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Q.

A wire of resistance 12 ohm per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points A and B as shown in the figure is
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a

0.6πΩ

b

3Ω

c

6Ω

d

6πΩ

answer is C.

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Detailed Solution

Length of semi-circle L=πr=π(0.1)
 Resistance of each semi-circle 
R=12×0.1π=1.2πΩ
Equivalent resistance between point A and B
Req=1.2π||1.2π=1.2π2=0.6πΩ
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