Question 558: Current Electricity

Question

A current through 1 $\Omega$ resistance in the following circuit is
![](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lnh0sgb7/a68bcdd2-e3b6-4799-8c84-0b48a5fb8567/01f7d720-659b-11ee-a6ec-2bb503f151f3/file-6y3zli1lnh0sgb8.png?format=png)

Accepted Answer

It is a balanced Wheatstone bridge. Hence no current flows through the galvanometer and it can be removed from the circuit. $5 \Omega$ and $1 \Omega$ resistances are in series. Their equivalent resistance is $5+1=6 \Omega$. $12.5 \Omega$ and $2.5 \Omega$ resistances are also in series. Their equivalent resitance is $15 \Omega$. $6 \Omega$ and $15 \Omega$ resistances are in parallel. If $I_1$ and $I_2$ are the currents in them then
$\begin{array}{ll}
6 \mathrm{I}_1=15 \mathrm{I}_2 & 	herefore \mathrm{I}_2=0.4 \mathrm{I}_1 \
\mathrm{I}_1+\mathrm{I}_2=2.1 \mathrm{~A} & 	herefore \mathrm{I}_1=\frac{2.1}{1.4}=1.5 \mathrm{~A}
\end{array}$

Answer

1.8 A

Answer

1.2 A

Answer

1.5 A

Answer

1 A

Current Electricity

A current through 1 \Omega resistance in the following circuit is

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