Self-Inductance of a Solenoid (L = μ₀n²Al)
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L = μ₀n²Al
What each symbol means
| Symbol | What it stands for |
|---|---|
| A | Cross-sectional area (m²) |
| L | Self-inductance (H) |
| l | Length of solenoid (m) |
| n | Turns per unit length (1/m) |
| μ₀ | Permeability of free space (4π×10⁻⁷ H/m) |
When to use this
Long solenoid (l >> radius). Also L = μ₀N²A/l where N = total turns, n = N/l. With core: L = μ₀μᵣn²Al. Energy stored = ½LI². EMF = -L(dI/dt).