Time domain expressions for the voltage V1(t) and V2(t) is given by V1(t) = Vm sin(10t - 130°) and V2(t) = Vm cos(10t + 10°) which is the correct statement. The anticlockwise direction of rotation of phasor may be taken as positive.
- A. V1(t) leads V2(t) by 130°
- B. V1(t) lags V2(t) by 130°
- C. V1(t) lags V2(t) by -130°
- D. V1(t) leads V2(t) by -130°
Answer: A. V1(t) leads V2(t) by 130°
Explanation: V1(t) = Vm sin(10t − 130°) = Vm cos(10t − 130° − 90°) = Vm cos(10t − 220°) = Vm cos(10t + 140°). V2(t) = Vm cos(10t + 10°). Thus, V1 leads V2 by 140° − 10° = 130°.