magnitude of the force.

Can the calculator be used for more than two charges?

Coulomb’s Law itself applies to pairs of charges. For systems with more than two charges, you need to calculate the force for each pair and then use vector addition to find the net force.

How accurate is Coulomb’s Law in practical scenarios?

Coulomb’s Law is highly accurate for point charges or spherically symmetric charge distributions in a vacuum. However, in real-world scenarios, factors like the presence of other charges, the medium between the charges, and relativistic effects can affect the force.

What are some common applications of Coulomb’s Law?

Coulomb’s Law is used in electrostatics to calculate the force between charged particles, in designing electrical equipment, and in understanding interactions in fields like chemistry and physics.

How do I determine the direction of the force calculated using Coulomb’s Law?

The direction of the force is along the line connecting the two charges. If the charges are of the same sign, the force is repulsive, pushing them apart. If the charges are of opposite signs, the force is attractive, pulling them together.

Does Coulomb’s Law apply to all types of charges?

Coulomb’s Law applies to point charges and spherical charge distributions where the charge can be considered as concentrated at a point.