Aninsulatingsphereofradius R hasachargeof+3 Q distributed onitssurface Thecross-section ofthesphereisshownalongwithadashedlinerepresentingthesurfaceofaGaussiansphere,which hasthesamecenterasthechargedsphereandaradius r. 1.Findthesurfacechargedensityontheinsulatingsphere. 2.FindtheamountofchargeenclosedinGaussiansphereofradii r =4 R. r =0 , r = R/2, r =2 Rand 3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiansphere. 4.Findanequationthatrelates Q encl and r for rR Plotthisequationonthegraphabove.

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