A ring is made of a wire having a resistance 
. Find the points 
and 
, as shown in the figure, at which a current carrying conduct or should be connected so that the resistance R of the sub circuit between these points is equal to 
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
be resistance per unit length of the wire. Then,
the resistance of the upper portion is, 
the resistance of the lower portion is, 
Equivalent resistance between 
and 
is
or 
or 
Also 
(ii)
Divide (i) by (ii), we get
or 
or 
Let 
or 
or 
Solving this quadratic equation, we get 
or 2 
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