a. b. 1. [10 pts] Express each of the following waveforms as a phasor. Be sure...

 

Transcribed Image Text:

a. b. 1. [10 pts] Express each of the following waveforms as a phasor. Be sure to use the conventional phasor representation. v(t) = 200 cos (300nt) V i(t) = -80 cos(120πt -30°) A i(t) = 120 cos(200nt + 30°) A C. The conventional and effective phasor relationships are summarized here: v(t) = VMAX Cos(wt + p) → Conventional Phasor: VMAX < d. v(t) = 200 cos(t -15°) V e. i(t) = 10 cos (nt - ) A a. 2. [10 pts] Write each of the following phasors as a time-domain sinusoidal waveform. Assume a frequency of 100 Hz for each. Note that these are conventional phasors. V = 100/280° v b. I 22180° A C. V = 2002(-114°) V d. V = 20z 71 6 e. I = 352(-20°) A C. 3. [20 pts] Consider the circuit shown. a. Find the output voltage, V.. b. Write the source voltage and the output voltage as functions of time. Effective Phasor: Compare the amplitude of the output voltage to the amplitude of the source voltage. Is it larger or smaller? Does this make sense? d. What is the capacitance of the capacitor and the inductance of the inductor? 15 Ω j20 Ω www m 10/0° VRMS 60 Hz VMAX √2 10 Ω -j80 n + Vo a. b. 1. [10 pts] Express each of the following waveforms as a phasor. Be sure to use the conventional phasor representation. v(t) = 200 cos (300nt) V i(t) = -80 cos(120πt -30°) A i(t) = 120 cos(200nt + 30°) A C. The conventional and effective phasor relationships are summarized here: v(t) = VMAX Cos(wt + p) → Conventional Phasor: VMAX < d. v(t) = 200 cos(t -15°) V e. i(t) = 10 cos (nt - ) A a. 2. [10 pts] Write each of the following phasors as a time-domain sinusoidal waveform. Assume a frequency of 100 Hz for each. Note that these are conventional phasors. V = 100/280° v b. I 22180° A C. V = 2002(-114°) V d. V = 20z 71 6 e. I = 352(-20°) A C. 3. [20 pts] Consider the circuit shown. a. Find the output voltage, V.. b. Write the source voltage and the output voltage as functions of time. Effective Phasor: Compare the amplitude of the output voltage to the amplitude of the source voltage. Is it larger or smaller? Does this make sense? d. What is the capacitance of the capacitor and the inductance of the inductor? 15 Ω j20 Ω www m 10/0° VRMS 60 Hz VMAX √2 10 Ω -j80 n + Vo

Answer rating: 100% (QA)

1 Express each of the following waveforms as a phasor Be sure to use the conventional phasor represe... View the full answer