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Question: A conductor of resistance 3W is stretched uniformly till its length is doubled. The wire is now bent...

A conductor of resistance 3W is stretched uniformly till its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle in ohms is –

A

92\frac{9}{2}

B

83\frac{8}{3}

C

2

D

1

Answer

83\frac{8}{3}

Explanation

Solution

R = 3 W when stretched R' = 4 × 3 = 12 W

each part of D is 4W

RAB = 8×48+4\frac{8 \times 4}{8 + 4} = 3212\frac{32}{12}= 83\frac{8}{3}