General Impedance Converter Input Resistance Calculator

Model converter input resistance with detailed component inputs. Review impedance, tolerance, parasitic, and frequency effects. Download clear CSV and PDF summaries for design checks.

Calculator Inputs

Z1 Branch

Z2 Branch

Z3 Branch

Z4 Branch

Z5 Branch

Example Data Table

Case Z1 Z2 Z3 Z4 Z5 Frequency Expected Use
Equal resistor network 10 kΩ 10 kΩ 10 kΩ 10 kΩ 10 kΩ 1 kHz Simple input resistance check
Capacitive branch 10 kΩ 20 kΩ 10 kΩ 10 kΩ 100 nF 5 kHz Frequency dependent impedance review
Inductive branch 4.7 kΩ 10 kΩ 15 kΩ 10 kΩ 10 mH 10 kHz Reactance and phase study

Formula Used

The ideal Antoniou style general impedance converter relation is:

Zin = Z1 × Z3 × Z5 / (Z2 × Z4)

Input resistance is the real part of the complex input impedance:

Rin = Re(Zin)

Capacitor impedance is:

ZC = ESR - j / (2πfC)

Inductor impedance is:

ZL = Rseries + j2πfL

The calculator also estimates current from source voltage and source resistance:

Iin = Vs / (Zin + Rs)

How to Use This Calculator

  1. Enter the operating frequency and source voltage.
  2. Select resistor, capacitor, or inductor for each branch.
  3. Enter each branch value with a matching unit.
  4. Add series parasitic resistance when losses are known.
  5. Enter tolerance and temperature options for a wider design range.
  6. Press calculate to view the result above the form.
  7. Use CSV or PDF buttons to save the calculated report.

General Impedance Converter Design Notes

A general impedance converter lets an active network reshape a simple component into a new input impedance. Designers often use the Antoniou form because it needs common resistors, capacitors, and operational amplifiers. The calculator uses five branch impedances, named Z1 through Z5, and evaluates the input port at the frequency you enter.

Why Input Resistance Matters

Input resistance is the real part of input impedance. It controls current flow from the signal source. A positive value absorbs real power. A negative value may indicate a simulated negative resistance or an unstable setup. The reactance shows stored energy, so both values should be reviewed before selecting parts.

Practical Modeling

Real parts never behave perfectly. Capacitors have equivalent series resistance. Inductors have winding resistance. Resistors drift with temperature. This page includes series parasitic entries, a temperature coefficient, and tolerance fields. These options help you create a practical range instead of one ideal number.

Use In Circuit Work

Start with the ideal schematic values. Choose the correct branch type for each impedance. Enter frequency and source voltage. Then review resistance, reactance, magnitude, phase, current, conductance, and tolerance limits. Export the results when you need a record for review, testing, or documentation.

Design Checks

Check sign, size, and phase together. A small resistance with large reactance may load the source less than expected. A large negative resistance can encourage oscillation. Compare the calculated range with the allowable range for your amplifier, source, and load. Leave margin for bandwidth and output swing.

Good Practice

Use precision resistors where ratios matter. Keep capacitor losses low at the operating frequency. Verify the result with simulation and bench measurement. The formula assumes an ideal converter structure. Layout, op amp bandwidth, saturation, and noise can shift the final value in real hardware.

Frequency Awareness

The same component set can act very differently as frequency changes. Capacitive reactance falls when frequency rises. Inductive reactance rises when frequency rises. Sweep several points around the operating band. Watch for phase changes, sharp resistance shifts, and values that exceed the safe input current of the connected stage.

Result Interpretation

Treat the number as a design estimate. Confirm polarity, grounding, and amplifier stability before final release under expected load.

FAQs

What does this calculator find?

It estimates the input resistance of a general impedance converter. It also reports reactance, magnitude, phase, current, power, admittance, and tolerance range.

What formula is used?

It uses the ideal relation Zin = Z1 × Z3 × Z5 / (Z2 × Z4). Input resistance is the real part of Zin.

Can I use capacitors and inductors?

Yes. Select capacitor or inductor for any branch. The calculator then uses frequency to calculate the complex branch impedance.

Why is my input resistance negative?

A negative value means the real part of input impedance is negative. This can happen in active converter networks. Check stability before using it.

What is series parasitic resistance?

It is unwanted real resistance inside a component. Examples include capacitor ESR and inductor winding resistance. It changes the practical result.

Does tolerance affect the main result?

The nominal result uses entered values. Tolerance creates an estimated range around the input resistance for practical design review.

Is this a replacement for circuit simulation?

No. It is a fast design calculator. Final circuits should be checked with simulation, datasheets, layout review, and bench measurement.

Why does frequency matter?

Capacitor and inductor impedances change with frequency. That change can strongly affect resistance, reactance, phase, and input current.

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