The equivalent resistance between A and B is [2023]

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Solution

Q.
The equivalent resistance between A and B is [2023]

1 $\frac{2}{3} Ω$

2 $\frac{1}{2} Ω$

3 $\frac{3}{2} Ω$

4 $\frac{1}{3} Ω$

Ans.
(1)

$\frac{1}{R_{eq}} = \frac{1}{2} + \frac{1}{12} + \frac{1}{4} + \frac{1}{6} + \frac{1}{2}$

$= \frac{6 + 1 + 3 + 2 + 6}{12} = \frac{18}{12} = \frac{3}{2}$

$\Rightarrow R_{eq} = \frac{2}{3} Ω$

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