How to use the magnetic field at centre of a coil calculator
Find the magnetic field at the centre of a circular coil with several turns. Enter number of turns, current, coil radius in the fields above; the field at centre are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “magnetic field in loop centre”, “coil field”, “B at centre of coil”, “calculate magnetic field at centre of a coil”, “find field at centre”.
Formula
Variables
- N — Number of turns
- I — Current (A)
- R — Coil radius (m)
Worked example
With number of turns = 10, current = 2 A, coil radius = 0.05 m, the calculator gives field at centre ≈ 0.2513274 mT; field at centre ≈ 0.00025133 T.
Frequently asked questions
What is the magnetic field at centre of a coil calculator used for?
Find the magnetic field at the centre of a circular coil with several turns. It helps with questions such as “magnetic field in loop centre”, “coil field”, “B at centre of coil”.
What is the formula for the magnetic field at centre of a coil calculation?
Field at centre (mT) = MU0 × N × I / (2 × R) × 1000. Field at centre (T) = [Field at centre] / 1000. Here N is number of turns, I is current (A), R is coil radius (m).
What inputs do I need for the magnetic field at centre of a coil calculator?
You need number of turns, current in A, coil radius in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the magnetic field at centre of a coil calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the magnetic field at centre of a coil result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.