The correct option is
C 0.6πΩGiven: A wire of resistance
12Ω per meter is bent to form a complete circle of radius
10cm.
To find the resistance between its two diametrically opposite points,A and B
Solution:
Length of the wire = 2×π×10cm=0.2πm
Resistance of the wire when it is a straight line
=12×0.2π=2.4πΩ
When the wire is bent in the form of a complete circle as shown in above figure.
Resistance between points A and B is
R1R2R1+R2⟹=1.2π×1.2π1.2π+1.2π⟹=1.44π2.4⟹=0.6πΩ
is the resistance between its two diametrically opposite points,A and B
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