# When an rlc series circuit is?

Last Update: April 20, 2022

This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!

**Asked by: Edmund West**

Score: 4.4/5 (13 votes)

When **a resistor, inductor and capacitor are connected in series with the voltage supply**, the circuit so formed is called series RLC circuit. Since all these components are connected in series, the current in each element remains the same, Let V_{R} be the voltage across resistor, R. V_{L} be the voltage across inductor, L.

## When an RLC series circuit is in resonance its impedance is?

Resonance occurs when X_{L} = X_{C} and the imaginary part of the transfer function is zero. At resonance the impedance of the circuit is **equal to the resistance value as Z = R**. At low frequencies the series circuit is capacitive as: X_{C} > X_{L}, this gives the circuit a leading power factor.

## What are the condition for series RLC circuit?

Series Resonance

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 an RLC series circuit?

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.

## How do you find the inductance of an RLC circuit?

Inductance: **V _{L} = IX_{L} = volts**. Resistor: V

_{R}= IR = volts. When exploring the values for real circuits, it is easy to find examples where both V

_{L}and V

_{C}are larger than the resultant voltage V. This can occur because these voltages V

_{L}and V

_{C}act 180° out of phase with each other.

## Series RLC Circuits, Resonant Frequency, Inductive Reactance & Capacitive Reactance - AC Circuits

**38 related questions found**

### Is LCR and RLC circuit same?

Is there a difference between RLC circuit and LCR circuit? **There is no difference between an RLC circuit and an LCR circuit except for the order of the symbol represented** in the circuit diagram.

### How do you find the current in a series RLC circuit?

**Series RLC Circuit**

- i
_{(}_{t}_{)}= I_{max}sin(ωt) - The instantaneous voltage across a pure resistor, V
_{R}is “in-phase” with current. - The instantaneous voltage across a pure inductor, V
_{L}“leads” the current by 90. ... - The instantaneous voltage across a pure capacitor, V
_{C}“lags” the current by 90.

### What is series and parallel RLC circuit?

In series RLC circuit, the current flowing through all the three components i.e the resistor, inductor and capacitor remains the same, but in parallel circuit, **the voltage across each element remains the same** and the current gets divided in each component depending upon the impedance of each component.

### Which is the application of series circuit?

Series circuits can be used for any **situation in which a single cable is used to supply power to a number of widely spaced lights or other devices**. A series circuit uses a single cable with multiple resistors on it, explains Electrical Construction & Maintenance...

### What is the use of LCR circuit?

The LCR circuits are used to **detect the frequencies of the narrow range in the broad spectrum of radio waves**. LCR circuit is used to tune radio frequency of AM/FM radio. d. It can be used as a low pass, band-pass, high pass, and band-stop filters based upon the type of frequency used.

### How does RLC circuit work?

RLC Circuit. This is an RLC circuit, which is an oscillating circuit consisting of a **resistor, capacitor, and inductor connected** in series. ... The voltage in the capacitor eventually causes the current flow to stop and then flow in the opposite direction. The result is an oscillation, or resonance.

### How does a series RLC AC circuit works?

**When a resistor, inductor and capacitor are connected in series with the voltage supply**, the circuit so formed is called series RLC circuit. Since all these components are connected in series, the current in each element remains the same, Let V_{R} be the voltage across resistor, R. V_{L} be the voltage across inductor, L.

### What is the power factor of RLC circuit?

The three cases of RLC Series Circuit

When X_{L} = X_{C}, the phase angle ϕ is zero, as a result, the circuit behaves like a purely resistive circuit. In this type of circuit, the current and voltage are in phase with each other. The value of the power factor is **unity**.

### What is a resonant circuit?

[ rĕz′ə-nənt ] **An electric circuit which has very low impedance at a certain frequency**. Resonant circuits are often built using an inductor, such as a coil, connected in parallel to a capacitor.

### What do you mean by resonance in series LCR circuit?

Resonance is the phenomenon in the circuit when the output of that electric circuit is maximum at one particular frequency. ... In LCR series circuits, resonance occurs when **the value of inductive and capacitive reactances have equal magnitude but have a phase difference of 180°**. Thus, they cancel each other.

### How is Q factor calculated?

The Q factor of the pMUT can be determined by the real part of the impedance frequency spectrum, which is defined as **Q = f _{r}/Δf**, where the resonance frequency f

_{r}is the frequency at which the real part of the impedance reaches its maximum, Δf is the width of the peak at its half height, so-called 3 dB bandwidth.

### What is a real life example of a series circuit?

An example of a series circuit is **a string of Christmas lights**. If any one of the bulbs is missing or burned out, no current will flow and none of the lights will go on. Parallel circuits are like the smaller blood vessels that branch off from an artery and then connect to a vein to return blood to the heart.

### What are characteristics of series circuit?

UNDERSTANDING & CALCULATING SERIES CIRCUITS BASIC RULES**The same current flows through each part of a series circuit**. The total resistance of a series circuit is equal to the sum of individual resistances. Voltage applied to a series circuit is equal to the sum of the individual voltage drops.

### What are the 5 characteristics of a series circuit?

**Simple Series Circuits**

- Current: The amount of current is the same through any component in a series circuit.
- Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances.
- Voltage: The supply voltage in a series circuit is equal to the sum of the individual voltage drops.

### What is series circuit with diagram?

) A series circuit comprises **a path along which the whole current flows through each component**. A parallel circuit comprises branches so that the current divides and only part of it flows through any branch. The voltage, or potential difference, across each branch of a parallel circuit…

### What happen when a series RLC circuit is in resonance?

At resonance in series RLC circuit, **both inductive and capacitive reactance cancel each other** and we know that in series circuit, the current flowing through all the elements is same, So the voltage across inductor and capacitor is equal in magnitude and opposite in direction and thereby they cancel each other.

### What is XL and XC in RLC circuit?

In general for RLC series circuit impedance is given by, **Z = R + j X**. **X = X _{L} – Xc = Total reactance of the circuit**.

**If XL > Xc**; X is positive & circuit is Inductive. If XL < Xc ; X is negative & circuit is Capacitive.

### What is purely inductive circuit?

The **circuit which contains only inductance (L) and not any other quantities like resistance and capacitance in the circuit** is called a Pure inductive circuit. In this type of circuit, the current lags behind the voltage by an angle of 90 degrees.