∑

Cette calculatrice est actuellement affichée en anglais pendant que sa traduction est en préparation.

Physique

Calculatrice vérifiée avec une formule transparente

Physique

Biot-Savart Law Calculator.

Calculates the magnetic field produced by a current-carrying wire segment at a point in space using the Biot-Savart law.

Les résultats se mettent à jour en direct pendant que vous tapez.

Vos entrées

Current (I)

Wire length (L)

Distance from wire (r)

Angle (θ)

Comment ça marche

1
Enter the current in amperes.
2
Enter the length of the wire segment in meters.
3
Enter the perpendicular distance from the wire to the point in meters.
4
Enter the angle between the current direction and the line from the segment to the point in degrees.
5
The calculator computes the magnetic field using the Biot-Savart law.

(4e-7 * current * length * sin(angle * pi / 180)) / (4 * pi * distance * distance)

Questions fréquentes

What is the Biot-Savart law?

It describes the magnetic field generated by a steady current. For a small wire segment, the field is proportional to the current, length, and sine of the angle, and inversely proportional to the square of the distance.

What units does the result use?

The magnetic field is in teslas (T). For typical currents and distances, values are often in microteslas (µT) or milliteslas (mT).

Can I use this for a long straight wire?

This calculator is for a finite segment. For an infinitely long wire, use the formula B = μ₀I/(2πr). For a finite segment, the result is an approximation that improves as the segment is small relative to the distance.

Explorer cette catégorie de calculatrices

Physique Parcourir tout

Résultats

Formule vérifiée

Magnetic field (B)

Demander n'importe quoi

Estimation à titre indicatif uniquement — vérifiez les décisions importantes avec un professionnel approprié.

Comment ça marche

Calculates the magnetic field produced by a current-carrying wire segment at a point in space using the Biot-Savart law.

Enter the current in amperes.
Enter the length of the wire segment in meters.
Enter the perpendicular distance from the wire to the point in meters.
Enter the angle between the current direction and the line from the segment to the point in degrees.
The calculator computes the magnetic field using the Biot-Savart law.

Formules

Les mathématiques derrière cette calculatrice, écrites pour que vous puissiez vérifier le résultat.

Biot-Savart Law for a finite segment

B = (μ₀ I L sin θ) / (4π r²)

This gives the magnetic field at a point due to a short straight wire segment of length L carrying current I, at distance r, with angle θ between the current direction and the line

Cas d'utilisation réels

Où ce calcul apparaît dans la vie quotidienne.

Educational demonstrations

Helps students understand how magnetic field strength varies with current, distance, and angle.

Example: Compare fields at different distances from a wire.

Design of electromagnets

Estimate the field contribution from a short coil segment when designing solenoids or magnetic sensors.

Example: Approximate the field near a small loop.

Physics problem solving

Quickly verify textbook problems involving finite current elements.

Example: Check a homework problem with given parameters.

Conseils et erreurs courantes

Tips

Use consistent units: meters for length and distance, amperes for current.
The angle should be between 0° and 180°; the sine is positive in this range.
For small segments, the result approximates the field from a differential element.
Remember that the field direction is perpendicular to both the current and the radius vector.

Common Mistakes to Avoid

Forgetting to convert degrees to radians when using sine.
Using the full wire length when the point is far away; the approximation improves for short segments.
Confusing distance r with the length of the wire.

Hypothèses et limites

Use the stated inputs and units.
Results are estimates for planning and education.

Check measurements and source data before making an important decision.