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Magnetic Force on a Current-Carrying Wire — result sheet
Calculate the magnetic-force magnitude on a straight current-carrying wire in a uniform magnetic field.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Magnetic-force magnitude F = B I l sin(theta), for a straight wire in a uniform magnetic field. This uniform-field straight-wire idealization is the model boundary.
This calculator evaluates the ideal B I l sin(theta) magnetic-force magnitude for an entered straight-wire segment and uniform field. It does not model field nonuniformity, conductor geometry, circuit behavior, or equipment design.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Magnetic field — T; Finite nonnegative uniform-field magnitude in teslas.; minimum 0; maximum 1000000
- Current — A; Finite nonnegative current magnitude in amperes.; minimum 0; maximum 1000000000
- Wire length in field — m; Finite nonnegative straight-wire length in the uniform field.; minimum 0; maximum 1000000
- Angle between wire and field — degrees; Enter the included angle in degrees.; minimum 0; maximum 180
Worked example
| Input | Value |
|---|---|
| Magnetic field | 0.5 |
| Current | 10 |
| Wire length in field | 2 |
| Angle between wire and field | 90 |
Ideal magnetic force magnitude is 10 N.
Assumptions and limits
- Magnetic field, current, and wire length are finite nonnegative magnitudes in teslas, amperes, and metres, while the included angle is between 0 and 180 degrees.
- The wire segment is straight, the field is uniform over its length, and the current direction and field direction are represented only by their included angle.
- This is a uniform-field straight-wire idealization only. Field sources, circuit transients, conductor heating, equipment selection, and safety decisions are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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