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A cylindrical tube of length l has inner...

A cylindrical tube of length l has inner radius a while outer radius b. What is the resistance of the tube between (a) its ends (b) inner and outer surfaces ? (The resistivitiy of its material is p)

Text Solution

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(a) `A=pi(b^(2)-a^(2))`
`R=(pl)/(pi(b^(2)-a^(2)))`
(b) `d_(R)=(rhodx)/(2pixl)`
for a section taken at distance x form centre.
`d_(R)=rho/(2pil)(dx)/x`
`rArrR=intdR=rho/(2pil)underset(b)overset(a)int(dx)/x="ln"(b)/(a)`
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