17-01-09

find the resistance of a wire of length L

which has a radius of r on one end and R on the other

The radius changes uniformly with length

And the resistivity is ρ

Philip points out that this is in HCV.. So I have changed the question a bit...

the radius varies as the square of the distance from the side where Radius is "r"

8 Answers

1
Philip Calvert ·

ρL/ΠrR

this is directly from HCV

1
Philip Calvert ·

shud i post complete soln. ?

62
Lokesh Verma ·

hmm.. okie.. i din know it is there..

may be then we can change it a bit.. To the following...

the radius varies as the square of the distance from the side where Radius is "r"

1
Philip Calvert ·

you mean that at a dist x radius = r+x2 ??

62
Lokesh Verma ·

no it is

r+k.x2

at x=L

We get R=r+kL2

so k=(R-r)/L2

1
Philip Calvert ·

sorry messed it up in my mind [1]
i'll post soln in two mins

1
Philip Calvert ·

[11] do you want me to integrate what im getting

1
Philip Calvert ·

ok i got
L
L2p/π ∫ dx/(L2r+x2(R-r))2
0

and i dont see any short method and also i don't want to use trigonometry in this now [2]

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