ONLINE ELECTRICAL ENGINEERING STUDY SITE

Cylindrical Capacitor

Capacitance of a Cylindrical Power Cable

Electrical Power Cable is a very popular example of cylindrical capacitor. In a power cable, there is a conductor at the center surrounding which there is insulating layer. Outer surface of the cable is generally covered with metallic cover which is grounded. cylindrical capacitor Let us also consider, at any instant due to current in the conductor, the charge of the cable is Q coulomb per meter. The radius of conductor and outer radius of cable are r1 and r2 respectively.

Now for calculating capacitance of this cylindrical capacitor, consider concentric imaginary cylinder of radius x meter. Where, Now, the surface area of 1 m long such imaginary cylinder is, Now as per definition, the flux density on that surface will be, Again, as per definition, electrical field intensity at any point on that imaginary surface will be, Again, electrical field intensity is defined as the ratio incremental change in voltage to incremental change in distance. Now integrating both sides from r1 to r2 we get, Where, surface voltage of conductor of radius r1 m is V1 volt and surface voltage of outer surface of cable of radius r2 m is V2 volt. Now, if outer surface is grounded, then Now, capacitance of the cable per unit length i.e. per meter is given as, This is expression of capacitance per unit length i.e. per meter of the cable. Hence, the capacitance of L meter cable will be,

Closely Related Articles What is Capacitor and Capacitance? Types of CapacitorsWorking Principle of a CapacitorEnergy Stored in CapacitorQuality Factor of Inductor and CapacitorTransient Behavior of CapacitorSpherical CapacitorCapacitors in Series and ParallelTesting of Capacitor BankHow to Test Capacitors?More Related Articles Electric Circuit and Electrical Circuit ElementsSeries Parallel Battery CellsElectrical DC Series and Parallel CircuitRL Series CircuitRLC CircuitThree Phase Circuit | Star and Delta SystemRL Parallel CircuitRL 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 CircuitElectrical Conductance Conductivity of Metal Semiconductor and Insulator | Band TheoryProperties of Electric ConductorElectrical Resistance and Laws of ResistanceSeries ResistanceEarn with usElectric 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 SignalWhat is Electric Field?Electric Field Strength or Electric Field IntensityStatic Electric Field | Electrostatic Induction What is Flux? Types of Flux?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 GapFourier Series and Fourier TransformTrigonometric Fourier SeriesAnalysis of Exponential Fourier SeriesElectrical and Electronics Engineering BooksWhat 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 Electrical and Electronics Engineering BooksWater MeterAir MeterDigital PotentiometersBasic Construction of Wind Turbine