# What is RLC circuit theory?

## What is RLC circuit theory?

An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected 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.

What are RLC series circuits explain with diagram?

A series RLC circuit is one the resistor, inductor and capacitor are connected in series across a voltage supply. The resulting circuit is called series RLC circuit. A circuit and phasor diagram for a series RLS circuit has been shown below.

What happens in RLC series circuit?

The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase. The sharp minimum in impedance which occurs is useful in tuning applications.

### What is the formula of RLC series circuit?

For a series RLC circuit, and impedance triangle can be drawn by dividing each side of the voltage triangle by its current, I. The voltage drop across the resistive element is equal to I*R, the voltage across the two reactive elements is I*X = I*XL – I*XC while the source voltage is equal to I*Z.

What are RLC circuits used for?

The three components in this circuit are in series with the voltage source, the RLC series circuit can be used as a bandpass filter. In series RLC circuit the larger reactance determines the net reactance of the circuit and the current is maximum at resonance.

What is Q factor of the capacitor?

The Quality (Q) Factor of a capacitor is a unitless value which is equal to the capacitor’s reactance divided by the Equivalent Series Resistance (ESR) of the capacitor. As both reactance and ESR vary with changes in frequency, the Q value of a capacitor will also vary greatly with changes in frequency.

#### What is a series resonant circuit?

Series resonance is a resonance condition that usually occurs in series circuits, where the current becomes a maximum for a particular voltage. In series resonance, the current is maximum at resonant frequency. The series resonance current curve increases to a maximum at resonance then decreases as resonance is passed.

Is XL greater than XC at resonance?

As the frequency of the applied voltage is increased, the inductive reactance XL increases but the capacitive reactance XC decreases, as illustrated in Figure 4. You can see from this graph that at the resonant frequency XL=XC.

What is XL in RLC circuit?

In series RLC circuit, the condition XL(Inductive reactance) = XC (Capacitive reactance) is called resonance condition. In this condition the inductive reactance get cancelled by capacitive reactance. So,the entire RLC series circuit just acts as a resistive circuit. So,the power factor is unity.

## What is bandwidth in RLC circuit?

The bandwidth of any system is the range of frequencies for which the current or output voltage is equal to 70.7% of its value at the resonant frequency, and it is denoted by BW. Figure 8.9 shows the response of a series Bandwidth of RLC Circuit.

What is ESR value of a capacitor?

Equivalent series resistance (ESR) is one of the non-ideal characteristics of a capacitor which may cause a variety of performance issues in electronic circuits. A high ESR value degrades the performance due to I2R losses, noise, and higher voltage drop.