Figure Q1b shows the voltage and current waveforms from an AC circuit. A student states that these waveforms show the output from a circuit containing only resistors in series. State clearly the error the student has made and justify your answer, describing an example of a circuit where these waveforms might arise. (i) (i) The voltage and current waveforms, v(t) and i(t), have a frequency of 60 Hz and are displaced from each other by 40 degrees. Write down the correct formulas for the voltage and current in the form; vit) = V. (sin w t + 0) and it) = 1, sin w t+o .) (iii) List the information required to draw a phasor diagram for the voltage and current waveforms and produce the phasor diagram.

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Chapter7: Alternating Current, Power Distribution, And Voltage Systems
Section: Chapter Questions
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The question is about Voltage and Current Waveforms

Figure Q1b shows the voltage and current waveforms from an AC circuit.
A student states that these waveforms show the output from a circuit
containing only resistors in series.
State clearly the error the student has made and justify your answer,
describing an example of a circuit where these waveforms might arise.
(i)
(ii)
The voltage and current waveforms, v(t) and i(t), have a frequency of 60
Hz and are displaced from each other by 40 degrees. Write down the
correct formulas for the voltage and current in the form;
v(t) = V. (sin w t + o :) and i(t) = l, sin w t+ o 2)
(ii)
List the information required to draw a phasor diagram for the voltage
and current waveforms and produce the phasor diagram.
(i)
What does a power factor of unity indicate?
(ii)
Give a typical value for the power factor for a factory containing many
induction machines. Describe one example of the grid problems that
could arise from this and give one solution.
Transcribed Image Text:Figure Q1b shows the voltage and current waveforms from an AC circuit. A student states that these waveforms show the output from a circuit containing only resistors in series. State clearly the error the student has made and justify your answer, describing an example of a circuit where these waveforms might arise. (i) (ii) The voltage and current waveforms, v(t) and i(t), have a frequency of 60 Hz and are displaced from each other by 40 degrees. Write down the correct formulas for the voltage and current in the form; v(t) = V. (sin w t + o :) and i(t) = l, sin w t+ o 2) (ii) List the information required to draw a phasor diagram for the voltage and current waveforms and produce the phasor diagram. (i) What does a power factor of unity indicate? (ii) Give a typical value for the power factor for a factory containing many induction machines. Describe one example of the grid problems that could arise from this and give one solution.
Voltage and Current Waveforms
Current (A)
0.8
Voltage(V)
0.6
0.4
0.2
-0.2
-0.4
-0.6
-0.8
-1
0.005
0.01
0.015
0.02
0.025
0.03
0.035
time(s)
Amplitude
Transcribed Image Text:Voltage and Current Waveforms Current (A) 0.8 Voltage(V) 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 0.005 0.01 0.015 0.02 0.025 0.03 0.035 time(s) Amplitude
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