Inductors in Parallel Calculator
Calculate equivalent inductance for inductors connected in parallel using reciprocal formula
Calculate Equivalent Inductance
Inductors (2/10)
Equivalent Inductance Results
Formula used: 1/Leq = 1/L1 + 1/L2 + ... + 1/Ln
Parallel property: Equivalent inductance is always less than the smallest individual inductance
Energy storage: Each inductor stores energy E = ½LI² independently
Circuit Analysis
Example Calculation
Three Inductors in Parallel
Inductor 1: L₁ = 5H
Inductor 2: L₂ = 10H
Inductor 3: L₃ = 15H
Step-by-Step Calculation
1/Leq = 1/L₁ + 1/L₂ + 1/L₃
1/Leq = 1/5 + 1/10 + 1/15
1/Leq = 0.2 + 0.1 + 0.0667 = 0.3667
Leq = 1/0.3667 = 2.727H
Parallel Inductors Properties
Same Voltage
All inductors have same voltage
V₁ = V₂ = V₃ = Vtotal
Current Division
Current divides inversely by inductance
Itotal = I₁ + I₂ + I₃
Reduced Inductance
Equivalent < smallest individual
Leq < min(L₁, L₂, L₃)
Circuit Tips
Use parallel inductors to reduce total inductance
Higher current flows through lower inductance paths
Parallel connection provides multiple current paths
Each inductor can fail independently
Understanding Inductors in Parallel
What are Parallel Inductors?
Inductors are connected in parallel when one end of each inductor is connected to a common point, and the other end is connected to another common point. This creates multiple paths for current flow with the same voltage across each inductor.
Key Characteristics
- •Same voltage across all inductors
- •Current divides between branches
- •Reduced total inductance
- •Multiple energy storage paths
Parallel Inductance Formula
1/Leq = 1/L₁ + 1/L₂ + ... + 1/Lₙ
Leq = 1 / (1/L₁ + 1/L₂ + ... + 1/Lₙ)
- Leq: Equivalent inductance (H)
- L₁, L₂, Lₙ: Individual inductances (H)
- Current Division: In = V/(j𝜔Ln)
- Energy Storage: Etotal = ½LeqItotal²
Note: For equal inductors: Leq = L/n, where n is the number of inductors
Applications
- •Filter Circuits: Creating specific frequency responses
- •Power Supplies: Reducing ripple and improving regulation
- •Impedance Matching: Adjusting circuit impedance
- •Current Sharing: Distributing current loads
Design Considerations
- •Tolerance Matching: Use similar tolerance inductors
- •Current Rating: Each inductor must handle its branch current
- •Frequency Response: Consider parasitic capacitance
- •Thermal Effects: Temperature coefficient matching