1.

A hollow cylinder of specific resistance rho, inner radius R, outer radius 2R and length l is as shown in figure. What is the net resistance between the inner and outer surface?

Answer»

Solution :Consider a ring of width .dr. and RADIUS .r..
RESISTANCE across
the ring is `dR=(rhodr)/(dA)=(rhodr)/(2PI rl)`

Net resistance `=int_(R)^(2R)(rho(dr))/((2pirl))=((rho)/(2pil))ln(2)`


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