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Question

Calculate the resistance between the points X and Y in the network shown below.

[4 MARKS]

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Solution

Formula for parallel connection: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

We can redraw the given circuit as shown in Fig (i). The resistors of 3Ω and 2Ω are in series. Therefore, their equivalent resistance
=3+2=5Ω

Now, the resistors of 5Ω,1Ω and 5Ω are parallel as shown in Fig. (ii).
Therefore, their equivalent resistance :
1R=15+1+15=1+5+15=75
Or R=57=0.71Ω
Hence, the resistance between X and Y is 0.71Ω.

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