The equivalent resistance between the points X and Y of the following fig is

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The equivalent resistance between the points X and Y of the following fig is

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10 $Ω$

50 $Ω$

22 $Ω$

20 $Ω$

answer is A.

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Detailed Solution

The equivalent circuit is shown in fig. Since the

bridge is balanced, hence the resistance between B and D is in effective.
Resistance of part ABC = 10 + 10 = 20 $Ω$
Resistance of pad ADC = 10 + 10 = 20 $Ω$
Equivalent resistance E is given by
$\begin{aligned} \frac{1}{R} = \frac{1}{20} + \frac{1}{20} = \frac{2}{20} = \frac{1}{10} \\ R = 10 Ω \end{aligned}$