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Resistance of 12 ohm is cut into three equal parts and add in triangular shape.find out resistance between two points of triangle

Resistance of 12 ohm is cut into three equal parts and add in triangular shape.find out resistance between two points of triangle

Grade:10

1 Answers

Vikas TU
14149 Points
7 years ago
Resistance is directly proprtional to sq. of length.
Hence after cutting the length becomes l/3, l/3 and l/3 respectively.
Hence Resistances corresponding to those lengths would be:
R = kl^2
and 
(let) r = k(l/3)^2
R/r = 9kl^2/kl^2 => 9
r =  R/9 => 12/9 = > 4/3 ohm.
 
Now net  resistance between two points of triangle = >
8/3 and  4/3 in parallel.
=> (8/3) * (4/3) /((8/3) + (4/3))
=> (32/9) / 4
=> 8/9 ohm.

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