In the circuit shown, a meter bridge is in its balanced state. The meter bridge wire has a resistance 0.1 ohm/cm. The value of unknown resistance X and the current drawn from the battery of negligible resistance is

Question

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Answer 1

Resistance of the part $A C$
$R_{A C} = 0.1 \times 40 = 4 Ω$ and $R_{C B} = 0.1 \times 60 = 6 Ω$
In balanced condition $\frac{X}{6} = \frac{4}{6} \Rightarrow X = 4 Ω$
Equivalent resistance $R_{e q} = 5 Ω$ so current drawn from battery $i = \frac{5}{5} = 1 A$

Answer 2

Resistance of the part

A C

R_{A C} = 0.1 \times 40 = 4 Ω

and

R_{C B} = 0.1 \times 60 = 6 Ω

In balanced condition

\frac{X}{6} = \frac{4}{6} \Rightarrow X = 4 Ω

Equivalent resistance

R_{e q} = 5 Ω

so current drawn from battery

i = \frac{5}{5} = 1 A