Student name: Q1. A single-phase inductive load with a sinusoidal voltage shown in the figure below, if the phase shift of the voltage waveform is -36°, find the following: a) The periodic time of the voltage waveform, T. b) The frequency of the wave, f. c) The angular velocity, co. d) Write the time domain of the sinusoidal waveform of the voltage signal, v(t). e) Express the sinusoidal voltage as polar, exponential and cartesian phasor domains, V. v(t) volts 240 0 -240 8 12 16 20 time (ms)

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401 5G I.
College of Technological Studies
Electrical Engineering Technology Department
Electrical Calculations
Homework 3
240
Student name:
Q1. A single-phase inductive load with a sinusoidal voltage shown in the figure below, if the phase shift
of the voltage waveform is -36°, find the following:
a) The periodic time of the voltage waveform, T.
b) The frequency of the wave, f.
c) The angular velocity, co.
d) Write the time domain of the sinusoidal waveform of the voltage signal, v(t).
e) Express the sinusoidal voltage as polar, exponential and cartesian phasor domains, V.
v(t) volts
LA
8/12 16 20
0
-240
70-292
Homework # 3
1) v(t)=80.5 sin (314t+37°) V
2) i(t)=4 cos (377 t-65%) A
[2] 1-9.2-16 A
[3] 1-27.55 240° A
[4] V=-7+j5 V
٥:٢٤
time (ms)
Q2. Transform these electrical sinusoidal waveforms into polar, exponential and rectangular forms of the
phasor domain:
x
Q2. Find the time domain of the sinusoidal waveforms represented by these electrical phasors:
[1] V -15.8 e 72⁰ v
Transcribed Image Text:401 5G I. College of Technological Studies Electrical Engineering Technology Department Electrical Calculations Homework 3 240 Student name: Q1. A single-phase inductive load with a sinusoidal voltage shown in the figure below, if the phase shift of the voltage waveform is -36°, find the following: a) The periodic time of the voltage waveform, T. b) The frequency of the wave, f. c) The angular velocity, co. d) Write the time domain of the sinusoidal waveform of the voltage signal, v(t). e) Express the sinusoidal voltage as polar, exponential and cartesian phasor domains, V. v(t) volts LA 8/12 16 20 0 -240 70-292 Homework # 3 1) v(t)=80.5 sin (314t+37°) V 2) i(t)=4 cos (377 t-65%) A [2] 1-9.2-16 A [3] 1-27.55 240° A [4] V=-7+j5 V ٥:٢٤ time (ms) Q2. Transform these electrical sinusoidal waveforms into polar, exponential and rectangular forms of the phasor domain: x Q2. Find the time domain of the sinusoidal waveforms represented by these electrical phasors: [1] V -15.8 e 72⁰ v
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