- #1
Shafia Zahin
- 31
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What will be the graph of v=Vmsin(wt+theta) and v= Vmsin(wt-theta) and why?
Problem in understanding Phase Relationships
- Thread starter Shafia Zahin
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Discussion Overview
The discussion revolves around understanding phase relationships in sine wave functions, specifically comparing the graphs of v=Vmsin(wt+theta) and v=Vmsin(wt-theta). Participants explore the implications of phase differences and transformations in sine functions.
Discussion Character
- Exploratory, Technical explanation, Conceptual clarification
Main Points Raised
- One participant asks about the graphs of v=Vmsin(wt+theta) and v=Vmsin(wt-theta), seeking clarification on their characteristics.
- Another participant suggests an online calculator as a potential resource for understanding the graphs.
- Several participants assert that the graphs will represent two sine waves of equal magnitude Vm, with a phase difference of 2θ.
- There are inquiries about the values of x for which sin(x)=0 and sin(x+1)=0, along with questions regarding the effect of adding 1 to x on the graph of sin(x).
- One participant notes that adding 1 to x results in a function translation.
Areas of Agreement / Disagreement
Participants generally agree on the nature of the graphs representing the sine functions with phase differences, but there are multiple inquiries and explorations regarding the effects of transformations on the sine function, indicating some unresolved aspects of the discussion.
Contextual Notes
Some mathematical steps and assumptions regarding the phase relationships and transformations of the sine function remain unresolved, particularly in the context of the implications of adding constants to the variable x.
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- #3
Stuschreib
- 18
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For what value(s) of x does sin(x)=0 ? For what value(s) of x does sin(x+1)=0 ? What does adding 1 to x do to the graph of sin(x) ?
- #4
cnh1995
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The graphs will be two sine waves of equal magnitude Vm, with a phase difference of 2θ.Shafia Zahin said:What will be the graph of v=Vmsin(wt+theta) and v= Vmsin(wt-theta) and why?
- #5
Stuschreib
- 18
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cnh1995 said:
Don't forget the w.
- #6
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Stuschreib said:
sin(x)=0 when ##x=0## or ##x=\pi##
sin(x+1)=0 when x+1=##0## or ##x+1=\pi##
Tell us what you think adding 1 does to the graph.
- #7
Stuschreib
- 18
- 5
anorlunda said:
Function translation.
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