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Magnetic Force on a Wire: Current magnitude Calculator

Magnetic Force on a Wire: Calculate current magnitude from Force magnitude, Magnetic field magnitude, Length, Acute angle. Check the formula, input units and worked result on this page.

Enter your values

N
Formula symbol: F. Required unit: N. Must be greater than zero.
T
Formula symbol: B. Required unit: T. Must be greater than zero.
m
Formula symbol: L. Required unit: m. Must be greater than zero.
°
Formula symbol: θ. Required unit: °. Must be greater than zero. Allowed range: 1E-9–89.999999.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. A straight wire segment is in a uniform magnetic field. Angle is between current direction and field; use the acute branch.
Example result
Current magnitude
5.22625186 A

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use magnetic force on a wire with the units stated beside the fields. This form solves for current magnitude; enter the known quantities in Force magnitude, Magnetic field magnitude, Length, Acute angle.

Inputs and units
Magnetic Force on a Wire: Current magnitude Calculator · Inputs and units
InputExample valueWhat to enter
Force magnitude9 NFormula symbol: F. Required unit: N. Must be greater than zero.
Magnetic field magnitude1.5 TFormula symbol: B. Required unit: T. Must be greater than zero.
Length3 mFormula symbol: L. Required unit: m. Must be greater than zero.
Acute angle22.5 °Formula symbol: θ. Required unit: °. Must be greater than zero. Allowed range: 1E-9–89.999999.
I = (F / (B × L × sin((θ × (π/180)))))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Force magnitude
9 N
Magnetic field magnitude
1.5 T
Length
3 m
Acute angle
22.5 °

Complete example results

Current magnitude
5.22625186 A

Reading the result

The result solves for current magnitude from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the current magnitude result?

This model uses positive magnitudes. A straight wire segment is in a uniform magnetic field. Angle is between current direction and field; use the acute branch.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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