Answer to Question #201645 in Electricity and Magnetism for leroy

Question

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

Answer 1

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 $120^o$ right

Here Maximum value of current I_m=2

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

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

and value of current at t=4 m

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

$=\boxed{-1.576 \ A}$