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  4. In balanced metre bridge, the resistance of bridge wire is 0.1Ω/ cm. Unknown resistance ‘X’ is connected in left gap and 6Ω in right gap, null point divides the wire in the ratio 2: 3. Find the current drawn from the battery of 5 V having negligible resistance.

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Q. In balanced metre bridge, the resistance of bridge wire is $0.1Ω/\, cm$. Unknown resistance ‘$X$’ is connected in left gap and $6Ω$ in right gap, null point divides the wire in the ratio $2 : 3$. Find the current drawn from the battery of $5 \,V$ having negligible resistance.

MHT CETMHT CET 2016Current Electricity

Solution:

Resistance of meter bridge $=100 \times 0.1=10 \,\Omega$
$\frac{x}{6}=\frac{2}{3} \rightarrow x=4 \Omega $
$\frac{1}{R_{t}}=\frac{1}{6+4}+\frac{1}{10} \rightarrow R_{T}=5$
$I=\frac{V}{R_{T}}=\frac{5}{5}=1 A$