Two long thin concentric conducting cylinders of radii R and 2R carry equal and opposite charges. The charge per unit area of the inner cylinder is o and that of the outer cylindrical shell is -oʻ. Using Gauss's law, find a) Electric field for r 2R in terms of the known quantities. b) The potential difference between R and 2R. c) The capacitance per unit length of the cylinders. . d) If the space between the cylinders is filled with a dielectric material of dielectric constant k, what will be the capacitance per unit length of the cylinders and the potential difference between R and 2R with the dielectric? 3.

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Two long thin concentric conducting cylinders of radii R and 2R carry equal and opposite charges. The
charge per unit area of the inner cylinder is o and that of the outer cylindrical shell is -o'. Using Gauss's
law, find
a) Electric field for r<R, R <r<2R, and r > 2R in terms of the known quantities..
b) The potential difference between R and 2R.
c) The capacitance per unit length of the cylinders.
d) If the space between the cylinders is filled with a dielectric material of dielectric constant k, what will be
the capacitance per unit length of the cylinders and the potential difference between R and 2R with the
dielectric?
3.
2R
Transcribed Image Text:Two long thin concentric conducting cylinders of radii R and 2R carry equal and opposite charges. The charge per unit area of the inner cylinder is o and that of the outer cylindrical shell is -o'. Using Gauss's law, find a) Electric field for r<R, R <r<2R, and r > 2R in terms of the known quantities.. b) The potential difference between R and 2R. c) The capacitance per unit length of the cylinders. d) If the space between the cylinders is filled with a dielectric material of dielectric constant k, what will be the capacitance per unit length of the cylinders and the potential difference between R and 2R with the dielectric? 3. 2R
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