Question

A wire of resistance 10 is bent in the form of a circle. Find the effective resistance between the points a and b which lies on the diameter.

Answer 1

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➡If a wire of 10 ohm is bent in the form of a circle of diameter ab

➡The resistance of the upper and lower parts becomes 5 ohm and 5 ohm respectively.

➡They are in parallel.

$\: R_1 = R_2 = 5 \: ohm$

Hence the effective resistance across the ends of diameter :

$\: 1/R_p =1/R_1+1/R_2$

$\: 1/R_p = 1/5 +1/5$

$\: 1/R_p =2/5$

$\: R_p =5/2 =2.5 ohm$

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