Asolidinsulatingcylinderofradius, withinit.TheGaussiancylindershownhasthesamecenterlineastheinsulatingcylinder,length andradius r. R andlength, L hasachargeof+3 Q uniformlydistributed I, 1.Findthechargedensityintheinsulatingcylinder. 2.FindtheamountofchargeenclosedinaGaussiancylinderofradius r =4 R. r=0,r = R/2, r =2 R,and 3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiancylinder.

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Solidcylinder
Asolidinsulatingcylinderofradius,
withinit.TheGaussiancylindershownhasthesamecenterlineastheinsulatingcylinder,length
andradius r.
R andlength, L hasachargeof+3
Q uniformlydistributed
1,
1.Findthechargedensityintheinsulatingcylinder.
2.FindtheamountofchargeenclosedinaGaussiancylinderofradius
r =4 R.
r =0 , r = R/2, r =2 R,and
3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiancylinder.
4.Findanequationthatrelates
Q encl and r for r<R .Plotthisequationonthegraphabove.
5.Findanequationthatrelates
Q encd and r for r>RPlotthisequationonthegraphabove.
Transcribed Image Text:Solidcylinder Asolidinsulatingcylinderofradius, withinit.TheGaussiancylindershownhasthesamecenterlineastheinsulatingcylinder,length andradius r. R andlength, L hasachargeof+3 Q uniformlydistributed 1, 1.Findthechargedensityintheinsulatingcylinder. 2.FindtheamountofchargeenclosedinaGaussiancylinderofradius r =4 R. r =0 , r = R/2, r =2 R,and 3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiancylinder. 4.Findanequationthatrelates Q encl and r for r<R .Plotthisequationonthegraphabove. 5.Findanequationthatrelates Q encd and r for r>RPlotthisequationonthegraphabove.
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