Current Electricity Charging Discharging Of Capacitors Question 700

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

Options:

A) $ 3\Omega $

B) $ 6\pi \Omega $

C) $ 6\Omega $

D) $ 0.6\pi \Omega $

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Answer:

Correct Answer: A

Solution:

[a] The resistance of length $ 2\pi R $ is $ 12\Omega $ . Hence the resistance of length $ \pi R $ is $ 6\Omega . $ . Thus two resistances of $ 6\Omega $ can be represented as shown in fig. 2.
$ \

Therefore $ Equivalent resistance $ R=\frac{6\times 6}{12}=3\Omega $