Obtain the time domain functions, Electrical Engineering

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Let ω = 2π × 60 rad/s corresponding to a frequency of 60 Hz.

(a) Consider v(t) = 100 √2 cos(ωt + 30°) V and i(t) = 10 √2 sin(ωt + 30°) A. Find the corresponding phasors ¯V and ¯I by choosing the rms values for the phasor magnitudes.

(b) Consider the phasors ¯V and ¯I as obtained in part (a), and show how to obtain the time domain functions.

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