Transient analysis (RC) question problem

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Discussion Overview

The discussion revolves around a transient analysis problem involving an RC circuit. Participants explore the calculation of equivalent resistance and the behavior of the circuit at different time intervals, specifically before and after a switch is opened at 1 ms.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the calculation of the equivalent resistance as 5/6 kΩ, suggesting it should be 25 kΩ instead.
  • Another participant clarifies that the circuit behaves differently before and after 1 ms due to the switch being opened, affecting the resistors connected to the capacitor.
  • A participant seeks clarification on why the voltage source is considered "dead" at t=0, referencing the unit step function.
  • There is a discussion about the voltage equation v(t)=25.e^-2000t for the time interval 0
  • One participant expresses gratitude for the assistance received, indicating the helpfulness of the responses.
  • A request is made for additional resources, specifically PDF files on transient analysis.

Areas of Agreement / Disagreement

Participants express differing views on the calculation of equivalent resistance and the behavior of the circuit at different times. The discussion remains unresolved regarding the correct value of the equivalent resistance and the implications of the voltage source's status at t=0.

Contextual Notes

There are unresolved assumptions regarding the definitions of the components and the conditions under which the equivalent resistance is calculated. The discussion also highlights the dependence on the timing of the switch operation and the behavior of the circuit elements.

Who May Find This Useful

Individuals interested in transient analysis, RC circuits, and circuit behavior over time may find this discussion relevant.

munna007
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hello friends...

i am having following problem in this question.

first i don't understand how they have calculated R equivalent=5/6.i think its value should be 25Kohms. will it be different at 1ms and 4ms or same ?\\

i shall be thanks to u .
in one picture is the problem n in other is solution itself.

manish.
 

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munna007 said:
first i don't understand how they have calculated R equivalent=5/6.i think its value should be 25Kohms. will it be different at 1ms and 4ms or same ?

Yes, it is different before 1 ms and after that, because switch is opened at 1ms. At t=0, the voltage source becomes dead (i.e., it will be short circuited) and so the capacitor sees three resistors connected in parallel to it (effectively it is 5/6 kohm). But at t=1 ms switch is opened, the capacitor thereafter sees only one resistor (25kohm) connected to it.
 
thanks for the reply sir, you have solved my problem.
why is the voltage source dead at t=0. ?i m also confused with two differet time values..

v(t)=25.e^-2000t for 0<t<1ms.

tell me something about this equation...
 
munna007 said:
why is the voltage source dead at t=0. ?
Because of the unit step function u(-t). Remember u(-t) is 1 for all t<=0 and is equal to zero for t>0.
munna007 said:
i m also confused with two different time values..

v(t)=25.e^-2000t for 0<t<1ms.

Upto t=0, the voltage source is active and at t>0, capacitor starts discharging to all three resistors (the above equation is valid), but at t=1ms switch is opened and so after that capacitor discharges only through 25kohm.
 
after seeing such a marvellous reply , it came to my mouth ,wow !


thanks friend , u have helped me a lot.:smile:
 
CAN u provied me some pdf files on study on transient analysis ?.
 

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