Step response of a RC circuit asking for i(t)

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SUMMARY

The discussion centers on understanding the current through a capacitor in a DC RC circuit, specifically when the voltage changes. Participants highlight that while a capacitor behaves as an open circuit under steady-state DC conditions, it allows transient current flow during voltage changes. The key equations involve the relationship between resistance (R), capacitance (C), and the charge (Q) on the capacitor, particularly focusing on the rate of change of charge (dQ/dt) when switching between different voltage sources, such as a 30V and a 12V battery.

PREREQUISITES
  • Understanding of RC circuit theory
  • Familiarity with capacitor behavior in DC circuits
  • Knowledge of transient analysis in electrical circuits
  • Basic calculus for interpreting dQ/dt
NEXT STEPS
  • Study the transient response of RC circuits using differential equations
  • Learn about the time constant (τ = RC) and its effect on current and voltage
  • Explore the concept of charge conservation in capacitors during voltage changes
  • Investigate practical applications of RC circuits in filtering and timing applications
USEFUL FOR

Electrical engineering students, educators teaching circuit theory, and anyone interested in the dynamics of RC circuits and capacitor behavior during voltage transitions.

danielerbe
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Homework Statement


In attachment


Homework Equations


i don't understand why it would be asking for the current going through the capcitor, in a dc circuit it should be an open circuit but there will be a voltage over it... after searching through lecture notes and textbook can't find anything relating to I(t) in a RC DC circuit.
could anyone point me in the direction of a recourse that will explain this to me or give me some idea about what the qestion is asking?... thanks in advance.
 

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danielerbe said:

Homework Statement


In attachment


Homework Equations


i don't understand why it would be asking for the current going through the capcitor, in a dc circuit it should be an open circuit but there will be a voltage over it... after searching through lecture notes and textbook can't find anything relating to I(t) in a RC DC circuit.
could anyone point me in the direction of a recourse that will explain this to me or give me some idea about what the qestion is asking?... thanks in advance.
When the applied voltage changes, there is a brief current that depends on the value of R and C. What is the charge in the capacitor with the 30 V battery connected? What happens to the charge when that battery is removed and the 12V battery is connected? Since there is a change in charge what is dQ/dt?

AM
 

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