Consider a non-conducting cylinder of infinite length and radius a, which carries a uniform volume charge density p. Sur

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Consider A Non Conducting Cylinder Of Infinite Length And Radius A Which Carries A Uniform Volume Charge Density P Sur 1 (184.75 KiB) Viewed 13 times

Consider a non-conducting cylinder of infinite length and radius a, which carries a uniform volume charge density p. Surrounding this object is an uncharged conducting cylindrical shell. The metal tube is also of infinite length, and its inner and outer radii are b₁ and b₂ respectively. In this problem, we will define the potential to be zero at the outer surface of the conducting shell and use that as a reference point. (a) What is the electric potential at r>b₂? V=0\ (b) What is the electrical potential at b₁ <r<b₂? (c) What is the electric potential at the center of the non-conducting cylinder? b₁ (d) For a=2 cm, b₁=5 cm, b₂ =7 cm and p= +8 C/m³, what is the value of potential at the center of the non-conducting cylinder? (e) We often use infinity as a reference point, and set the potential to zero there. Why could we not choose infinity as the zero of potential in this particular problem? b2 conducting shell, uncharged