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
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(c) Resistance of the part $AC$
${R_{AC}} = 0.1 \times 40 = 4\,\Omega $ and ${R_{CB}} = 0.1 \times 60 = 6\,\Omega $
In balanced condition $\frac{X}{6} = \frac{4}{6} \Rightarrow X = 4\,\Omega $
Equivalent resistance ${R_{eq}} = 5\,\Omega $ so current drawn from battery $i = \frac{5}{5} = 1\,A$.
${R_{AC}} = 0.1 \times 40 = 4\,\Omega $ and ${R_{CB}} = 0.1 \times 60 = 6\,\Omega $
In balanced condition $\frac{X}{6} = \frac{4}{6} \Rightarrow X = 4\,\Omega $
Equivalent resistance ${R_{eq}} = 5\,\Omega $ so current drawn from battery $i = \frac{5}{5} = 1\,A$.
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