In the figure given below, $A, B$. and $C$ are three ammeters. The ammeter $B$ reads $0.5\, A .$ (All the ammeters have negligible resistance.) Calculate
$(i)$ the readings in the ammeters $A$ and $C$. $(ii)$ the total resistance of the circuit.
$(i)$ The current in the ammeters $B$ and $C$ is inversely proportional to the value of resistance in the parallel branch. Therefore,
$\frac{\text { reading of ammeter } C}{\text { reading of ammeter } B}=\frac{6}{3}=2$
Therefore, reading of ammeter $C$
$=2 \times 0.5=1.0 A$
Hence, reading of ammeter $A$
$=(0.5+1.0) A =1.5 A$
Let the total resistance of the circuit be $R$.
Therefore, $\quad R =2+ R _{ p },$ where
$\frac{1}{ R _{ P }}=\frac{1}{3}+\frac{1}{6}=\frac{1}{2}$ or $R _{ P }=2\,ohm.$
Therefore, $\quad R =2+2=4 ohm .$
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