Question 587: Current Electricity

Question

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

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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