Capacitor in parallel with resistor

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SUMMARY

The discussion centers on a circuit comprising an effective resistor in parallel with an effective capacitor, where each effective component consists of two capacitors or resistors in series. Initially, when the capacitors are uncharged, all current flows through the capacitors, resulting in a zero voltage drop across them. This leads to confusion regarding the application of Kirchhoff's law, which states that the total voltage drop should equal the battery voltage of 24V, while the analysis suggests a voltage of 0V across the components. The inconsistency arises from the initial conditions of the circuit and the behavior of capacitors and resistors in parallel.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law
  • Basic knowledge of capacitor and resistor behavior in circuits
  • Familiarity with series and parallel circuit configurations
  • Concept of voltage drop across circuit components
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  • Study the behavior of capacitors in parallel with resistors
  • Learn about transient analysis in RC circuits
  • Explore Kirchhoff's laws in more complex circuits
  • Investigate the effects of initial conditions on circuit behavior
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Electrical engineering students, circuit designers, and anyone interested in understanding the dynamics of RC circuits and the application of Kirchhoff's laws.

galoisien
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(another problem but less differential equations-sy)


Consider a circuit where there is an effective resistor in parallel with an effective capacitor.

Each effective capacitor consists of two capacitors in series, same for the resistor.

Now, when the capacitors are uncharged, all the current is flowing through the capacitors and not through the resistors.

However, since the capacitors are uncharged, the voltage drop across them is zero. Since there is no current through the resistors, the current through them is also zero.



But the total voltage drop must be the voltage drop of the battery! Yet I seem to be getting zero!
 
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galoisien said:
(another problem but less differential equations-sy)


Consider a circuit where there is an effective resistor in parallel with an effective capacitor.

Each effective capacitor consists of two capacitors in series, same for the resistor.

Now, when the capacitors are uncharged, all the current is flowing through the capacitors and not through the resistors.

However, since the capacitors are uncharged, the voltage drop across them is zero. Since there is no current through the resistors, the current through them is also zero.



But the total voltage drop must be the voltage drop of the battery! Yet I seem to be getting zero!

Could you please describe the circuit in better detail? At first there are two caps in parallel with two resistors, but at the very end you introduce a battery? Where is the battery?
 
Sorry the battery provides a voltage E (i.e. 24V) to both the effective resistor and capacitor -- i.e. theoretically both the resistor and capacitor should have the same potential.

Kirchoff's law says it should be 24V, but other analysis says 0V. I am confused.

(also the two-resistor, two-capacitor thing was to allow an analysis of comparing the potentials of0 point between the two resistors and the point between the two capacitors).
 

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