RLC circuit frequency calculator is an online tool for electrical and electronic circuits to measure the resonant frequency, series damping factor, parallel damping factor and bandwidth. An electrical circuit consists of three major electric components of a resistor, an inductor and a capacitor connected in series or in parallel. The characteristics of these components in the manner resistance R, inductance L and capacitance C caused to bring this name RLC circuit.

**RLC Circuits - Differential Equation Application**

When it comes to online calculation, this RLC circuit frequency calculator can assist you to calculate bandwidth in hertz, resonant frequency in hertz, series and parallel damping factor. Home Engineering Electronics RLC circuit frequency calculator is an online tool for electrical and electronic circuits to measure the resonant frequency, series damping factor, parallel damping factor and bandwidth.

Close Download. Continue with Facebook Continue with Google. By continuing with ncalculators. You must login to use this feature! Privacy Terms Disclaimer Feedback.If you would like to calculate the resonant frequency of an LC circuit, look no further - this resonant frequency calculator is the tool for you.

Enter the inductance and capacitance and in no time at all you'll find the resonant and angular frequency. We also provide some theory as it may be handy - below you'll find out how to calculate resonant frequency as well as a short definition about what the resonant frequency actually is. If you're interested in electronic circuits, you would probably like to know how to obtain some fraction of input voltage - our voltage divider calculator is a must for that task.

An LC circuit also called a resonant circuit, tank circuit, or tuned circuit is an idealized RLC circuit of zero resistance. It contains only an inductor and a capacitorin a parallel or series configuration:. Tank circuits are commonly used as signal generators and bandpass filters - meaning that they're selecting a signal at a particular frequency from a more complex signal. They are widely applied in electronics - you can find LC circuits in amplifiers, oscillators, tuners, radio transmitters and receivers.

LC and RC circuits can be used to filter a signal by blocking certain frequencies. The resonant frequency is a natural, undamped frequency of a system. If we apply a resonant frequency, then the oscillations become the maximum amplitude, and even relatively small forces can produce large amplitudes. However, if any other frequency is chosen, that signal is dampened.

There are many different types of resonances, e. Where does this formula come from? Resonance in the LC circuit appears when the inductive reactance of the inductor becomes equal to the capacitive reactance of the capacitor.

A resonant frequency calculator is a flexible tool, so - as usual - you can type any two variables, and the missing one will be calculated in a flash. Resonant Frequency Calculator can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message.

Get the HTML code. Omni Calculator logo Embed Share via. Capacitance C.

Inductance L. Resonant frequency f. Advanced mode. Check out 41 similar electromagnetism calculators. Coulomb's law. Lorentz Force. Ohm's law. Table of contents: What is an LC circuit tank circuit? What is a resonant frequency? How to calculate resonant frequency? How to use the resonant frequency calculator. What is an LC circuit tank circuit?You will also find out what's the q of the RLC circuit. The RLC circuit is a fundamental building block of many electronic devices.

It consists of the three elements:. In its basic form, all three elements are connected in a series.

### RLC Circuit Calculator (Solve for Frequency)

Other, more complicated, configurations are possible and used for specific purposes. Here, we will look only at the simplest one. In all these applications, the resonant frequency of the RLC circuit is its chief characteristic. So what is the RLC circuit frequency? The resonant frequency of the RLC circuit is a natural frequency with which the current in the circuit changes in time.

This natural frequency is determined by the capacitance C and the impedance L. The resistance R is responsible for losses of energy which are present in every real-world situation. If we try to push through the circuit a signal with a frequency different from the natural, such a signal is damped. This frequency is a typical frequency of radio transmissions in the VHF range. The first characteristic number of the RLC circuit is the natural frequency.

The second is the Q-factor. Q-factor determines how good is the circuit.

When designing the RLC circuit, we should aim at getting the Q-factor as large as possible. The formula for the Q-factor of the RLC circuit is. This value of the Q-factor is rather small. We should redesign the circuit by either decreasing the resistance or increasing the impedance at the cost of decreasing the capacitance to keep the natural frequency constant. This way we would get a better RLC circuit. RLC Circuit Calculator can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message.It also calculates series and parallel damping factor.

RLC Resonance is a special frequency at which the electrical circuit resonates. The value of RLC frequency is determined by the inductance and capacitance of the circuit. Resonance occurs in series as well as in parallel circuits. Although the basic formula to calculate series and the resonant frequency is same, However, there are certain differences which governs the resonant frequency.

The resonance of a series circuit occurs when the inductive reactance is exactly equal to capacitive reactance. However, the necessary condition is a phase difference of degrees at which they should cancel each other. The series resonance circuit and its formula are:. While parallel resonant frequency is more common in electronic circuits, it is equally complex. We can define parallel resonance as the condition of zero phase difference or a unity power factor.

The damping factor of a circuit is defined as the ratio between bandwidth and center frequency. The damping factor of circuit determines the bandwidth frequency. A higher damping factor means the wider bandwidth and a lower damping factor indicates that bandwidth will be lower. The damping factor of a series circuit is directly related to the resistance by the formula:. Whereas the parallel damping factor is inversely related to the resistance:.

Practically series and parallel RLC, and LC, resonant circuits are used in electronic design applications and modeling of circuits. The tuning of analog radio is done by using a parallel plate variable capacitor whose value is changed to tune the radio with frequencies coming from radio sat.

