# Series-Parallel Impedance Conversion Calculator

Here, using this calculator, you can convert your series circuit element into parallel to calculate the Impedance and Vice-Versa. This calculator will help you with impedance conversion, impedance transformation, or impedance matching.

## Series-Parallel Impedance Conversion Calculator

**Series to Parallel**

**Impedance Conversion**

**:**

When you enter values for series components (resistance, capacitance, and inductance) and click the "Convert to Parallel" button, the calculator will calculate the impedance of the series combination and then transform it into its parallel equivalent using the appropriate formulas. It calculates the parallel resistor (Rp), capacitance (Cp), and inductance (Lp) based on the series values. The final impedance (Z) and Q-factor (Q) of the parallel configuration are then displayed.

**Parallel to Series**

**Impedance Conversion**

**:**

Similarly, when you enter values for parallel components (resistance, capacitance, and inductance) and click the "Convert to Series" button, the calculator will calculate the impedance of the parallel combination and then transform it into its series equivalent using the appropriate formulas. It calculates the series resistor (Rs), capacitance (Cs), and inductance (Ls) based on the parallel values. The final impedance (Z) and Q-factor (Q) of the series configuration are then displayed.

### How to Use This Calculator?

**1. Enter Frequency:**Start your journey by entering the supply frequency in the "Enter Supply Frequency" section. Choose the appropriate frequency unit (Hz, kHz, or MHz) by selecting the corresponding radio button.

**2. Conversion Direction:**Decide whether you want to convert impedance from series to parallel or parallel to series.

**3. Conversion for Parallel Impedance:**If you want to convert a series impedance to a parallel impedance, enter the values for resistance, capacitance, and inductance in the "Series" section. Choose the corresponding units for each element. Once you have entered the values, click the "Convert to Parallel ↓" button.

**4. Conversion for Series Impedance:**If you want to convert a parallel impedance to a series impedance, enter the values for resistance, capacitance, and inductance in the "Parallel" section. Choose the corresponding units for each element. Once you have entered the values, click the "Convert to Series ↑" button.

**5. Results:**The calculator will display the impedance (Z) and the Q-Factor (Q) for the converted impedance in the "Results" section.

**6. Resetting the Form:**If you want to start over or perform another conversion, you can click the "Reset" button to clear all the input fields and results.

### Formula

Here are the electrical formulas used in the above calculator,

Impedance (Z) for Series Combination:

Ztotal = Z1 + Z2

Impedance (Z) for Parallel Combination:

1 / Ztotal = 1 / Z3 + 1 / Z4

Resonant Frequency (F):

F = 1 / (2 * Ï€ * √(L * C))

Quality Factor (Q):

Q = |Z| / |X|

Where:

Z is the total impedance.

Z1, Z2, Z3, and Z4 are the individual impedance elements in series or parallel.

L is the inductance value.

C is the capacitance value.

X is the reactance.

These formulas are used to convert series impedance elements (Rs, Ls, Cs) to parallel impedance elements (Rp, Lp, Cp), and vice versa, based on the user's input in the calculator. The calculator then calculates the impedance (Z) and the quality factor (Q) of the resulting impedance network.

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Series-Parallel Impedance Conversion Calculator
Reviewed by Author
on
August 04, 2023
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