How to Use This Calculator
- Enter the radius of each coil in meters (m).
- Specify the number of turns in each coil.
- Input the distance between the centers of the two coils.
- Set the relative orientation angle in degrees between the two coils (0° means they are perfectly aligned, 90° means they are perpendicular).
- Click the "Calculate" button to compute the mutual inductance and coupling coefficient.
- Use the "Reset" button to clear all inputs and start over.
Understanding the Results
The calculator provides two key results:
- Mutual Inductance (M): Measures the voltage induced in one coil due to a change in current in the other coil. It is measured in henries (H).
- Coupling Coefficient (k): A dimensionless factor (0 to 1) that represents how well the magnetic fields of the two coils are linked. A value of 1 means perfect coupling, while 0 means no coupling.
Principles of Mutual Inductance
Mutual inductance occurs when the change in current in one coil induces a voltage in another coil through a shared magnetic field. The mutual inductance depends on:
- The number of turns in each coil
- The area of each coil
- The distance between the coils
- The relative orientation of the coils
- The magnetic permeability of the medium between the coils
Applications
This calculator is useful for:
- Designing transformers and inductors
- Understanding wireless power transfer systems
- Analyzing electromagnetic interference
- Designing sensor systems that rely on magnetic coupling