Solve Laplace Transform Homework: Find i(t) for t>0

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Discussion Overview

The discussion revolves around solving a homework problem involving the Laplace transform to find the current i(t) for t>0 in a circuit after a switch is opened at t=0. Participants focus on clarifying the circuit diagram in the s-domain and determining initial conditions.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant states that before the switch is opened, the current across the inductor is 6A, assuming a steady state.
  • Another participant questions the initial current i(0+) and i(0-), seeking clarification on the values obtained.
  • A participant corrects their earlier claim about i(0-) from 6A to 4A, explaining that the inductor is shorted, allowing the entire current to pass through that branch.
  • Another participant reports a different value for the current, stating it is 14A, which raises a question about the correctness of the previous calculations.
  • Participants confirm the accuracy of the second image of the circuit diagram in the s-domain.

Areas of Agreement / Disagreement

There is disagreement regarding the initial current values, with some participants asserting different values (4A vs. 14A) without reaching a consensus on which is correct.

Contextual Notes

There are indications of calculation mistakes and assumptions about the circuit's steady state prior to the switch being opened, which may affect the results. The clarity of the circuit images is also noted as a potential limitation in the discussion.

ranju
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Homework Statement


we have to solve the given circuit using laplace transform for i(t) for t>0 when switch k opened at t=0..
now all I wnated to make clear is the final circuit diagram of this in s-domain..[/B]

Homework Equations

The Attempt at a Solution


as I solved I considered the circuit to be in steady state before switch is opened so , current across inductor is 6A...[/B]
 

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Images are not clear.
 
What is i(0+) you are getting ?
 
well only the left hand portion is'nt clear.. in 1st pic.. there is 12V voltage source & in 2nd pic it is 12/s in s-domain..
i(0+)=i(0-) = 6A..
 
can you show your working for i(0-).
 
sorry actually I did a calculation mistake..i(0-) =4 A.. and I found the equivalent current of the circuit considering it in steady state before switch is opened.. so the inductor is dhorted so the whole 4 A current pass across the inductor branch..!
 
Are you sure the current will be 4 A,mine is coming 14 A.
 
you are right ..:rolleyes: ..
 
Your second image is correct.
 
  • #10
thanks and additional thanks for correcting that mistake.. :p
 
  • #11
You are welcome.
 

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