Electric Field Calculator
A 1 nC point charge produces an electric field of 8.98755 V/m at 1 m, from E = q/(4πε₀r²), with a potential of 8.99 V.
8.98755179226117 V/m
Full answer, then cut to fewer decimals (not rounded):
- 8.98755179226117 V/m
- 8.9875517922611 V/m
- 8.987551792261 V/m
- 8.98755179226 V/m
- 8.9875517922 V/m
- 8.987551792 V/m
- 8.98755179 V/m
- 8.9875517 V/m
- 8.987551 V/m
- 8.98755 V/m
- 8.9875 V/m
- 8.987 V/m
- 8.98 V/m
- 8.9 V/m
- In kV/m
- 0.008987551792 kV/m
- Potential V = kq/r
- 8.987551792 V
- Flux density D = εE
- 7.957747155 × 10⁻¹¹ C/m²
- Direction
- away from the charge
Step-by-step solution
- E = q ÷ (4πε₀εᵣr²) = (1 × 10⁻⁹) ÷ (4π × (8.854187813 × 10⁻¹²) × 1²)
- |E| = 8.987551792 V/m (N/C)
Electric Field Formula
E = q/(4πε r²), λ/(2πε r), σ/(2ε)
ε = ε₀εᵣ; potential of a point charge V = q/(4πε r)
Worked Example
A 1 nC point charge, 1 m away, in air:
- E = q ÷ (4πε₀εᵣr²) = (1 × 10⁻⁹) ÷ (4π × (8.854187813 × 10⁻¹²) × 1²)
- |E| = 8.987551792 V/m (N/C)
Potential V = kq/r: 8.987551792 V · Flux density D = εE: 7.957747155 × 10⁻¹¹ C/m² · Direction: away from the charge
GATE tip
Gauss’s law gives these in one line each: pick a surface where E is constant and normal (sphere, cylinder, pillbox), then E × area = enclosed charge/ε. Inside a conducting sphere E = 0.
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C = ε₀εᵣA/d
coax C = 2πε L/ln(b/a); concentric spheres 4πε ab/(b − a); isolated sphere 4πε a
Example: Two 100 cm² plates 1 mm apart in air: Capacitance C = 88.5419 pF.
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Magnetic Field Calculator
B = μ₀I/(2πr) (wire), μ₀NI/(2R) (loop centre), μ₀μᵣNI/l (solenoid)
toroid B = μ₀μᵣNI/(2πR); H = B/(μ₀μᵣ)
Example: A long straight wire carrying 10 A, at 1 cm: Magnetic flux density B = 0.2 mT.
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Inductance Calculator
L = μ₀μᵣN²A / l
toroid: l = 2πR (mean radius); coax: L/length = (μ₀/2π) ln(b/a)
Example: A 200-turn air-cored solenoid, 20 mm in diameter and 100 mm long: Inductance L = 157.914 µH.
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Lorentz Force Calculator
F = q v B sin θ, F = B I L sin θ
orbit radius r = mv⊥/(|q|B); cyclotron frequency f = |q|B/(2πm)
Example: An electron moving at 10⁶ m/s at right angles to a 0.5 T field: Force F = 8.01088 × 10⁻¹⁴ N.
Frequently asked questions
Why does the field of a plane not depend on distance?
Field lines from an infinite sheet stay parallel, so the density of lines, and therefore E = σ/2ε₀, is the same everywhere. Real plates behave this way when you are close compared with their size.
Are V/m and N/C the same?
Yes: 1 V/m = 1 N/C. Field is force per unit charge or the potential gradient.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Electric Field Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/electric-field-calculator/
IEEE
Scientific Converters, "Electric Field Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/electric-field-calculator/