A long straight wire has fixed negative charge with a linear charge density of magnitude 5.2 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.8 cm. The shell is to have positive charge on its outside surface with a surface charge density σ that makes the net external electric field is zero. Calculate σ.
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OpenStudy (austinl):
@random231 @divu.mkr
You guys have any brilliant thoughts :D
random231 (random231):
cool question working on it!
OpenStudy (anonymous):
2k (lambda) = (sigma)R/ E0
solve this and revert back
OpenStudy (anonymous):
if your answer got correct
random231 (random231):
wats k?
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OpenStudy (anonymous):
@austinL you know whats k ?
OpenStudy (austinl):
k?
\(8.99\times 10^9~~ Nm^2/C^2\)
OpenStudy (anonymous):
yep and k= 1/4pi E0
random231 (random231):
ok ok i know that !!!
OpenStudy (austinl):
Okay, so evidently the answer is \(45.978\times 10^{-9}~~ C/m^2\)
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OpenStudy (anonymous):
and it matches with the answer of the equation?
random231 (random231):
its basically gauss's law again!
see the attachment!
random231 (random231):
got it? its a bit shortcut!!!
random231 (random231):
@austinL
OpenStudy (austinl):
Yep, sorry I had some chores to do. Yep, makes sense! Thank you :D