Largesheet Aninsulatorintheformofasquaresheetwithsidelength uniformlyonit.TheblueGaussiancylinderhasaheight sheet. L hasachargeof+3 h andradius r andhalfofitisabovethe Q distributed 1.Findthechargedensityonthesheet. r =0, r = R/2, r =2 R,and 2.FindtheamountofchargeenclosedinGaussiancylinderofradii r =4 R.
Largesheet Aninsulatorintheformofasquaresheetwithsidelength uniformlyonit.TheblueGaussiancylinderhasaheight sheet. L hasachargeof+3 h andradius r andhalfofitisabovethe Q distributed 1.Findthechargedensityonthesheet. r =0, r = R/2, r =2 R,and 2.FindtheamountofchargeenclosedinGaussiancylinderofradii r =4 R.
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L hasachargeof+3
Q distributed
Aninsulatorintheformofasquaresheetwithsidelength
uniformlyonit.TheblueGaussiancylinderhasaheight
h andradius r andhalfofitisabovethe
sheet.
1.Findthechargedensityonthesheet.
r =0 , r = R/2, r =2 R,and
2.FindtheamountofchargeenclosedinGaussiancylinderofradii
r =4 R.
3.PlotthefourvaluesofenclosedchargecalculatedaboveversustheradiusoftheGaussiancylinder.
4.Findanequationthatrelates
Q encl and r for r<R _Plotthisequationonthegraphabove.
5.Findanequationthatrelates
Q encl and r for r>R _Plotthisequationonthegraphabove.
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