A long straight wire has fixed negative charge with a linearcharge density of ma

Question

A long straight wire has fixed negative charge with a linearcharge density of magnitude 3.7 nC/m. Thewire is to be enclosed by a coaxial, thin-walled, nonconductingcylindrical shell of radius 1.7 cm. Theshell is to have positive charge on its outside surface with asurface charge density that makes the net externalelectric field zero. Calculate . The answer is in C/m^2 A long straight wire has fixed negative charge with a linearcharge density of magnitude 3.7 nC/m. Thewire is to be enclosed by a coaxial, thin-walled, nonconductingcylindrical shell of radius 1.7 cm. Theshell is to have positive charge on its outside surface with asurface charge density that makes the net externalelectric field zero. Calculate . The answer is in C/m^2

Explanation / Answer

   we use the equation that

    we use the radius of the cylinder by R =0.017 m
    the net electric field for r > R is given by
   Enet = Ewire +Ecylinder
           = (- / 2 o r) + (' / 2 o r)
   - = - 5.2 nC / m is the linear chargeddensity of the wire
   ' is the linear charge ddensity of thecylinder
   qcylinder = ' L
                = (2 R L)
   ' = (2 R)
    = / 2 R
      = ......... C / m2

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