3. Consider a metallic wire encircled by a cylindrical conducting shell as shown below. The space between the wire and the shell is filled with a dielectric of permittivity ɛ1. The space outside the shell is another dielectric with permittivity &2. • Inner radius: a • Outer radius: b (1) Initially, no charge is present. Find the electric field and potential distribution in the whole space. For (2) and (3), assume the wire is charged with infinite line charge density pı. (2) Find the induced surface charge density on surfaces a and b. (3) Find the distribution of electric fields, electric flux density, potential, and polarization.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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3. Consider a metallic wire encircled by a cylindrical conducting shell as shown below. The space
between the wire and the shell is filled with a dielectric of permittivity ɛ1. The space outside
the shell is another dielectric with permittivity E2.
• Inner radius: a
• Outer radius: b
(1) Initially, no charge is present. Find the electric field and potential distribution in the
whole space.
For (2) and (3), assume the wire is charged with infinite line charge density pi.
(2) Find the induced surface charge density on surfaces a and b.
(3) Find the distribution of electric fields, electric flux density, potential, and polarization.
Transcribed Image Text:3. Consider a metallic wire encircled by a cylindrical conducting shell as shown below. The space between the wire and the shell is filled with a dielectric of permittivity ɛ1. The space outside the shell is another dielectric with permittivity E2. • Inner radius: a • Outer radius: b (1) Initially, no charge is present. Find the electric field and potential distribution in the whole space. For (2) and (3), assume the wire is charged with infinite line charge density pi. (2) Find the induced surface charge density on surfaces a and b. (3) Find the distribution of electric fields, electric flux density, potential, and polarization.
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