7.10 magnetic flux density - dr eyre's science site -...
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©2016flippedaroundphysics.com
7.10MagneticfluxdensityAroundanymagnetisedobjectthereisaregionofspacewherewecandetectamagneticfield.Wecandothisbyplacingacompassatanypointandnotingwhatdirectionitpoints.Thecompassconsistsofasmall,magnetisedbarwhichcontainsanorthandsouthpole.Themagneticfieldexertsatorque(turningforce)onthecompasscausingittoalignalongamagneticfieldline.
Inthisdiagram,left,youcanseethataplottingcompassispointingalongthedirectionofthemagneticfieldline.Magneticfieldlinesgofromanorth(N)magneticpoletoasouth(S)magneticpole.Magneticfieldlinesareknownaslinesofmagneticflux.
!Wherewouldthemagneticfluxbethemostconcentrated?Howcanyoutellfromthediagram?Whenwepassanelectriccurrentthroughaconductingwireamagneticfieldisproducedinthespacearoundthewire.Themagneticfluxlineswraparoundthewireinacircle.Youcandeterminethedirectiontheypointbyusingtherighthandthumbrule.Thethumbpointsinthedirectionthatthecurrent(𝐼)flows,andthefingerswraparoundinthedirectionofthelinesofmagneticflux.Ifwewrapthewireintoacoil(calledasolenoid)wecanproduceamagneticfieldsimilartothatofabarmagnet.
Inthediagram,above,thedotsshowcurrentflowingupwards(outofthepage)andthecrossesshowcurrentflowingdownwards.
𝐼
𝐼
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!Howwouldyoudescribethemagneticfielddownthemiddleofthesolenoid?Thestrengthofthemagneticfieldisknownasthemagneticfluxdensity(𝐵).!Howcouldyouincreasethemagneticfluxdensityinthemiddleofthesolenoid?ThemotoreffectWhenacurrent-carryingwireisplacedinamagneticfielditexperiencesaforce.Thisisknownasthe‘motoreffect’.ThedirectionoftheforceonthewirecanbedeterminedusingFlemming’slefthandrule.
Ifyoupointyourfirstfingeralongthefielddirection(NtoS)andyoursecondfingerinthedirectionthatthecurrentisflowinginthewire,yourthumbwillshowthedirectionoftheforceonthewire.Thisforcearisesfromtheinteractionofthemagneticfieldandthemagneticfieldproducedbythecurrentflowinginthewire.
Thestrengthofthemagneticfield(magneticfluxdensity𝐵)canbedeterminedfromtheforceproduced.Theforce𝐹onalength𝑙ofwirecarryingacurrent𝐼isgivenby:
𝐹 = 𝐵𝐼𝑙!Rearrangethisequationtomakethemagneticfluxdensity(B)thesubject.!Fromthisequation,whataretheunitsformagneticfluxdensity?Themagneticfluxdensityisgivenitsownunitcalledthetesla(T).
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!A3cmlengthofwirecarryingacurrentof2Aisplacedatrightanglestoauniformmagneticfield.Itexperiencesaforceof0.3N.Whatisthemagneticfluxdensity?!UsingFlemming’sLeftHandRule,whatdirectionwouldtheforceactinthediagramabove?Ifthecurrent-carryingwireisnotatrightanglestothemagneticfluxlines,thentheforcewillbeless.Theforceonthewireisthereforemodified:
𝐹 = 𝐵𝐼𝑙 sin 𝜃where𝜃istheanglebetweenthecurrentdirectionandthemagneticfluxlines.!Whatwouldtheforcebeiftheangle𝜃iszero?
I B
I B𝜃