Please enter inductor values.
RESULTS
Input Parameters Specification
Coupling Configuration Select interface path rules toggling between continuous sequence lines or separate dual-parallel shunt nodes.
Discrete Lumped Coils (Ln) Individual inductive element magnitudes scaled inside structural metric Henry frames.
Practical Operational Examples
Baseline String Setup
Coil L1 = 10.000 µH
Coil L2 = 20.000 µH
Computed Lumped Equivalent Bounds
• Series Net Value = 30.000 µH
• Parallel Net Value = 6.6667 µH
• Core calculations process dimensions cleanly.
Circuit Configurations & Applications
Passive magnetic inductors generate local magnetic fluxes to store dynamic current spikes. Restructuring groupings changes current storage lines cleanly to form high-pass or low-pass filtering modules accurately.
Diagrams & Theory
Formulas & Mathematical Logic
Series: Ltotal = L1 + L2 + L3 + ...
Parallel: Ltotal = 1 / (1/L1 + 1/L2 + 1/L3 + ...)
Cascading string configurations accumulate magnetic coil lengths directly to heighten tracking Henry limits, while paired parallel shunts divide total current bounds to decrease overall system lumped properties.
Step-by-Step Example
Example (Series): Inductor L1 = 10 uH, Inductor L2 = 20 uH, Output Format = uH.
Step 1: Identify your parameters. Inductances are L1 = 10 uH and L2 = 20 uH.
Step 2: Add all the individual inductances together for a series connection: Ltotal = L1 + L2 = 10 + 20 = 30.00 uH.
Step 3: Convert the total inductance back to the chosen result format (uH): Total Inductance = 30.0000 uH.
Step 4: For Parallel connections: Ltotal = 1 / (1/L1 + 1/L2) = 1 / (1/10 + 1/20) = 1 / (0.1000 + 0.0500) = 1 / 0.1500 = 6.6667 uH.
Result: Symmetrical network operations calculate equivalent inductance exactly according to connection types and scaling selections.
How to Use This Calculator
Select your preferred calculation mode: Series or Shunt parallel network, from the Connection Type dropdown menu.
Enter your known inductor values in the dynamically generated input fields (Click + Inductor or - Inductor to adjust port counts).
Choose the corresponding unit multiplier for each inductor (nH, uH, mH, or H) if using custom inputs.
Click the orange Calculate button to initiate the network inductance solver.
Read the computed equivalent total inductance on the Results cards, selecting your desired output unit (nH, uH, mH, or H).
About This Calculator
Analyze equivalent circuit inductance and design optimized high-frequency passive networks with precision.
The CalcBoy Series and Parallel Inductor Calculator computes the combined equivalent inductance of complex passive magnetics networks containing multiple inductor stages.
An inductor is a passive two-terminal electrical component that stores energy in a magnetic field when an electric current flows through it. Typically consisting of an insulated wire wound into a coil, inductors are heavily utilized in RF filters, matching networks, power supply regulators, and resonant tank circuits. Like resistors and capacitors, inductors can be combined in series or parallel arrangements to achieve a target equivalent inductance. In a series configuration, inductors are arranged sequentially end-to-end, so the same current passes through each coil, and their magnetic fields combine linearly to increase the total inductance. In a parallel configuration, inductors are connected across the same electrical nodes, dividing the current, which decreases the total equivalent inductance.
This calculator acts as a highly responsive, dynamic circuit network solver. It allows you to add or remove inductor inputs on the fly, supporting custom stage counts, and automatically scales units (nH, uH, mH, H) seamlessly to ensure mathematically precise evaluations safely. RF system engineers and circuit designers use these models to establish exact loop inductance parameters, preventing signal distortion and optimizing high-frequency transmission layouts safely.
Ideal ApplicationRF filter design, power supply choke modeling, resonant tank circuits, and passive impedance matching.
Key OutputEquivalent total network inductance scaled to your chosen unit (nH, uH, mH, or H).
Crucial PhysicsSymmetrical series addition increases total inductance, while parallel branch division decreases it.
Design RuleUse standard high-Q, low-loss toroidal or chip inductors in RF circuits to prevent parasitic signal attenuation.
Tip: Standard physical inductors can exhibit parasitic capacitance between wire turns, causing them to reach a Self-Resonant Frequency (SRF) where they behave as capacitors. Always operate well below this limit.
Frequently Asked Questions
What physically is the difference between series and parallel inductor networks?
In a series network, inductors are connected sequentially end-to-end along a single path, meaning the same current flows through each, and the total inductance increases. In a parallel network, resistors are connected across the same two electrical nodes, splitting the current, which decreases the total equivalent inductance.
Why does adding inductors in parallel decrease the total inductance?
Because adding parallel branches provides more paths for the electrical currents to flow through. Even if the added inductor has a high inductance, it still represents an additional path, which increases the overall electrical conductivity of the network and lowers the total loop inductance.
How is the parallel equivalent inductance calculated mathematically?
The total equivalent inductance of a parallel network is the reciprocal of the sum of the reciprocals of all individual inductors: Ltotal = 1 / (1/L1 + 1/L2 + 1/L3 + ...). The calculator handles these reciprocal calculations internally to prevent rounding or conversion errors.
Can this calculator handle mixed units (like nH and uH together)?
Yes. The calculator includes a units dropdown for each individual inductor input. The script internally converts all values to standard base Henries before performing the mathematical summation or reciprocal calculation, and then scales the output to your chosen result format.
Why is the output format selection important?
Different circuit designs favor different units. For example, high-frequency RF matching stages are typically planned in nano-henries (nH), while low-frequency power supply decoupling paths are designed in micro-Henries (uH) or milli-Henries (mH). Selecting the correct result format makes reading the data highly convenient.
How does inductor tolerance affect the physical circuit performance?
Physical inductors have tolerances (typically 5 percent or 10 percent) indicating how much their actual inductance can deviate from the nominal value. In high-precision RF matching pads or resonant filters, using high-tolerance inductors can cause frequency shifting and degrade signal return loss.
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