Inductors in Series Calculator
Calculate equivalent inductance for inductors connected in series using addition formula
Calculate Equivalent Inductance
Inductors (2/10)
Equivalent Inductance Results
Formula used: Leq = L1 + L2 + ... + Ln
Series property: Equivalent inductance is always greater than any individual inductance
Current flow: Same current flows through all inductors in series
Circuit Analysis
Example Calculation
Three Inductors in Series
Inductor 1: L₁ = 5H
Inductor 2: L₂ = 10H
Inductor 3: L₃ = 15H
Step-by-Step Calculation
Leq = L₁ + L₂ + L₃
Leq = 5 + 10 + 15
Leq = 30H
Series Inductors Properties
Same Current
All inductors have same current
I₁ = I₂ = I₃ = Itotal
Voltage Division
Voltage divides proportionally by inductance
Vtotal = V₁ + V₂ + V₃
Increased Inductance
Equivalent > largest individual
Leq > max(L₁, L₂, L₃)
Circuit Tips
Use series inductors to increase total inductance
Higher voltage across larger inductance values
Series connection provides single current path
If one inductor fails, the entire circuit fails
Understanding Inductors in Series
What are Series Inductors?
Inductors are connected in series when they are connected end to end, forming a single path for current flow. In this configuration, the same current flows through each inductor, but the voltage across each inductor depends on its individual inductance value.
Key Characteristics
- •Same current through all inductors
- •Voltage divides between inductors
- •Increased total inductance
- •Single energy storage path
Series Inductance Formula
Leq = L₁ + L₂ + ... + Lₙ
- Leq: Equivalent inductance (H)
- L₁, L₂, Lₙ: Individual inductances (H)
- Voltage Division: Vn = Ln × (dI/dt)
- Energy Storage: Etotal = ½LeqI²
Note: For equal inductors: Leq = n × L, where n is the number of inductors
Applications
- •Choke Coils: Increasing inductance for filtering
- •Tuning Circuits: Achieving specific resonant frequencies
- •Energy Storage: Increasing magnetic energy storage
- •Impedance Matching: Adjusting circuit impedance
Design Considerations
- •Current Rating: All inductors must handle the same current
- •Voltage Distribution: Consider individual voltage ratings
- •Mutual Coupling: Consider magnetic coupling between coils
- •Quality Factor: Overall Q-factor affects performance