A very long, solid insulating cylinder with radius R has a cylindrical hole with radius a bored along its entire length. The axis of the hole is a distance b from the axis of the cylinder, where a < b < R (as shown in figure). The, solid material of the cylinder has a uniform volume charge density p. Find the magnitude and direction of the electric field inside the hole, and show that this is uniform over the entire hole. R a Charge density p Fig.

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A very long, solid insulating cylinder with radius R has a
cylindrical hole with radius a bored along its entire length.
The axis of the hole is a distance b from the axis of the
cylinder, where a < b < R (as shown in figure). The, solid
material of the cylinder has a uniform volume charge density
p. Find the magnitude and direction of the electric field inside
the hole, and show that this is uniform over the entire hole.
R
Charge density p
Fig.
Transcribed Image Text:A very long, solid insulating cylinder with radius R has a cylindrical hole with radius a bored along its entire length. The axis of the hole is a distance b from the axis of the cylinder, where a < b < R (as shown in figure). The, solid material of the cylinder has a uniform volume charge density p. Find the magnitude and direction of the electric field inside the hole, and show that this is uniform over the entire hole. R Charge density p Fig.
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