This solenoid force calculator estimates the electromagnetic pull force of a solenoid from the number of turns, current, pole area, and air gap. Enter the values above.
Formula
F = (N × I)² × μ₀ × A ÷ (2 × g²)
- N — turns, I — current, A — pole area, g — air gap, μ₀ = 4π×10⁻⁷
Example
N = 1000, I = 1 A, A = 1 cm², g = 1 mm: F ≈ 62.8 N.
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Frequently Asked Questions
How do I calculate solenoid force?
Use F = (N I) squared times mu-zero times pole area, divided by twice the air gap squared.
Why does the air gap matter so much?
Force falls with the square of the gap, so a small gap gives a much stronger pull.
Is this force exact?
It is an idealized estimate; saturation and leakage reduce the real force, especially at small gaps.