Electric Circuits and Networks

7.8 QUESTIONS

1. A periodic waveform is the sum of three sinusoidal waveforms of period T, 0.5T and 0.2T, respectively. Will this periodic waveform preserve its wave-shape when differentiated and integrated?
2. What is the amplitude of v(t) = 5 sinωt – 3 cosωt and what is its phase in degrees with respect to v₁(t) = 4 sin(ωt – π/5)?
3. Is the composite waveform v(t) = 2 sinωt = 3 cos √2ωt periodic? If yes, what is its period?
4. Is the composite waveform v(t) = 2 sin200πt + 4cos(200.0001πt – 45°) periodic? If yes, what is its period and cyclic frequency?
5. The voltage across a linear load is v(t) = 100 sin(100πt – 25°) V. If the load current i(t) is found to lag v(t) by 36° and i(0)is 2 A find i(t) as a function of time.
6. What is the phase of the first derivative ...