Calculating Inductance for Resonant LC Circuit

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Homework Help Overview

The problem involves calculating the capacitance required for an LC circuit to match the resonant frequency of a mass-spring system. The mass is given as 5.0 kg, the spring constant as k = 1.54, and the inductance as 2.0 H. The original poster has calculated the resonant frequency of the mass-spring system to be 0.56 but is uncertain about the relationship between the parameters.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to use the formula C = 1/(omega^2 * L) to find the capacitance but expresses uncertainty about the inductance. Other participants clarify that the inductance is already provided in the problem statement.

Discussion Status

The discussion is ongoing, with participants clarifying the meaning of the units involved and addressing the original poster's confusion regarding the parameters. There is no explicit consensus yet, but helpful guidance has been provided regarding the inductance value.

Contextual Notes

Participants are discussing the relationship between the mass-spring system and the LC circuit, with a focus on ensuring the correct interpretation of the given values and units. The original poster's uncertainty about the inductance suggests a need for further exploration of the concepts involved.

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Homework Statement



Your professor tells you about pre-digital computer days when engineers used electric circuits to model mechanical systems. They could modify parameters of the circuit elements and see the effect on the circuit's behavior. Suppose a 5.0kg mass is connected to a spring with k = 1.54. This is then modeled by an LC circuit with 2.0H.

What should C be in order for the LC circuit to have the same resonant frequency as the mass-spring system?


I found the resonant frequency of the mass-spring system to be = 0.56.

I have solved a formula to get this :

C = 1/ (omega^2 * L)

where omega = 0.56. No I am not sure how to find the inductance. Any help.
 
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The inductance is stated in the problem: it's 2.0H. It's the capacitance that you need to find.
 
What does the H stand for in 2.0H? Is that the unit for inductance? I am not sure.
 
H stands for 'Henry'. It is the units of Inductance.
 

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