The time domain mathematical expression for two signals are given as v(t) = 30 sin %3D (240tt + 45°) V and i(t) = 45 sin (120nt + 60°). For both signals, determine the %3D following: (i) Peak and effective values; (ii) Its frequencies and periods;, (ii) Sketch the phasor diagram for both signals; (iv) Phase differences between these two signals. (v) If these two signals are the input of an AC system, define the power factor and state whether it is leading or lagging; (vi) Sketch and label these waveforms on the same axis; (vii) the average power (P), reactive power (Q) and apparent power (S).

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The time domain mathematical expression for two signals are given as v(t) = 30 sin
(240rt + 45°) V and i(t) = 45 sin (120t + 60°). For both signals, determine the
!!
following:
(i) Peak and effective values;
(ii) Its frequencies and periods;
(iii) Sketch the phasor diagram for both signals;
(iv) Phase differences between these two signals.
(v) If these two signals are the input of an AC system, define the power factor
and state whether it is leading or lagging;
(vi) Sketch and label these waveforms on the same axis;
(vii) the average power (P), reactive power (Q) and apparent power (S).
Transcribed Image Text:The time domain mathematical expression for two signals are given as v(t) = 30 sin (240rt + 45°) V and i(t) = 45 sin (120t + 60°). For both signals, determine the !! following: (i) Peak and effective values; (ii) Its frequencies and periods; (iii) Sketch the phasor diagram for both signals; (iv) Phase differences between these two signals. (v) If these two signals are the input of an AC system, define the power factor and state whether it is leading or lagging; (vi) Sketch and label these waveforms on the same axis; (vii) the average power (P), reactive power (Q) and apparent power (S).
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