How do I calculate capacitance on an LC circuit?

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Homework Help Overview

The discussion revolves around calculating capacitance in an LC circuit, with specific values provided for inductance, current, charge, and energy. Participants are exploring the relationships between these quantities and seeking an appropriate equation for capacitance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find an equation for capacitance using given values but expresses confusion about how to connect the relevant equations. Some participants question the meaning of energy in oscillations and seek clarification on the expressions for energy stored in inductors and capacitors.

Discussion Status

The discussion is ongoing, with participants providing insights and asking for clarification on specific concepts. There is no explicit consensus yet, but various interpretations and equations are being explored.

Contextual Notes

Participants are discussing whether the provided equations represent maximal values or values at a specific instant. There is also uncertainty regarding the expression for energy in the context of the circuit.

jim the duke
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Homework Statement



Trying to calculate capacitance on an LC circuit

Homework Equations



L = 1.0H (solenoid inductance)
i = 3.0 Ma (current in circuit)
Q = 30μC (charge on capacitor)
E = 4.5μJ (energy in oscillations)

The Attempt at a Solution



All I'm after is an equation for capacitance that i can use with the given information
I know that V=IR and I=Q/T and C=Q/V but none of these tie in what I'm trying to achieve.
Any help would be great.
 
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Energy in oscillations means what??
 
Energy stored in the oscillations of the solenoid.
 
Which is 0.5 Li2 or something else...do u know the expression for the energy...if i am wrong.
 
Sorry you've lost me
 
I didn't get you...
 
jim the duke said:

Homework Equations



L = 1.0H (solenoid inductance)
i = 3.0 Ma (current in circuit)
Q = 30μC (charge on capacitor)
E = 4.5μJ (energy in oscillations)

Are these "Relevant Equations" for i,Q,E maximal values, or values at some particular instant of time?

Can you write the expressions for the energy stored in an inductor given the current flowing through it? How about the energy stored in a capacitor given the charge stored on it?
 
Vcap (t) = (q(t))/C
Eel = ½ CV2
EMF = Vbat – L (di(t))/dt
f = 1/(2π√LC)
 

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