Solenoid Magnetic Field Calculator
Calculate the magnetic field strength inside solenoid coils
Calculate Solenoid Magnetic Field
Total number of wire turns in the coil
Current flowing through the solenoid
Length of the solenoid coil
Magnetic Field Results
Formula: B = μ₀ × N × I / L
Calculation: B = 1.257e-6 × 0 × 0 / 0
Turn density: n = 0 turns/meter
Magnetic field strength: H = 0 A/m
Magnetic Field Analysis
Example Calculation
Electromagnetic Coil
Application: Laboratory electromagnet
Number of turns: 100 turns
Current: 0.1 A
Coil length: 10 cm = 0.1 m
Calculation
B = μ₀ × N × I / L
B = 1.25664 × 10⁻⁶ × 100 × 0.1 / 0.1
B = 1.25664 × 10⁻⁶ × 100 × 1
B = 1.257 × 10⁻⁴ T = 0.1257 mT = 1.257 G
This creates a moderate magnetic field suitable for lab demonstrations
Solenoid Magnetic Field Formula
B = μ₀ × N × I / L
Magnetic field inside solenoid
Typical Magnetic Field Strengths
Magnetic Field Units
Tesla (T)
SI unit of magnetic field
Gauss (G)
1 T = 10,000 G
Millitesla (mT)
1 T = 1,000 mT
Microtesla (μT)
1 T = 1,000,000 μT
Solenoid Physics
Field is uniform inside, zero outside
Field strength proportional to current
More turns = stronger field
Shorter length = stronger field
Direction follows right-hand rule
Understanding Solenoid Magnetic Fields
What is a Solenoid?
A solenoid is a coil of wire wound in a helical pattern, typically around a cylindrical form. When electric current flows through the wire, it creates a magnetic field that is concentrated inside the coil and nearly zero outside.
Magnetic Field Properties
- •Uniform field inside the solenoid
- •Negligible field outside the solenoid
- •Field direction determined by current direction
- •Field strength proportional to current and turn density
Mathematical Derivation
B = μ₀ × n × I
Where n = N/L (turn density)
Key Physics Principles
Note: This formula assumes an ideal, infinitely long solenoid. Real solenoids have edge effects that slightly reduce the field strength.
Applications & Use Cases
Medical Devices
MRI machines, magnetic therapy devices, medical pumps
Industrial
Lifting magnets, magnetic separators, actuators
Scientific Research
Particle accelerators, laboratory electromagnets, NMR spectrometers
Design Considerations
Field Optimization
- • Increase current for stronger field
- • Use more turns per unit length
- • Reduce solenoid length (increase turn density)
- • Add ferromagnetic core (multiply by μᵣ)
- • Minimize air gaps in magnetic circuit
Safety & Practical Limits
- • Power dissipation limits current
- • Cooling required for high-power operation
- • Magnetic saturation in core materials
- • Safety concerns with strong fields (>0.1 T)
- • Electromagnetic interference considerations