A wire of resistance $$12$$ Ω m−$$1$$ is bent to form a complete circle of radius $$10$$ cm. The resistance between its two diametrically opposite point s, A and B, as shown in the figure, is

Question

A wire of resistance $$12$$   Ω  m−$$1$$ is bent to form a complete circle of radius $$10$$ cm. The resistance between its two diametrically opposite point s, A and B, as shown in the figure, is

Infinity Learn · Accepted Answer

Circumference of circle $$2$$  ×  π $$10100$$  $$=$$  $$2$$$$π$$$$10$$ $$=$$ π$$5Resistance$$ of wire $$=$$  $$12$$ × π$$5$$ $$=$$ $$12$$$$π$$$$5Resistance$$ of each section $$=$$ $$12$$$$π$$$$10$$  Ω∴   Equivalent resistanceReq  $$=$$  $$12$$$$π$$$$10$$ ×  $$12$$$$π$$$$1012$$$$π$$$$10$$ $$+$$  $$12$$$$π$$$$10$$  $$=$$  $$6$$$$π$$$$10$$  $$=$$  $$0.6$$  π  Ω

A wire of resistance $12 Ω m^{- 1}$ is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point s, A and B, as shown in the figure, is

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A wire of resistance 12 Ω m−1 is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point s, A and B, as shown in the figure, is

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A wire of resistance $12 Ω m^{- 1}$ is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point s, A and B, as shown in the figure, is