Problem 1: An infinitely long, non-conducting cylindrical shell of inner radius R1 and outer radius R2 has a uniform volume charge density p . Find expressions for the electric field strength for (a) rR2. R2 R1 Figure 1. Pictorial representation of a portion of the non-conducting cylindrical shell. Problem 2: A non-conducting spherical shell of inner radius a and outer radius b has a positive volume charge density p=A/r, where A is constant and r is the distance from the center of the shell. A positive charge +2g is located at the center of the shell. Find an expression for A if the electric field at asrsb is to be uniform. p = A/r +2g b Figure 2. Pictorial representation of the non-conducting spherical shell and the positive point charge at its center.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1: An infinitely long, non-conducting cylindrical shell of inner radius R1 and outer radius
R2 has a uniform volume charge density p . Find expressions for the electric field strength for
(a) r<R1, (b) R1<r«R2, and (c) r>R2.
R2
R1
Figure 1. Pictorial representation of a portion of the non-conducting cylindrical shell.
Problem 2: A non-conducting spherical shell of inner radius a and outer radius b has a positive
volume charge density p=A/r, where A is constant and r is the distance from the center of the
shell. A positive charge +2g is located at the center of the shell. Find an expression for A if the
electric field at asrsb is to be uniform.
p = A/r
+2g
b
Figure 2. Pictorial representation of the non-conducting spherical shell and the positive point
charge at its center.
Transcribed Image Text:Problem 1: An infinitely long, non-conducting cylindrical shell of inner radius R1 and outer radius R2 has a uniform volume charge density p . Find expressions for the electric field strength for (a) r<R1, (b) R1<r«R2, and (c) r>R2. R2 R1 Figure 1. Pictorial representation of a portion of the non-conducting cylindrical shell. Problem 2: A non-conducting spherical shell of inner radius a and outer radius b has a positive volume charge density p=A/r, where A is constant and r is the distance from the center of the shell. A positive charge +2g is located at the center of the shell. Find an expression for A if the electric field at asrsb is to be uniform. p = A/r +2g b Figure 2. Pictorial representation of the non-conducting spherical shell and the positive point charge at its center.
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