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Question: A wire has resistance 12 ohm. It is bent in the form of a circle . The effective resistance between the two points on any diameter of the circle is:

(a) 12

Solution:

If the total resistance of the wire is R, then after bending the total resistance will still be R.

Now, along any diameter, we can say that the whole circle is divided into two segments.

So, the resistance of each segment is half, i.e. R/2

Now, these two segments are connected in parallel. So, the effective resistance is:

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