Given the following phasors and the information related to the frequency of that phasor, provide the corresponding time-domain r
epresentation. (It is somewhat hard to tell the difference, but the terms on the left are the symbols for the phasor, e.g., V, while the terms in the interior provide the units, e.g., V is volts.) (a) V = 7e jπ/6 V, ω = 100 rad/s (b) V = √ 2e −j0.25 V, f = 100 Hz (c) V = 42 π/6 V, T = 10−6 s (d) I = 17 45◦ A, ω = 2π2 × 103 rad/s (e) I = 7 −π/2 A, f = 0.5 Hz
In Engineering and Physics a Phasor That is a portmanteau of phase vector, is a complex number that represents a sinusoidal function whose Amplitude (A), Angular Frequency (ω), and Initial Phase (θ) are Time-invariant.
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