Question #201645

(a) Determine the equation for the waveform of Figure 1, given f = 60 Hz. (b) Compute current at t = 4 m


1
Expert's answer
2021-06-01T14:54:11-0400

Answer :-

question figure is not given in question but i got - figure is given below




Note- I am making graph by hand , so that i can make more clear and it cannot be possible by online graph

Given the waveform of current.



Given frequency f=60 Hz

Since from fundamental we know



now shift the waveform from 120o120^o right



Here Maximum value of current Im=2

so i(t)=2sin(wt120o)\boxed{i(t)=2sin(wt-120^o)} and w=2πf\pi f ; f=60 Hz ; w=377

so i(t)=2sin(377t120o)\boxed{i(t)=2sin(377t-120^o)}

and value of current at t=4 m

i(t)=2sin(377×4120o)i(t)=2sin(377\times 4-120^o)

=1.576 A=\boxed{-1.576 \ A}



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