What is the Equation for Current as a Function of Time in a Circuit?

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SUMMARY

The discussion centers on determining the equation for current as a function of time in an electrical circuit, given the charge equation q(t) = 3t^3 – t^2. The correct approach involves taking the derivative of the charge equation with respect to time, resulting in the current equation I(t) = 9t^2 - 2t. This method is confirmed by participants, emphasizing the importance of differentiation in circuit analysis.

PREREQUISITES
  • Understanding of calculus, specifically differentiation
  • Familiarity with electrical circuit concepts
  • Knowledge of charge and current relationships in circuits
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of differentiation in calculus
  • Learn about the relationship between charge, current, and voltage in circuits
  • Explore advanced circuit analysis techniques using differential equations
  • Investigate real-world applications of current equations in electrical engineering
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Students studying electrical engineering, educators teaching circuit theory, and anyone interested in the mathematical foundations of electrical circuits.

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Homework Statement



Given an equation for charge passing through a point in a circuit versus time: q = 3t^3 – t^2. Which is the correct equation for current as a function of time?

Homework Equations


The Attempt at a Solution



Would it be: q', which would be 9t^2 - 2t

Thanks a lot,

Jason
 
Physics news on Phys.org
yeah that's right you take the derivative of q(t) with respect to t
 
Much thanks!
 

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