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## Homework Statement

Complex current of I = (1+j) on frequency of 50 Hz. Find maximum current Im, effective current Ief, and current at time 1s, i(1)

## Homework Equations

ω=2πf

i(t)=Im*sin(ωt+ψ)A

## The Attempt at a Solution

Effective current is length of that hypotenuse on complex current, that is, graph, so Ief^2 = 1^2 + 1^2 = sqrt(2)

Maximum current is Im=Ief*sqrt(2)=sqrt(2)*sqrt(2)=2, and ω=2πf=314.ψ = arctan(1/1)=π/4 so i(t)=2*sin(314t+π/4) A.

i(1)=2*sin(314*1+π/4)? Now how should I solve this? Just take sine from it, or rearrange it somehow?