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The alternating current in a circuit is ...

The alternating current in a circuit is described by the graph shown in figure. Show rms current in this graph.

Text Solution

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From graph diagram maximum current `I_1=1A` and `I_2=-2A`
`therefore` Average maximum current `I_m=sqrt((1)^2+(-2)^2)`
`therefore I_m=sqrt5A`
Now, `I_(rms)=I_m/sqrt2`
`=sqrt5/sqrt2=sqrt(5/2) =sqrt2.5` =1.58 A
`therefore I_"rms" approx` 1.6 A is shown in below graph.
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