CYL-1 An infinitely long nonconducting solid cylinder of radius R has a constant charge density +po. End view of cylinder: Side view of a short length of the cylinder: .a Z R a) Sketch both of these views on your paper and show the electric field lines in both views produced by the cylinder of charge. b) You are going to apply Gauss' law to find the magnitude of the electric field at point 'a'. Draw on both views of your figure an appropriate Gaussian surface that can be used to find Ea. Show on your figures representative area vector elements, dA, at point 'a' and for each distinct part of your gaussian surface. c) Apply Gauss' law EdA-qenc/Eo to find an expression for the electric field at 'a' in terms of p and any other constants (but not in terms of q). d) Repeat steps b) and c) to find the electric field strength at point 'b'. You may modify your results from b) and c) as appropriate.

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CYL-1 An infinitely long nonconducting solid cylinder of radius R has a constant charge density +po.
End view of cylinder:
Side view of a short
length of the cylinder:
.a
Z
R
a) Sketch both of these views on your paper and show the electric field lines in both views produced by
the cylinder of charge.
b) You are going to apply Gauss' law to find the magnitude of the electric field at point 'a'. Draw on both
views of your figure an appropriate Gaussian surface that can be used to find Ea. Show on your figures
representative area vector elements, dA, at point 'a' and for each distinct part of your gaussian surface.
c) Apply Gauss' law EdA-qenc/Eo to find an expression for the electric field at 'a' in terms of p and
any other constants (but not in terms of q).
d) Repeat steps b) and c) to find the electric field strength at point 'b'. You may modify your results from
b) and c) as appropriate.
Transcribed Image Text:CYL-1 An infinitely long nonconducting solid cylinder of radius R has a constant charge density +po. End view of cylinder: Side view of a short length of the cylinder: .a Z R a) Sketch both of these views on your paper and show the electric field lines in both views produced by the cylinder of charge. b) You are going to apply Gauss' law to find the magnitude of the electric field at point 'a'. Draw on both views of your figure an appropriate Gaussian surface that can be used to find Ea. Show on your figures representative area vector elements, dA, at point 'a' and for each distinct part of your gaussian surface. c) Apply Gauss' law EdA-qenc/Eo to find an expression for the electric field at 'a' in terms of p and any other constants (but not in terms of q). d) Repeat steps b) and c) to find the electric field strength at point 'b'. You may modify your results from b) and c) as appropriate.
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