First slide

combination of resistance

Question

Thirteen resistances, each of resistance R ohm, are connected in the circuit as shown in figure. The effective resistance between A and B is

Moderate

A

$\frac{4 R}{3} Ω$
B

$2 RΩ$
C

$RΩ$
D

$\frac{2 R}{3} Ω$

Solution

The given circuit may be reduced to
$\Rightarrow R_{AB} = \frac{\frac{4 R}{3} \times \frac{4 R}{3}}{\frac{4 R}{3} + \frac{4 R}{3}} = \frac{2 R}{3}$

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