What is the voltage in the inductor or capacitor for a short/open circuit?

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SUMMARY

The discussion centers on determining the voltage across an inductor or capacitor in a circuit during transient conditions, specifically at t=0+ and t=0-. The circuit includes a 3.2 Ω resistor, and participants emphasize the importance of understanding the current flow to calculate voltage at various points. The distinction between steady-state and transient conditions is highlighted, with a focus on finding voltages v1 and v2 at specified time intervals. The consensus is that v1 at t=0+ is assumed to be equal to v1 at t=0- under stable conditions.

PREREQUISITES
  • Understanding of mesh analysis in circuit theory
  • Familiarity with transient analysis in electrical circuits
  • Knowledge of voltage and current relationships in capacitors and inductors
  • Basic concepts of DC steady-state conditions
NEXT STEPS
  • Study the principles of transient response in RLC circuits
  • Learn how to apply Kirchhoff's laws for voltage and current in complex circuits
  • Explore the use of simulation tools like LTspice for circuit analysis
  • Investigate the effects of initial conditions on circuit behavior at t=0+
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing transient responses in electrical circuits will benefit from this discussion.

sdfanm16
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Screenshot from 2016-05-13 16-37-12.png

Homework Statement



{Moderator edit: The unlabeled resistance is given to be 3.2 Ω }

finding v1 and v2 at t=0+ and t=0- is needed

Homework Equations

The Attempt at a Solution


Screenshot from 2016-05-13 16-43-03.png

ok I've found the currents by mesh analysis but how can i get the voltage?What voltage is in the inductor or capacitor if its a short/open circuit?
Tal
 
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Now you know the current flowing, you can work out the voltage at any point or the voltage across any component. Find the voltage across the capacitor.

Say find the voltage at the RH end of the 3Ω.
Then the junction of the 1Ω Rs
Then at the 1Ω 3Ω junction. Voila.
 
sdfanm16 said:
finding v1 and v2 at t=0+ and t=0- is needed
The subject says: "dc steady state", yet t=0+ is far from steady state. So which are you wanting to find?

You seem to know that the unlabelled resistor is 3.2 Ω?
 
NascentOxygen said:
The subject says: "dc steady state", yet t=0+ is far from steady state. So which are you wanting to find?

You seem to know that the unlabelled resistor is 3.2 Ω?
yes I've forgot to wrote this. it's given.
 
My guess was that you had to find v1 at t=0- when it is stable and to find v2 at t=0+ when it is maximum.
v2 at t=0- is trivial and v1 at t =0+ I would assume is the same as at t=0- , otherwise you would need to know how + t is!
As t →0 both become more accurate.
 

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