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.
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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Transcribed Image Text:Sphericalshell
Q distributed onitssurface .Thecross-section
Aninsulatingsphereofradius
ofthesphereisshownalongwithadashedlinerepresentingthesurfaceofaGaussiansphere,which
hasthesamecenterasthechargedsphereandaradius
R hasachargeof+3
r.
1.Findthesurfacechargedensityontheinsulatingsphere.
r =0 , r = R/2, r =2 R,and
2.FindtheamountofchargeenclosedinGaussiansphereofradii
r =4 R.
3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiansphere.
4.Findanequationthatrelates
Q encl and r for r<R _Plotthisequationonthegraphabove.
5.Findanequationthatrelates
Q encl and r for >R _Plotthisequationonthegraphabove.
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