A wire of resistance 12 ohms per metre 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 : NEET 2009

Question

A wire of resistance 12 ohms per metre 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 : NEET 2009 (Mains)

TestHub · Accepted Answer

Total resistance of wire = 12Ω × 2 π × 1 0 − 1 = 2.4 π Resistance of each half = 2 2.4 π ​ = 1.2 π and as about diameter both parts are in parallel Req. = 2 1.2 π ​ = 0.6 π Ω

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