Voltage, Current, and Time Graph with Sine Wave

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Homework Help Overview

The discussion revolves around interpreting a graph that depicts voltage and current over time, specifically in the context of a device's electrical characteristics. Participants are trying to understand the relationship between the sine wave representations of voltage and current, as well as the implications of the graph's features, such as frequency and amplitude.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion about how to read the graph, particularly regarding the relationship between voltage and current. Questions arise about the significance of the arrows on the graph and whether to use points where both voltage and current are zero for calculations. There is also discussion about the relevance of the self-inductance formula in this context.

Discussion Status

Some participants have offered insights into interpreting the graph, suggesting that the arrows indicate the respective axes for voltage and current. There is acknowledgment of the frequency derived from the period of the wave, and a few participants are exploring the idea of analyzing the graph as two separate components. However, there is no explicit consensus on the best approach to take.

Contextual Notes

Participants note that the graph includes sine waves with different amplitudes and question how to best utilize the information presented, particularly in relation to standard ohmic components and the calculation of resistance.

anomalocaris
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Homework Statement



Hello all! Basically, my professor used this graph in our lecture, but I do not really understand how to read it. The graph has three variables, so I'm guessing it is Voltage vs. Current as time increases? One question he asked was "The figure shows the voltage and current for a device. The frequency of the voltage is___" with the correct answer being 2.5 Hz.

Homework Equations



This graph makes very little sense to me, but I know that ω=2∏f
Would the self-inductance formula work here? ε=-L(ΔI/Δt)
This is the only equation I can think of that includes Volts, Amperes, and seconds.

The Attempt at a Solution



I know the sine waves are in phase with different amplitudes, but the arrows pointing in opposite directions must mean something? Should I choose the point where both the emf and the current are zero?
 

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anomalocaris said:

Homework Statement



Hello all! Basically, my professor used this graph in our lecture, but I do not really understand how to read it. The graph has three variables, so I'm guessing it is Voltage vs. Current as time increases? One question he asked was "The figure shows the voltage and current for a device. The frequency of the voltage is___" with the correct answer being 2.5 Hz.

Homework Equations



This graph makes very little sense to me, but I know that ω=2∏f
Would the self-inductance formula work here? ε=-L(ΔI/Δt)
This is the only equation I can think of that includes Volts, Amperes, and seconds.

The Attempt at a Solution



I know the sine waves are in phase with different amplitudes, but the arrows pointing in opposite directions must mean something? Should I choose the point where both the emf and the current are zero?


I think the arrows are just showing you which axis/scale applies to each graph. ie peak voltage is 2, peak current is 0.3 [I forgot to check whether they were Volts/millivolts and amps/milliamps etc.

This could be the voltage vs current values for a standard ohmic component. To find the resistance of that component you choose any point on the graph and apply R = V/I choosing a point where both V and I are 0 wouldn't help refine your answer - I would choose the peak positions.
 
anomalocaris said:

Homework Statement



Hello all! Basically, my professor used this graph in our lecture, but I do not really understand how to read it. The graph has three variables, so I'm guessing it is Voltage vs. Current as time increases? One question he asked was "The figure shows the voltage and current for a device. The frequency of the voltage is___" with the correct answer being 2.5 Hz.

Homework Equations



This graph makes very little sense to me, but I know that ω=2∏f
Would the self-inductance formula work here? ε=-L(ΔI/Δt)
This is the only equation I can think of that includes Volts, Amperes, and seconds.

The Attempt at a Solution



I know the sine waves are in phase with different amplitudes, but the arrows pointing in opposite directions must mean something? Should I choose the point where both the emf and the current are zero?

If you were only after the frequency, the graph shows the Period (time for a full cycle) is 0.4 seconds. That gives a frequency of 2.5 f = 1/T
 
yeah choose the point where both emf and the current are zero
 
Last edited:
PeterO said:
If you were only after the frequency, the graph shows the Period (time for a full cycle) is 0.4 seconds. That gives a frequency of 2.5 f = 1/T

Oh that makes so much sense! How simple! Thank you so much for breaking all of this down. So in a way I can look at this like two separate graphs/break it into components? And I guess the maximum values make more sense than using zero for other questions relating to this.

Thanks a bunch!
 

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