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 $
Show Answer
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 $