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Calculate the Effective Resistance Between the Points a and B in the Network Shown Below In Figure 8.45 - Physics

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Question

Calculate the effective resistance between the points A and B in the network shown below in Figure 8.45   

Short/Brief Note
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Solution

In the diagram, 2Ω and 1Ω resistances are in series. The equivalent resistance of the arm R' = 2 + 1 = 3 Ω

Between the points A and B, the equivalent resistance R' (= 3 Ω) is in parallel with 1.5 Ω

Hence, total effective resistance between A and B is

R = `(3 xx 1.5)/(3 + 1.5) = 4.5/4.5 = 1.0 Ω`

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