Electric Field Strength Calculator

Calculate electric field around a point charge and force on test charges using Coulomb's law.

⚡ Physics📐 E = kQ/r²
Source charge Q (Coulombs)
Distance r (meters)
Test charge (Coulombs, optional)
Please enter valid values.

Formula & Reference

VariableFormulaUnits
Electric Field Strength CalculatorE = kQ/r²N/C

Step-by-Step Examples

Example 1
1 μC at 10cm

Q=1e-6 C, r=0.1 m.

  • E = 8.99e9 × 1e-6 / 0.01 = 899,000 N/C
✓ 899,000 N/C
Example 2
Proton at 1nm

Q=1.6e-19 C, r=1e-9 m.

  • E = 8.99e9 × 1.6e-19 / (1e-9)² = 1.44×10¹¹ N/C
✓ 1.44×10¹¹ N/C
Example 3
Force on Test Charge

Q=1e-6, r=0.1m, test charge 2e-6 C.

  • E=899,000 N/C | F = 899,000 × 2e-6 = 1.798 N
✓ F = 1.798 N

Real-World Applications

Common Mistakes to Avoid

⚠️
Wrong SI units

Charge in Coulombs, distance in meters, force in Newtons. 1 μC = 10⁻⁶ C.

⚠️
E field vs force

E (N/C) is a field property. Force on a test charge F = qE.

Frequently Asked Questions

Coulomb's constant k? ▾
k = 8.99×10⁹ N·m²/C². Electromagnetism is ~10³⁶ times stronger than gravity.
Positive vs negative field direction? ▾
Field lines point away from positive charges, toward negative.
Superposition principle? ▾
Total field from multiple charges = vector sum of individual fields.

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