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Biot Savart Law Calculator Online

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The Biot Savart Law Calculator serves as a valuable tool in physics and engineering, enabling the precise computation of the magnetic field at a designated point in space created by a current-carrying wire. This calculator operates on the principles of the Biot-Savart Law, a fundamental concept in electromagnetism elucidating the magnetic field’s generation due to a steady electric current. By inputting essential parameters like the current through the wire, the differential length element along the wire, and the position vector from the differential element to the desired point, users can efficiently ascertain the magnetic field strength.

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Formula of Biot Savart Law Calculator

The Biot-Savart Law is mathematically expressed as:

B = (μ₀ / (4π)) * ∫ (I * dl × r) / r³

Variables:

  • B represents the magnetic field at a point.
  • μ₀ (mu naught) is the permeability of free space, approximately equal to 4π x 10⁻⁷ T·m/A (Tesla meters per ampere).
  • I is the current flowing in the wire. dl represents a differential length element along the current-carrying wire.
  • r is the position vector pointing from the differential element to the point where you want to calculate the magnetic field.
  • × denotes the cross product.
  • The integral symbol (∫) indicates that you need to integrate this expression along the entire length of the wire to find the total magnetic field at a specific point.
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General Terms Table

TermDescription
Magnetic FieldA field around a magnet or current-carrying wire where magnetic forces are experienced.
PermeabilityThe measure of a material’s ability to become magnetized.
Cross ProductA mathematical operation denoted by ×× producing a vector perpendicular to two given vectors.

Example of Biot Savart Law Calculator

Consider a scenario where a wire carries a current of 2 Amperes, the differential length is 0.1 meters, and the position vector is 0.5 meters. Plugging these values into the Biot-Savart Law formula.

After calculation, the magnetic field (B) can be determined.

Most Common FAQs

Q: Are there any unit considerations when using the calculator?

A: Yes, make sure to input values with the appropriate units – Amperes (A) for current, meters (m) for length elements, and meters (m) for the position vector.

Q: Can the Biot Savart Law be applied to any wire configuration?

A: In principle, yes. However, the calculation complexity may increase for intricate wire configurations.

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