The alternating current in a circuit is described by the graph shown in figure. Show rms current in this graph.
The alternating current in a circuit is described by the graph shown in figure. Show rms current in this graph.
From graph diagram maximum current $\mathrm{I}_{1}=1 \mathrm{~A}$ and $\mathrm{I}_{2}=-2 \mathrm{~A}$ $\therefore$ Average maximum current $\mathrm{I}_{\mathrm{m}}=\sqrt{(1)^{2}+(-2)^{2}}$
$\therefore \mathrm{I}_{\mathrm{m}}=\sqrt{5} \mathrm{~A}$
Now, $\mathrm{I}_{\mathrm{rms}}=\frac{\mathrm{I}_{\mathrm{m}}}{\sqrt{2}}$
$=\frac{\sqrt{5}}{\sqrt{2}}=\sqrt{\frac{5}{2}}=\sqrt{2.5}=1.58 \mathrm{~A}$
$\therefore \mathrm{I}_{\mathrm{rms}} \approx 1.6 \mathrm{~A}$ is shown in below graph.
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