Question

# Twelve identical resistors of 6 $$\Omega$$ each are connected to form a cube as shown above. The effective resistance across the solid diagonal, AG is :

A
5Ω
B
4.5Ω
C
3.5Ω
D
1.5Ω

Solution

## The correct option is A $$5\Omega$$$$I R_{eff} = V$$$$\dfrac{I}{3} \times R + \dfrac{I}{6} \times R + \dfrac{I}{3} \times R = I R_{eff}$$$$R[\dfrac{2}{3} + \dfrac{1}{6}] = R_{eff}$$$$R_{eff} = \dfrac{R \times 15}{18}$$$$R_{eff} = 5\Omega$$PhysicsNCERTStandard XII

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