RLC Admittance Calculator (Y = G + jB)

RLC Admittance Calculator (Y = G + jB) | Online Free Tool | Elysia Tools

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category: Math & Numbers
Input types: select, number
Output type: json
Sample coverage: 4
API ready: Yes

Overview

The RLC Admittance Calculator computes the complex admittance (Y = G + jB) for series or parallel AC circuits containing any combination of resistors, inductors, and capacitors. By inputting the circuit topology, component values, and operating frequency, you can instantly determine the conductance (G), susceptance (B), admittance magnitude, and phase angle to analyze AC circuit behavior.

When to use

When analyzing parallel AC circuits where adding admittances is mathematically simpler than combining complex impedances.
When designing impedance matching networks, filters, or resonant circuits and you need to determine the conductance and susceptance at a specific frequency.
When converting series RLC impedance values into their equivalent parallel admittance representations for power system or RF analysis.

How it works

1Select the circuit topology (series or parallel) and enter the operating frequency in Hertz.
2Input the values for resistance (R), inductance (L), and/or capacitance (C) as required for your circuit configuration.
3The calculator computes the inductive reactance (X_L = 2πfL) and capacitive reactance (X_C = 1 / (2πfC)) to find the total impedance (Z).
4It calculates the complex admittance (Y = 1/Z = G + jB), outputting the conductance (G), susceptance (B), magnitude (|Y|), and phase angle.

Use cases

Calculating the input admittance of a parallel RLC bandpass filter to determine its resonant frequency and bandwidth.
Determining the susceptance needed from a shunt capacitor or inductor to match transmission line impedance in RF engineering.
Analyzing power factor correction requirements by calculating the reactive susceptance of industrial motor loads.

Examples

1. Series RLC Circuit Admittance Analysis

Electrical Engineering Student

Background

A student is analyzing a series RLC circuit containing a 100 Ω resistor, a 0.1 H inductor, and a 10 µF capacitor operating at a utility frequency of 50 Hz.

Problem

The student needs to find the total complex admittance to verify their manual homework calculations.

How to use

Set the topology to 'series', enter 100 for Resistance, 0.1 for Inductance, 0.00001 for Capacitance, and 50 for Frequency.

Topology: series, R: 100, L: 0.1, C: 0.00001, frequency: 50, decimalPlaces: 4

Outcome

The calculator outputs a complex admittance of Y ≈ 0.0011 + j0.0031 S, showing a positive susceptance that confirms capacitive behavior.

2. Parallel RLC Network Susceptance Calculation

RF Design Engineer

Background

An engineer is designing a parallel tuning network with a 100 Ω resistor, a 0.05 H inductor, and a 100 µF capacitor operating at 100 Hz.

Problem

The engineer needs to quickly determine the total admittance and phase angle to ensure the network operates within design tolerances.

How to use

FAQ

What is the difference between impedance and admittance?

Impedance (Z) measures the opposition to electrical current in an AC circuit, while admittance (Y) is the reciprocal of impedance (Y = 1/Z) and measures how easily current flows.

Can I calculate admittance if one of the R, L, or C components is missing?

Yes, the calculator supports any subset of R, L, and C. You only need to provide at least one component value along with the frequency.

What do positive and negative susceptance values indicate?

A positive susceptance (B > 0) indicates net capacitive behavior, while a negative susceptance (B < 0) indicates net inductive behavior.

How does the topology setting affect the calculations?

In a series topology, the calculator first sums the impedances before taking the reciprocal. In a parallel topology, it directly sums the individual admittances of each branch.

What unit is admittance measured in?

Topology: parallel, R: 100, L: 0.05, C: 0.0001, frequency: 100, decimalPlaces: 4

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Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Series RLC Circuit Admittance Analysis

2. Parallel RLC Network Susceptance Calculation

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