What is the total resistance across A and B in the circuit shown in figure

Ω

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Ω

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1.5

Ω

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none of these

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Solution

The correct option is D 2 $Ω$
As the given circuit is a balanced wheat stone bridge, thus no current flows through $10 Ω$ resistor.
Equivalent resistance of path 1 $R_{1} = 2 + 2 = 4 Ω$
Equivalent resistance of path 2 $R_{2} = 2 + 2 = 4 Ω$
$∴$ Equivalent resistance between A and B $R_{A B} = 4 ∥ 4 = \frac{4 \times 4}{4 + 4} = 2 Ω$

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What is the total resistance across A and B in the circuit shown in figure

The correct option is D 2 ΩAs the given circuit is a balanced wheat stone bridge, thus no current flows through 10Ω resistor.Equivalent resistance of path 1 R1=2+2=4ΩEquivalent resistance of path 2 R2=2+2=4Ω∴ Equivalent resistance between A and B RAB=4∥4=4×44+4=2Ω