Designing an RC Circuit for RL Equivalent Voltage vs. Time

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SUMMARY

The discussion focuses on designing an RC circuit that replicates the voltage versus time characteristics of an RL circuit. The key equations referenced are Vc(t) = Vb(1-e^(-t/RC)) for the RC circuit and i(t) = (Vb/R)(1-e^(-tR/L)) for the RL circuit. Participants emphasize the need to derive the voltage equation for the RL circuit and manipulate it to match the form of the RC circuit's voltage equation. This requires a solid understanding of circuit theory and the relationships between voltage and current in both circuit types.

PREREQUISITES
  • Understanding of RC circuit dynamics and equations
  • Familiarity with RL circuit behavior and equations
  • Knowledge of exponential functions in electrical engineering contexts
  • Basic proficiency in circuit analysis techniques
NEXT STEPS
  • Derive the voltage equation for the RL circuit to match the RC circuit format
  • Explore the impact of resistance (R) and inductance (L) on circuit response
  • Study the time constant in RC and RL circuits and their significance
  • Learn about circuit simulation tools like LTspice to visualize circuit behavior
USEFUL FOR

Electrical engineering students, circuit designers, and hobbyists interested in understanding the dynamics of RC and RL circuits and their voltage characteristics over time.

dancergirlie
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Homework Statement



Design an RC circuit that has the same Voltage vs. Time characteristics as the RL circuit shown

*See attached Diagram*

Homework Equations





The Attempt at a Solution



Not really sure how to approach this, but all i know is the equations:

RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

I really don't know how I'm supposed to use the equation for RL... am I using ohm's law? I am really confused so any help would be great!
 
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hi dancergirlie! :smile:
dancergirlie said:
*See attached Diagram*

where? :cry:
RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

now write an equation for V(t) for RL, and get that to look like the V for RC :smile:
 

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