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CBSE Class 10 Answered

A wire of length 10 cm is bent in the form of a circle of radius 2 mm. Calculate equivalent resistance along any two diametrically opposite points if total resistance of wire was 4 ohm
Asked by shailendra.ca1976 | 16 May, 2019, 09:45: PM
answered-by-expert Expert Answer
 
The total resistance of 2∏R is 4 Ω.
The two points divide the circle in two semi-circles.
Thus the length of each semi-circle is ∏R. 
For equivalent resistance along two diametrically opposite points:
 
The resistance of ∏R is 2 Ω
The two resistors are in parallel.
Thus,
Equivalent resistance between A and B,
 
1 over R subscript p equals 1 half plus 1 half
1 over R subscript p equals 1
rightwards double arrow space R subscript p space equals space 1 space capital omega 
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