Find the resonance frequency and damping factor. Find the resonant frequency and parallel damping factor. Electrical calculators is collection of tools, reference tables, formulas and electrical reference tables which helps you boost your productivity.Random converter.

This series RLC circuit impedance calculator determines the impedance and the phase difference angle of a resistoran inductor and a capacitor connected in series for a given frequency of a sinusoidal signal. The angular frequency is also determined.

This example shows the near-resonance impedance of about If you want to check the impedance at almost exact resonance, enter If you enter a slightly higher frequency of Enter the resistance, capacitance, inductance and frequency values, select the units and click or tap the Calculate button.

Try to enter zero or infinitely large values to see how this circuit behaves. Infinite frequency is not supported. To enter the Infinity value, just type inf in the input box. To calculate, enter the resistance, the inductance, the capacitance, and the frequency, select the units of measurements and the result for the RLC impedance will be shown in ohms and for the phase difference in degrees.

The Q factor, C and L reactance, and the resonant frequency will also be calculated. Click or tap Calculate at the resonant frequency to see what will happen at resonance. Like a pure series LC circuitthe RLC circuit can resonate at a resonant frequency and the resistor increases the decay of the oscillations at this frequency.

The resonance occurs at the frequency at which the impedance of the circuit is at its minimum, that is if there is no reactance in the circuit. In other words, if the impedance is purely resistive or real. This phenomenon occurs when the reactances of the inductor and the capacitor are equal and because of their opposite signs, they cancel each other the canceling can be observed on the right phasor diagram below. The calculator defines the resonant frequency of the RLC circuit and you can enter this frequency or the value slightly above or below it to view what will happen with other calculated values at resonance.

The calculator can also define the Q factor of the series RLC circuit â€” a parameter, which is used to characterize resonance circuits and not only electrical but mechanical resonators as well. Damped and lossy RLC circuits with high resistance have a low Q factor and are wide-band, while circuits with low resistance have a high Q factor. For a series RLC circuit, the Q factor can be calculated using the formula above.

In the series circuit, the same current flows through the resistor, the inductor, and the capacitor, but the individual voltages across the components are different. The phasor diagram shows the V T voltage of the ideal sine voltage source. The voltage drop on the resistor V T is shown on the horizontal axis in phase with the current that flows through the circuit.

The vector sum of the two opposing vectors can be pointed downwards or upwards depending on the voltage drop across the inductor and the capacitor. At the resonant frequency the capacitive and inductive reactances are equal and if we look at the equation for Z above, we will see that the effective impedance is equal to resistance R because the two opposing voltages simply cancel each other.Master the analysis and design of electronic systems with CircuitLab's free, interactive, online electronics textbook.

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Export plot images for inclusion in design documents.An RLC circuit is an electrical circuit consisting of a resistor Ran inductor Land a capacitor Cconnected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC.

The circuit forms a harmonic oscillator for current, and resonates in a similar way as an LC circuit. Introducing the resistor increases the decay of these oscillations, which is also known as damping. The resistor also reduces the peak resonant frequency. In ordinary conditions, some resistance is unavoidable even if a resistor is not specifically included as a component; an ideal, pure LC circuit exists only in the domain of superconductivitya physical effect demonstrated to this point only at temperatures far below ambient temperatures found anywhere on the Earth's surface.

RLC circuits have many applications as oscillator circuits. Radio receivers and television sets use them for tuning to select a narrow frequency range from ambient radio waves.

In this role, the circuit is often referred to as a tuned circuit. An RLC circuit can be used as a band-pass filterband-stop filterlow-pass filter or high-pass filter. The tuning application, for instance, is an example of band-pass filtering.

The RLC filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation in circuit analysis. The three circuit elements, R, L and C, can be combined in a number of different topologies. All three elements in series or all three elements in parallel are the simplest in concept and the most straightforward to analyse.

There are, however, other arrangements, some with practical importance in real circuits.

## RLC circuit

One issue often encountered is the need to take into account inductor resistance. Inductors are typically constructed from coils of wire, the resistance of which is not usually desirable, but it often has a significant effect on the circuit. An important property of this circuit is its ability to resonate at a specific frequency, the resonance frequencyf 0.

Frequencies are measured in units of hertz. This is measured in radians per second. They are related to each other by a simple proportion. Resonance occurs because energy for this situation is stored in two different ways: in an electric field as the capacitor is charged and in a magnetic field as current flows through the inductor.

Energy can be transferred from one to the other within the circuit and this can be oscillatory. A mechanical analogy is a weight suspended on a spring which will oscillate up and down when released. This is no passing metaphor; a weight on a spring is described by exactly the same second order differential equation as an RLC circuit and for all the properties of the one system there will be found an analogous property of the other. The mechanical property answering to the resistor in the circuit is friction in the springâ€”weight system.

Friction will slowly bring any oscillation to a halt if there is no external force driving it. Likewise, the resistance in an RLC circuit will "damp" the oscillation, diminishing it with time if there is no driving AC power source in the circuit. The resonance frequency is defined as the frequency at which the impedance of the circuit is at a minimum. Equivalently, it can be defined as the frequency at which the impedance is purely real that is, purely resistive. This occurs because the impedances of the inductor and capacitor at resonance are equal but of opposite sign and cancel out.

Circuits where L and C are in parallel rather than series actually have a maximum impedance rather than a minimum impedance.