RC Circuits (Differential Equations)

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SUMMARY

The discussion focuses on solving for the voltage across a capacitor in an RC circuit using differential equations. The key equation presented is VC = V0(1− e−t /τ), where τ is the time constant defined as τ = RC, and V0 is the initial voltage, set at 1V. The user expresses uncertainty in starting the problem despite a solid background in Calculus, indicating a need for clarity in applying differential equations to circuit analysis.

PREREQUISITES
  • Understanding of RC circuit fundamentals
  • Familiarity with differential equations
  • Knowledge of initial conditions in circuit analysis
  • Basic calculus skills
NEXT STEPS
  • Study the derivation of the voltage equation VC = V0(1− e−t /τ)
  • Learn about time constants in RC circuits and their implications
  • Explore the Laplace transform for solving differential equations in circuits
  • Practice solving similar RC circuit problems using differential equations
USEFUL FOR

Students studying electrical engineering, particularly those focusing on circuit analysis and differential equations, as well as educators seeking to clarify concepts related to RC circuits.

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Homework Statement



Find the voltage across a capacitor in an RC Circuit, using [V]_{}[/c] (0) = 1, [V]_{}[/i] n(t)=t.

Homework Equations


dV/dt = (1/RC)(V)=(1/RC)([V]_{}[/in])


The Attempt at a Solution


New to this site: I honestly don't know where to start. Done well in Calculus. Feel DifEq is like a breed of its own..aha
 
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I know you have to use this type of an equation: VC = V0(1− e−t /τ ) where τ = RC and V0 is the initial voltage
 
anyone?
 

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