A uniform wire of total resistance 20 Ω and having resistance per unit length 1 Ω/m is bent in the form of the
circle as shown in the figure. If the equivalent resistance between M and N is 1.8 Ω, then find the length of the
shorter section.
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Answered by
6
R=20Ω
L=20m
Let the length of the shorter section be x
length of longer section is (20-x)
R
eq
=
20
x(20−x)
=1.8
20x−x
2
=36
x
2
−20x+36=0
(x−2)(x−18)=0
x=2m
length of shorter side=2m
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20
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