RC Circuit and finding Maximum Voltage

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SUMMARY

The discussion focuses on analyzing an RC circuit with a voltage source of 200 V, a horizontal resistor R1 of 1136 ohms, a vertical resistor R2 of 568 ohms, and a capacitor C of 5.37 microfarads. The initial current through the battery after closing the switch is calculated to be 0.176056 A, while the steady-state current is 0.117371 A. The maximum voltage across the capacitor is determined to be equal to the voltage across R2, as no current flows through the capacitor in steady state, effectively blocking DC.

PREREQUISITES
  • Understanding of Ohm's Law (R = V/I)
  • Knowledge of capacitance and its relation to charge and voltage (C = Q/V)
  • Familiarity with RC circuit behavior in steady state
  • Basic circuit analysis techniques, including loop analysis
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  • Study the behavior of capacitors in DC circuits, focusing on charging and discharging processes.
  • Learn about the time constant in RC circuits and its impact on current and voltage over time.
  • Explore advanced circuit analysis techniques, such as Thevenin's and Norton's theorems.
  • Investigate the effects of varying resistor and capacitor values on circuit performance.
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Electrical engineering students, circuit designers, and anyone studying the behavior of RC circuits in both transient and steady-state conditions.

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Homework Statement



Use the value:
E = 200 V,
Horizontal resistor R1 = 1136 capital omega,
Vertical resistor R2 = 568 capital omega, and
Capacitor C = 5.37 mu or micro F,

t25p116.gif


(a) the initial current through the battery just after the switch is closed:
(b) the steady state current through the battery when the switch has been closed for a long time:
(c) the maximum voltage across the capacitor:


Homework Equations



R = V/I
C = Q/V

The Attempt at a Solution



I found a and b to be as follows (using loops)

a) 0.176056 A
b) 0.117371 A

I'm having trouble with part c)...I don't know how to relate the current i found in part a) or b) to the definition of capacitance to find the maximum voltage. Could anyone help or point me in the right direction? thanks!
 
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Your a and b look good to me. The capacitor will be charged so the voltage across it is equal to the voltage across R2. No current will flow through the capacitor (it blocks DC), so the voltage on R2 is the same as if their was no capacitor there.
 

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