Finding the Inverse of a Circuit: Step-by-Step Guide for Basic Laplace Questions

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The discussion focuses on finding the inverse of a circuit when the switch moves to point 2, detaching from the battery. The original poster is confused about the inverse of the Laplace transform and how it relates to the circuit's behavior. Responses clarify that the inverse of 1/s is the unit step function, but the poster's approach to the circuit's analysis is incorrect. Participants emphasize the need for clarity on what is meant by "inverse of a circuit" and suggest focusing on the current calculation. The conversation highlights the importance of understanding Laplace transforms in circuit analysis.
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Homework Statement


I'm stuck on finding the inverse of this circuit. Can anyone please check my work, In this circuit you are suppose to find v(t) when switch moves to point 2 ( meaning deattached from battery).


Homework Equations





The Attempt at a Solution


http://postimage.org/image/z9acdes87/
 
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The inverse of 1/s is the unit step.
 
That answer doesn't explain anything about the circuit, So I did it wrong, can you please check my work
 
It would help if you tell us what you mean by the "inverse of a circuit"! In your attachment, you seem to be trying to find the inverse of the Laplace transform and lurflurf told you exactly how to do that.

As for "checking your work", you are fine up until finding the inverse of the Laplace transform [24C/(RC+2)] (1/s). That has a lot to do with finding the current, i. I don't know what you mean by "has to do with the circuit". What more are you trying to find?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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