A long, conducting copper pipe has inner radius a = 6.7 mm and outer radius b = 8.0 mm. The pipe has zero net charge. A thin wire is threaded through the pipe, along its central axis and without making contact with the pipe. The wire has linear charge density A = +5.9 µC/m. What is the induced surface charge density o on the inner surface of the pipe? For the limits check, investigate what happens to o if the pipe becomes extremely narrow inside (a →0).

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A long, conducting copper pipe has inner
radius a = 6.7 mm
and outer radius b = 8.0 mm. The pipe has
zero net charge.
A thin wire is threaded through the pipe,
along its central
axis and without making contact with the
pipe. The wire has
linear charge density A = +5.9 µC/m. What
is the induced
surface charge density o on the inner
surface of the pipe? For
the limits check, investigate what happens
to o if the pipe
becomes extremely narrow inside (a →0).
Transcribed Image Text:A long, conducting copper pipe has inner radius a = 6.7 mm and outer radius b = 8.0 mm. The pipe has zero net charge. A thin wire is threaded through the pipe, along its central axis and without making contact with the pipe. The wire has linear charge density A = +5.9 µC/m. What is the induced surface charge density o on the inner surface of the pipe? For the limits check, investigate what happens to o if the pipe becomes extremely narrow inside (a →0).
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