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Equivalent Resistance in Series Circuit

In Fig. 5.52,...

Question

In Fig. 5.52, the resistances are common as shown. Given $R_{1} = 10$ $Ω$ and $R_{2} = 20 Ω$ . Determine equivalent resistance between points (i) A and D and C.

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Solution

Applying symmetry along $B C$ resistance between $A D$ will be shorted $.$
$= \frac{\frac{140}{3} \times \frac{20}{3}}{\frac{160}{3}} = \frac{35}{6} Ω .$

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