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Question

Question: Four wires AB, BC, CD, DA of resistance 4 ohm each and a fifth wire BD of resistance 8 ohm are joine...

Four wires AB, BC, CD, DA of resistance 4 ohm each and a fifth wire BD of resistance 8 ohm are joined to form a rectangle ABCD of which BD is a diagonal. The effective resistance between the points A and B is

A

24 ohm

B

16 ohm

C

43ohm\frac{4}{3}ohm

D

83ohm\frac{8}{3}ohm

Answer

83ohm\frac{8}{3}ohm

Explanation

Solution

Effective resistance between the points A and B is R=3212=83ΩR = \frac{32}{12} = \frac{8}{3}\Omega