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Question

What is the equivalent resistance of the network shown in figure? The numbers indicate resistance in ohms


A
8 ohm
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B
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C
4 ohm
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D
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Solution

The correct option is B

The network consists of four loops connected in series. Each loop consists of two 1 ohm resistors in series connected in parallel with two ohm resistors in series. Thus the effective resistance R of each loop is given by 1R = 12+14 giving R = 43 ohm. Therefore the equivalent resistance of the network = resistance of four loops connected in series each having an effective resistance of 43 ohm = 4× 43 = 163 ohm


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