Home
Back
Solenoid Magnetic Field Equation:
| From: | To: |
The solenoid magnetic field equation calculates the magnetic field strength inside a long solenoid. It provides a fundamental relationship between the magnetic field, number of turns per unit length, and the current flowing through the solenoid.
The calculator uses the solenoid equation:
Where:
Explanation: The equation shows that the magnetic field inside a solenoid is directly proportional to both the number of turns per unit length and the current flowing through it.
Details: Accurate magnetic field calculation is crucial for designing electromagnets, electric motors, transformers, and various electromagnetic devices in engineering and physics applications.
Tips: Enter the number of turns per meter and the current in amperes. All values must be valid positive numbers.
Q1: What is the permeability of free space?
A: The permeability of free space (μ₀) is a physical constant equal to 4π × 10⁻⁷ T·m/A, which represents the measure of resistance encountered when forming a magnetic field in a vacuum.
Q2: Does this equation work for all solenoids?
A: This equation provides accurate results for long, tightly wound solenoids where the length is much greater than the diameter. For short solenoids, additional correction factors may be needed.
Q3: What are typical magnetic field strengths in solenoids?
A: Typical laboratory solenoids can produce fields from 0.01 T to several tesla, depending on the number of turns, current, and core material used.
Q4: How does the core material affect the magnetic field?
A: If the solenoid has a ferromagnetic core, the magnetic field will be significantly stronger due to the core's permeability being much higher than that of free space.
Q5: What are the units of magnetic field strength?
A: Magnetic field strength is measured in tesla (T) in the SI system. One tesla is equivalent to one weber per square meter.