Finding Voltage Across A Resistor in a 1st Order RC Circuit

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SUMMARY

The discussion focuses on calculating the voltage across a resistor in a first-order RC circuit with a resistor value of 100 Ohms and a capacitor value of 100 microfarads. The initial voltage across the capacitor is 10 V before time t=0. The expression for the capacitor voltage is derived as Vc(t) = 10e^(-100t). To find the voltage across the resistor, Vr(t), participants suggest applying Kirchhoff's voltage law, which is essential for analyzing the circuit's behavior over time.

PREREQUISITES
  • Understanding of first-order RC circuits
  • Familiarity with Kirchhoff's voltage law
  • Knowledge of exponential decay functions
  • Basic circuit analysis techniques
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  • Study the application of Kirchhoff's voltage law in RC circuits
  • Learn about the time constant in RC circuits and its impact on voltage decay
  • Explore the derivation of voltage expressions in first-order circuits
  • Investigate the behavior of capacitors in transient analysis
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Students studying electrical engineering, circuit designers, and anyone looking to deepen their understanding of transient response in RC circuits.

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Homework Statement



For the RC Circuit (R = 100 Ohm, C = 100 Micro Farads, and an open switch at t=0), we know that the capacitor is charged to a voltage of 10 V prior to T=0.

Find expressions for Vc(t) and Vr(t).

Homework Equations



Vc(t) = Vi * e(-t/rc)

The Attempt at a Solution



Vc(t) = 10e^(-100t)
Vr(t) = I have no clue and believe me I have spent a lot of time on this...
 
Last edited:
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Hai, use kirchhoffs voltage law to find voltage across resistor
 

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