How to know the caracteristics of this graph

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Homework Help Overview

The discussion revolves around identifying the characteristics of a graph related to electrical components, specifically focusing on whether it is linear or non-linear, time-variant or time-invariant, bilateral, voltage-controlled, current-controlled, passive, or active. The original poster presents a specific equation, v + 10i = 0, and seeks clarification on its properties.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the properties of the given equations and question the definitions of voltage-controlled and current-controlled systems. There is a mention of a specific resistor equation, v = (cos2t)i + 3, and the challenges in graphing it due to the presence of three variables.

Discussion Status

Some participants have offered guidance on how to approach graphing the equations by suggesting to hold one variable constant while plotting the others. There is an ongoing exploration of why the system may be considered current-controlled rather than voltage-controlled, indicating a productive direction in the discussion.

Contextual Notes

Participants express uncertainty regarding the definitions and implications of the terms related to the graph's characteristics. There is a lack of consensus on the properties of the equations presented, and some participants are encouraged to research the meanings of the terms involved.

electron2
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i need to determine wether its linear or non linear,time variant or time invariant,bilateral,
voltage controlled
current controlled
passive or active.

the graph is
v+10i=0

which one of them could be said
about this graph
?
 
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You must have some kind of idea about whether that voltage vs current graph has any of those properties. Tell us what you know. If you don't know what they mean, you had better look it up.
 
i have this kind of resistor.
v=(cos2t)i+3

i don't know to to draw its grapg

because there are 3 variables
and i don't know why its currect contolled
and not voltage controlled too
..
 
electron2 said:
i have this kind of resistor.
v=(cos2t)i+3

i don't know to to draw its grapg

because there are 3 variables
and i don't know why its currect contolled
and not voltage controlled too
..

When you have three variables the only way to really draw a graph is to hold one fixed and graph the relation between the other two. In this case I'd graph v versus t at fixed i, and v versus i at fixed t. To see why you would regard it as current controlled think about what a graph of i versus t and fixed v would look like. It's much easier to describe the behavior of the system as a function of time at fixed i than it is at fixed v.
 

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