Help Solving Circuit Variables Problem

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    Circuit Variables
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Discussion Overview

The discussion revolves around solving a circuit variables problem involving the calculation of power based on given voltage and current functions over time. Participants seek clarification on how to approach finding extrema and maximum power, as well as addressing the context of homework help.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant asks for help with a circuit problem, indicating they are new to the forum.
  • Another participant notes that the thread may not be the appropriate venue for homework assistance.
  • A participant explains that power can be expressed as the product of current and voltage, suggesting that to find maximum power, one should take the derivative of the power function with respect to time.
  • Further clarification is provided on how to find critical points by setting the derivative to zero and considering initial conditions.
  • Another participant reiterates the process of finding the derivative of the power equation and emphasizes the importance of considering the time intervals where current is present.

Areas of Agreement / Disagreement

There is no consensus on the appropriateness of the forum for homework help, and participants express varying levels of clarity regarding the problem-solving process. The discussion remains unresolved as participants provide differing levels of guidance and clarification.

Contextual Notes

Participants mention the need to consider initial conditions and critical points, but there are no explicit definitions or assumptions outlined regarding the voltage and current functions provided in the problem.

Locha
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Hey
Can Anyone Help Me to solve in this problem the a question
the one of the time
thank you,

Best Regards
 

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This is not the proper place for homework help.
 
To solve: how does one go about getting an extrema? What does this mean?

Quick answer: since we know that power may be written as the product of the current and the voltage, you are given the two equations for v(t) and i(t). Write this out and to find the maximum power take the derivative of each side
[tex]\frac{d}{dt} P= \frac{d}{dt} \left( i(t) \cdot v(t) \right) [\tex]<br /> set this equal to zero and find the time. Note the initial conditions given in the problem statement. Take this solution for t back into the power equation to find the maximum power. This should get you started.[/tex]
 
sorry for putting it in the wrong section, am new here but can anyone try to make it more clear for me about this problem , a question?

thanks
 
you're given the voltage and the current as functions of time, the product of these two gives an expression for the power.
P = I V
Now take the derivative with respect to time, and solve for time, remember from calc, that the critical points are those for which the slope of the tangent line is zero. Once you found a time, remember that for t<0, there's no current -> no power. So this time will answer (a), now take your result for (a) and substitute it into your equation for P, to get the maximum power. For (c) then how do you find the total power delivered to any circuit element. Hint: you have enough information to find this one too. hope this helps, sincerely, x
 

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