Physics Formula Sheet 2023

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7 EBAY OKAA SS tit EE Electrostaticsa Coulomb sLawofElectricforce 9192feq 92 q fxrE Fa9293orf Katinkawherekisaconstantofproportionality calledelectrostaticforceconstantK I 9 109Nm2C 2WhereEoiscalledFaEopermittivityoffreespace Go 8 8551X10 12C2N im 22Coulomb sLawinVectorform r F z f 19 tqz21Friz FunInVectorform Coulomb sLawcanbewrittenasThz 9 9 inwherein Haeisaunitvectorinthedirectionfromq to92Similarly FT 9 ggFez whereKu Iqisaunitvectorinthedirectionfrom92to9a 3SuperpositionPrincipleBetweenthreechargesFT FiatFrs Tag929 4his co9th 13similarlyformultiplechargesF Fez Fist trim II 919 in 9h43in3t 9291 1FT 9 n9iATLCo Ty I ii 2AElectricfield Fen goingoff aEcon h after BisduetoapointchargeI IqOPP ateco r Fq9 ciilDuetosystemofpointcharge Eca Each tEalr t tEnCr ETH Taco9ns pimp aIcogymint tItacoAr pinPEth II q anypair 5ElectricfieldduetoaDipole IsAtanialE 94anhpATLto q2 al 2 foras aE 4qaa i Atequitonal4TitoisPnEeg gtfo as 3kPAtalargedistance r a Es 299Fonz P6DipoleinuniformElectricfieldTORQUE I ForceXperpendiculardistance QE2ASino pESino cid 15482 FXLIacontinuouschargedensityy doe a Linearchargedensity oh b Surfacechargedensity r doeDA c Volumechargedensity D doeok8ElectricthenHE F D8 EoIS cos 09GaussTheoremOE OfF D8 9 Eo Applications infieldduetoaninfinitelylongstraightE acii fieldduetouniformlychargedPlanesheetE geosoElectrostaticPotentialV VB Va WAIGoinElectrostaticpotentialduetoapointchargeu tae INPotentialDuetoanElectricDipoleVp I29alose4Thto q2 a2cos20 cid 15482 Atanialpoint Atequatorialpoint axial glee 9g Vega 0HisPotentialduetosystemofchargesv a c ok take Kini Iac oh sa ElectrostaticPotentialEnergy 1 InNoExternalElectricfield duetosystemoftwocharges lat O9 91 q f W Wz I9 92PdMizP2ATLEotha Duetosystemofthreechargesp 93 U IN thatlab a e 1919 t9gq t9 9 MsMs9 9 2 InAnExternalElectricfield422 PotentialEnergyofasinglechargeP E ofachargeinanexternalfield chargeXexternalelectricpotential11 LIq U qVcrs PotentialEnergyoftwopointchargesPotentialEnergyof g Yr game t9192System49torn PotentialEnergyofadipoleinuniformElectricfieldU PE Cos0 LosOz a aRelationbetweenfieldandPotentialE old Potentialdergradient13CapacitorAndcapacitance xxQ CV ed 1aTypesofcapacitors ParallelplatecapacitorCEEoAdforothermediumcm EccoHsphericalcapacitor 4ThEoMi929 R2 3 CylindricalCapacitorC 24tolLn bla 15WhenadielectricstabisinsertedBetweenplateofcopo acitoy co o C d EE EpTwhend t t DielectricC kEoA dastabdEr Eo EpC KCoEr Eq16WhenaConductingslabisinsertedbetweenplateofCapacitorstoEo Qtsgc Er OrErrda Combinationofcapacitor4 SeriesasParallelIn It 1Igt Cnet C f Cztczt e Cn18EnergystoredinlinecapacitorU 1z ORU Izod19EnergydensityU IgEEZsocommonPotential Qi Q Q2 OzCpCZy C V tCzV2 up yz C tCzcurrentElectricitya CurrentIavg AveragecurrenttIinstsdQ InstantaneousCurrentdt2OHM SLAHYVXIIV IR Resistanceisdefinedasoppositionofferedbyconductortoflowofcharge RaeandRxta R 9e where 5 istheresistivityoftheAmaterialdependsontemp V iseA 3CurrentDensityJ IaAlso I Is resistivityofMaterialIs rt conductivityr Is Vectorformofcurrentdensity J Ian ItosoI JACos8I F ATADriftvelocityVd eene5RelationbetweendriftvelocityandCurrentI neAVd6RelationbetweencurrentdensityandElectricfieldF rt Mobilityu etm8ElectricalEnergyAndPowerP I2R YI9Relationbetweena Egil voltagef EMFInternalI EresistanceRtr