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Rectangular Loop Inductance Calculator

Calculate rectangular loop inductance using loop dimensions, conductor diameter, wire spacing, number of turns, and magnetic properties for RF, antenna, and inductor design.

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N
μr
Please enter valid positive values.
RESULTS
Inductance
H
Nanohenry
nH

Input Parameters Specification

TurnsNumber of loop turns. More turns increase inductance by N².
Width WHorizontal loop width with selectable unit conversion.
Height HVertical loop height with selectable unit conversion.
Wire Diameter dRound conductor diameter used in the logarithmic part of the formula.
Relative Permeability μrUse 1 for air or non-magnetic surroundings.
OutputInductance is shown in henry and nanohenry.

Practical Operational Examples

PCB / Wire Loop

Use W, H and d to estimate a rectangular loop made from wire or conductor track.

EMI Loop Estimate

Loop inductance matters in switching paths, RF loops, pulsed circuits and grounding layouts.

Diagrams & Theory

This colorful SVG redraw shows rectangular loop width W, height H and conductor diameter d.

H W d

Formulas & Mathematical Logic

The original rectangle loop inductance formula is preserved from your source code.
All length inputs are converted to meters before calculation.
Inductance changes strongly with loop size, wire diameter, permeability and turns.

Step-by-Step Example

Example: N = 1, W = 50 mm, H = 25 mm, d = 1 mm, μr = 1.
The calculator converts mm to meters first.
Then the rectangular loop expression is applied and output is shown in H and nH.

How to Use This Calculator

Enter number of turns.
Enter loop width W and select its unit.
Enter loop height H and select its unit.
Enter wire diameter d and select its unit.
Enter relative permeability. Use 1 for air.
Click Calculate.

About This Calculator

Estimate inductance of rectangular wire loops.

This calculator is useful for rectangular conductor loops, PCB current loops, RF loops and EMI-sensitive paths.

A rectangular loop has inductance because current flowing around the loop creates magnetic flux. Wider and taller loops generally increase inductance, while conductor diameter affects the logarithmic part of the estimate. This is important in switching power layouts, pulse circuits, grounding loops, antenna experiments and loop sensors.

Width WLong horizontal dimension of the loop.
Height HVertical loop dimension.
Diameter dConductor thickness used by the formula.
Turns NInductance scales with turns squared.
Tip: Keep high-current switching loops physically small to reduce unwanted loop inductance and voltage spikes.

Frequently Asked Questions

What is rectangular loop inductance?

It is the inductance created by current flowing around a rectangular loop conductor.

What value should I use for relative permeability?

Use μr = 1 for air or non-magnetic surroundings.

Why does wire diameter matter?

Wire diameter changes the magnetic field distribution close to the conductor and appears in the logarithmic part of the formula.

Can I use this for PCB traces?

It can give a rough estimate, but PCB trace geometry and return path can change real inductance.

Does more turns increase inductance?

Yes. The formula multiplies by turns squared.

Is this result exact?

No. It is an engineering estimate and should be verified for precision RF or pulse designs.

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About this tool

Rectangular Loop Inductance Calculator is a free online calculator tool. Use it to get instant, accurate results for your electronics calculations.