# RL Parallel Circuit

In

The

Let us say: I

R = resistance of circuit in ohms.

L = inductor of circuit in Henry.

X

Since resistance and inductor are connected in parallel, the total impedance of the circuit is given by, In order to remove "j" from the denominator multiply and divide numerator and denominator by (R - j X

**RL parallel circuit**resistor and inductor are connected in parallel with each other and this combination is supplied by a voltage source, V_{in}. The output voltage of circuit is V_{out}. Since the resistor and inductor are connected in parallel, the input voltage is equal to output voltage but the currents flowing in resistor and inductor are different.The

**parallel RL circuit**is not used as filter for voltages because in this circuit, the output voltage is equal to input voltage and for this reason it is not commonly used as compared to series RL circuit.Let us say: I

_{T}= the total current flowing from voltage source in amperes.I_{R} = the current flowing in the resistor branch in amperes.

I_{L} = the current flowing in the inductor branch in amperes.

θ = angle between I_{R} and I_{T}.

So the total current I_{T},
In complex form the currents are written as,

## Impedance of Parallel RL Circuit

Let, Z = total impedance of the circuit in ohms.R = resistance of circuit in ohms.

L = inductor of circuit in Henry.

X

_{L}= inductive reactance in ohms.Since resistance and inductor are connected in parallel, the total impedance of the circuit is given by, In order to remove "j" from the denominator multiply and divide numerator and denominator by (R - j X

_{L}),### Analysis of a Parallel RL Circuit

In parallel RL circuit, the values of resistance, inductance, frequency and supply voltage are known for finding the other parameters of**RL parallel circuit**follow these steps:**Step 1.**Since the value of frequency is already known, we can easily find the value of inductive reactance X_{L},**Step 2.**We know that in parallel circuit, the voltage across inductor and resistor remains the same so,**Step 3.**Use Ohm’s law to find the current flowing through inductor and resistor,**Step 4.**Now calculate the total current,**Step 5.**Determine the phase angles for resistor and inductor and for parallel circuit, its always**Step 6.**Since we have already calculated the total current flowing in the circuit and voltage V is also known to us, by using Ohm’s law; we can easily calculate the total impedance:**Step 7.**Now calculate the total phase angle for the circuit which is given by, The total phase angle of a**parallel RL circuit**always lies between 0^{o}to -90^{o}. It is 0^{o}for pure resistive circuit and -90^{o}for pure inductive circuit.Closely Related Articles Parity GeneratorElectric Circuit and Electrical Circuit ElementsSeries Parallel Battery CellsRL Series CircuitRLC CircuitThree Phase Circuit | Star and Delta SystemRL Circuit Transfer Function Time Constant RL Circuit as FilterConstruction of AC Circuits and Working of AC CircuitsSeries RLC CircuitParallel RLC CircuitResistances in Series and Resistances in ParallelResonance in Series RLC CircuitPlanar and Non Planar Graphs of CircuitClipping CircuitMore Related Articles Electric Current and Theory of Electricity | Heating and Magnetic EffectNature of ElectricityDrift Velocity Drift Current and Electron MobilityElectric Current and Voltage Division RuleRMS or Root Mean Square Value of AC SignalWorking Principle of a CapacitorQuality Factor of Inductor and CapacitorTransient Behavior of CapacitorCylindrical CapacitorSpherical CapacitorCapacitors in Series and ParallelHow to Test Capacitors?Electrical Conductance Conductivity of Metal Semiconductor and Insulator | Band TheoryWhat is Electrical Resistance?Resistivity and Laws of ResistanceProperties of Electric ConductorTemperature Coefficient of ResistanceResistance Variation with TemperatureSeries ResistanceActive and Passive Elements of Electrical CircuitElectrical DC Series and Parallel CircuitOhm's Law | Equation Formula and Limitation of Ohm's LawKirchhoff Current Law and Kirchhoff Voltage LawSingle and Multi Mesh AnalysisSuperposition TheoremThevenin Theorem and Thevenin Equivalent Voltage and ResistanceNorton Theorem | Norton Equivalent Current and ResistanceReciprocity TheoremNodal Analysis in Electric CircuitsMaximum Power Transfer TheoremDelta - Star transformation | Star - Delta TransformationMagnetic FieldStatic Electric Field | Electrostatic Induction Magnetic PermeabilityMagnetic Field and Magnetic Circuit | Magnetic MaterialsMagnetic SaturationEnergy Stored in a Magnetic FieldHysteresis LoopA Current Carrying Conductor Within A Magnetic FieldMagnetic SusceptibilityHard Magnetic MaterialsSoft Magnetic MaterialsMagnetic Circuit with Air GapElectric ChargeCoulombs Law | Explanation Statement Formulas Principle Limitation of Coulomb’s LawElectric Lines of ForceWhat is Electric Field?Electric Field Strength or Electric Field IntensityWhat is Flux? Types of Flux?Electric FluxElectric PotentialCapacitor and Capacitance | Types of CapacitorsEnergy Stored in CapacitorCharging a CapacitorDischarging a CapacitorFourier Series and Fourier TransformTrigonometric Fourier SeriesAnalysis of Exponential Fourier SeriesWhat is Inductor and Inductance | Theory of InductorMutual InductanceSelf InductanceSI System of UnitsElectrical International SymbolElectric Power Single and Three Phase Power Active Reactive ApparentVector Algebra | Vector DiagramRelationship of Line and Phase Voltages and Currents in a Star Connected SystemVector Diagram | Three Phase Vector DiagramTypes of Resistor Carbon Composition and Wire Wound ResistorVaristor Metal Oxide Varistor is Nonlinear ResistorCarbon Composition ResistorWire Wound ResistorVariable Resistors | Defination, Uses and Types of Variable ResistorsLight Dependent Resistor | LDR and Working Principle of LDRSource of Electrical EnergyVoltage SourceIdeal Dependent Independent Voltage Current SourceVoltage or Electric Potential DifferenceVoltage in SeriesVoltage in ParallelVoltage Drop CalculationVoltage DividerVoltage MultiplierVoltage DoublerVoltage RegulatorVoltage FollowerVoltage Regulator 7805Voltage to Current ConverterNew Articles Ring CounterDischarging a CapacitorCharging a CapacitorElectric PotentialParity Generator