Diode Current Equation
Single Phase Transformer
Electric Circuit and Electrical Circuit Elements
Series Parallel Battery Cells
Electrical DC Series and Parallel Circuit
RL Series Circuit
Three Phase Circuit | Star and Delta System
RL Parallel Circuit
RL Circuit Transfer Function Time Constant RL Circuit as Filter
Construction of AC Circuits and Working of AC Circuits
Series RLC Circuit
Parallel RLC Circuit
Resistances in Series and Resistances in Parallel
Resonance in Series RLC Circuit
Planar and Non Planar Graphs of Circuit
Questions on Capacitor
Questions on Magnet Field
Electric Current and Theory of Electricity | Heating and Magnetic Effect
Nature of Electricity
Drift Velocity Drift Current and Electron Mobility
Electric Current and Voltage Division Rule
RMS or Root Mean Square Value of AC Signal
Voltage or Electric Potential Difference
Safety Rules for Medium Voltage Installation
Voltage Drop Calculation
Electrical Conductance Conductivity of Metal Semiconductor and Insulator | Band Theory
Properties of Electric Conductor
Electrical Resistance and Laws of Resistance
What is Electric Field?
Static Electric Field | Electrostatic Induction | Electric Field Strength
What is Flux? Types of Flux?
Magnetic Field and Magnetic Circuit | Magnetic Materials
Energy Stored in a Magnetic Field
A Current Carrying Conductor Within A Magnetic Field
Hard Magnetic Materials
Soft Magnetic Materials
Magnetic Circuit with Air Gap
Electrical International Symbol
Types of resistor Carbon Composition and Wire Wound Resistor
Varistor Metal Oxide Varistor is nonlinear Resistor
Carbon Composition Resistor
Wire Wound Resistor
Variable Resistors | Defination, Uses and Types of Variable Resistors
Light Dependent Resistor | LDR and Working Principle of LDR
What is Capacitor and Capacitance? Types of Capacitors
Working Principle of a Capacitor
Energy Stored in Capacitor
Quality Factor of Inductor and Capacitor
Transient Behavior of Capacitor
Capacitors in Series and Parallel
Testing of Capacitor Bank
How to Test Capacitors?
Join us as Electrical Content Writer
Questions on Battery
Questions on Electrical Earthing
SI System of Units
Analysis of Exponential Fourier Series
What is Inductor and Inductance | Theory of Inductor
Applications of Shift Registers
Trigonometric Fourier Series
Fourier Series and Fourier Transform
Questions on Alternating Current
Questions on Insulator
Questions on Electrolysis
Questions on Electrical Fuse
Questions on Current and Voltage Source
Questions on Magnetic Materials
Electric Power Single and Three Phase Power Active Reactive Apparent
Vector Algebra | Vector Diagram
Relationship of Line and Phase Voltages and Currents in a Star Connected System
Vector Diagram | Three Phase Vector Diagram
Source of Electrical Energy
Earn with us
Series RLC CircuitWhen 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 VR be the voltage across resistor, R. VL be the voltage across inductor, L. VC be the voltage across capacitor, C. XL be the inductive reactance. XC be the capacitive reactance. The total voltage in RLC circuit is not equal to algebraic sum of voltages across the resistor, the inductor and the capacitor; but it is a vector sum because, in case of resistor the voltage is in-phase with the current, for inductor the voltage leads the current by 90° and for capacitor, the voltage lags behind the current by 90°. So, voltages in each component are not in phase with each other; so they cannot be added arithmetically. The figure below shows the phasor diagram of series RLC circuit. For drawing the phasor diagram for RLC series circuit, the current is taken as reference because, in series circuit the current in each element remains the same and the corresponding voltage vectors for each component are drawn in reference to common current vector.
The Impedance for a Series RLC CircuitThe impedance Z of a series RLC circuit is defined as opposition to the flow of current due circuit resistance R, inductive reactance, XL and capacitive reactance, XC. If the inductive reactance is greater than the capacitive reactance i.e XL > XC, then the RLC circuit has lagging phase angle and if the capacitive reactance is greater than the inductive reactance i.e XC > XL then, the RLC circuit have leading phase angle and if both inductive and capacitive are same i.e XL = XC then circuit will behave as purely resistive circuit. We know that Where, Substituting the values
Parallel RLC CircuitIn parallel RLC Circuit the resistor, inductor and capacitor are connected in parallel across a voltage supply. The parallel RLC circuit is exactly opposite to the series RLC circuit. The applied voltage remains the same across all components and the supply current gets divided. The total current drawn from the supply is not equal to mathematical sum of the current flowing in the individual component, but it is equal to its vector sum of all the currents, as the current flowing in resistor, inductor and capacitor are not in the same phase with each other; so they cannot be added arithmetically. Phasor diagram of parallel RLC circuit, IR is the current flowing in the resistor, R in amps. IC is the current flowing in the capacitor, C in amps. IL is the current flowing in the inductor, L in amps. Is is the supply current in amps.
In the parallel RLC circuit, all the components are connected in parallel; so the voltage across each element is same. Therefore, for drawing phasor diagram, take voltage as reference vector and all the other currents i.e IR, IC, IL are drawn relative to this voltage vector. The current through each element can be found using Kirchhoff's Current Law, which states that the sum of currents entering a junction or node is equal to the sum of current leaving that node. As shown above in the equation of impedance, Z of a parallel RLC circuit; each element has reciprocal of impedance (1 / Z) i.e. admittance, Y. So in parallel RLC circuit, it is convenient to use admittance instead of impedance.
Resonance in RLC CircuitIn a circuit containing inductor and capacitor, the energy is stored in two different ways.
- When a current flows in a inductor, energy is stored in magnetic field.
- When a capacitor is charged, energy is stored in static electric field.
Formula for Resonant FrequencyDuring resonance, at certain frequency called resonant frequency, fr. When resonance occurs, the inductive reactance of the circuit becomes equal to capacitive reactance, which causes the circuit impedance to be minimum in case of series RLC circuit; but when resistor, inductor and capacitor are connected in parallel, the circuit impedance becomes maximum, so the parallel RLC circuit is sometimes called as anti resonator.
Difference between Series RLC Circuit and Parallel RLC Circuit
|S.NO||RLC SERIES CIRCUIT||RLC PARALLEL CIRCUIT|
|1||Resistor, inductor and capacitor are connected in series||Resistor, inductor and capacitor are connected in parallel|
|2||Current is same in each element||Current is different in all elements and the total current is equal to vector sum of each branch of current i.e Is2 = IR2 + ( IC - IL )2|
|3||Voltage across all the elements is different and the total voltage is equal to the vector sum of voltages across each component i.e Vs2 = VR2 + ( VL - VC )2||Voltage across each element remains the same|
|4||For drawing phasor diagram, current is taken as reference vector||For drawing phasor diagram, voltage is taken as reference vector|
|5||Voltage across each element is given by : VR= IR, VL = I XL, VC = I XC||Current in each element is given by: IR = V / R , IC = V / XC , IL = V / XL|
|6||Its more convenient to use impedance for calculations||Its more convenient to use admittance for calculations|
|7||At resonance , when XL = XC, the circuit has minimum impedance||At resonance, when XL = XC, the circuit has maximum impedance|