petoted peted V E INr e en d 10CellsinSeriesAndParallelEs EtEstEstEy SeriesCombinationng oh tMztMzttryParallelEta Eat Ezand combination11WheatstoneBridgePW andInbalancedconditionRmWsf FlelaMeterBridgeR s l 100 l 13PotentiometerVsRIv SEA I114I ated Applications4 Tocompareemfoftwogivencells Ez led 2 Calculatinginternalresistanceofacellr ft 1 RMovingchargesAndMagnetismraXy xxnieHMagneticForcexx FBxXF B qv xB xxFBCqxxFB QUBSinoxxcaseI IfuisperpendiculartoB qVBsi no MIrTTRadius r mqIB dkgEB im 2qglpglm LTIvT 21TMYQBVTime T 2kmperiodQBcase2 vineinclinedtoBatanangle0 Forcalculatingradiusweonlylesionattakeperpendiculartosousecomponentofvelocityr masinoQBT 2amQB Deleted P vWso TP 2amucosa y qBHLorentzforceF qCEtuXB VelocitySelectorrefera TIE f B fqE quBv fU IBB a Cyclotronfrequency 9 B2am pistheNaamKEofachargedparticleina q2BaR2Radiusofcyclotron 2Mthedels IForceonastraightcurrentcarryingconductorinauniformmagneticfield I I TxB Magneticmomentofacurrentcarryingloop M IA Torqueonacurrentcarryingloopplacedinauniformmagneticfield I NTxB 8 Biot savantLawdB MoiICdtxri ATLq3 Application Magneticfieldatapointontheanisatdistancesefromthecentreofacurrentcarryingloop B NoIR22 R tn2 312Ii Magneticfieldatthecentreofcurrentcarryingcircularloop B broI2RIii MagneticfieldonthecentreofcurrentcarryingcircularareB no2M momentbehavesasmagneticAaasdipole civ MagneticfieldonthecentreofcurrentcarryingcirculararcB NoI 4Thh 9 Ampere scircuitalLaw 137IT doI MagneticfieldduetoalongthencurrentcarryingwireB MoiLarIi MagneticfieldinsidealongstraightcurrentcarryingcylinderconductoratadistancerfromtheantsB MoinLTIR2 IiisMagneticfieldoutsidealongstraightcurrentcarryingconductoratadistancerfromtheantsPT MoLIAHNIv Insidealongsolenoid MagneticfieldinsideatoroidB MonIB MoNiLTLh1101forceperunitlengthbetweentwocurrentcarryingwireq MoIiIz2Kha HiscurrentSensitivityofmovingcoilgalvanometer NEATinvoltagesensitivityofmovingcoilgalvanometerOF NBAKTCiii shuntresistancerequiredtoconvertgalvanometerintoammeterofrangeiCigisthefullscaledeflectioncurrentofgalvanometers rs GCig II Resistancerequiredtoconvertedgalvanometerintovoltmeterofrange R Yg 4 o Magnetisma fieldduetoamagneticmonopoleB noma4ThqzNz TBontheaniallineorendonpositionofabarmagnet tf fans forme B F Fit 3 BontheequatoriallineorbroadsideonpositionofabarmagnetB ITIIe 3h forme B tf Ma d TimeperiodofangularSHMT LITEMBwhereIismomentofinertia5 MagneticPotentialEnergy m mBSinoD m m BG GaussLawinMagnetismofB di OF Inclinationlolpls AtpolesS EaDelineationAtequator8 0f GeographicomeridianHE BECos8 HE Be MagneticZE BECos8zemeridianTIE TansIBEI TITHE 8 MagnetizingHectorM Minet9 RelationbetweenMagneticfieldintensely H MagneticfieldLB andMagnetizingvectoring B BotBmBo MOM H B MB no Html MoAlso M ZHB noCAtn H NoMrHB UHso Magneticsusceptibility nm nm tfsa RelativeMagneticpermeability Ma un I Nmanalogywithdielectricconstantinelectrostatics it Molly tho Ita a aCurie sLawnaITn CliowhereciscalledCurie sTconstant M cBITELECTROMAGNETICINDUCTIONS B1 Magneticphenol OB B As BACOSO7 By 7 A B aFaraday sLawofinduction1stLaw Iftheflierlinkedwithacoilvarieswithtime anEMFisinducedacrossthecoil 2ndLaw MagnitudeofInducedEMRisdirectlyproportionaltotherateofchangeofflierlinkedwiththecoileaddae


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Physics Formula Sheet 2023

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