Calculating Q for a Series LC Circuit: Where Did I Go Wrong?

In summary, the conversation discusses finding the Q value in a series LC circuit using the formula Q= 1/R^(L/C). The values given are a 1.923 Henry inductor, a 4.4uF capacitor, and a resistance of 52.5 ohms. The calculated Q value is 111.86, which is not possible. The process of finding the resonant frequency and reactance is described, and a Q value of 12.6 is obtained. It is suggested to post the math for further verification.
  • #1
Idea04
194
1
For a series LC circuit the Q I believe is Q= 1/R^(L/C). I have a 1.923 Henry inductor and a 4.4uF cap. The resistance in the inductor is 52.5 ohms. The answer I got was 111.86.
I know the circuit can't have a Q of that value. Where did I go wrong?
 
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  • #2
This looks like homework, so I'll just describe the process.

The frequency wasn't given, so I guess you mean at resonance.

The circuit resonates at ... Hz.

The reactance of the coil and capacitor at resonant frequency is ... ohms.

Q= XL / R

I get a Q of about 12.6.
 
  • #3
I thought it might be homework as well, but I'm not sure. Idea, could you please post your math so we can check it? Thanks.
 

FAQ: Calculating Q for a Series LC Circuit: Where Did I Go Wrong?

What is Q calculation and why is it important in science?

Q calculation is a mathematical method used to determine the amount of energy released or absorbed during a chemical reaction. It is important in science because it helps us understand the energetics of reactions and how they occur. It also allows us to predict and control reaction outcomes.

How do you calculate Q in a chemical reaction?

To calculate Q, you need to know the initial and final concentrations of the reactants and products, as well as their respective stoichiometric coefficients. Then, you can use the formula Q = [products]^n / [reactants]^m, where n and m are the stoichiometric coefficients of the products and reactants, respectively.

What does a positive or negative Q value indicate?

A positive Q value indicates that the reaction is exothermic, meaning that it releases energy in the form of heat. On the other hand, a negative Q value indicates an endothermic reaction, where energy is absorbed from the surroundings.

Can Q calculations be used for all types of reactions?

Yes, Q calculations can be used for all types of reactions as long as the initial and final concentrations of the reactants and products are known. However, it may be more accurate for simple reactions rather than complex ones.

How do you interpret the Q value in relation to the equilibrium constant (K)?

If Q = K, the reaction is at equilibrium and there is no net change in the concentrations of the reactants and products. If Q < K, the reaction will proceed in the forward direction to reach equilibrium. If Q > K, the reaction will proceed in the reverse direction to reach equilibrium.

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