Max Harge on a Capacitor in LC Circuits

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Homework Help Overview

The discussion revolves around an oscillating LC circuit involving a 1.2 nF capacitor and a 3.3 mH coil, with a maximum voltage of 2.6 V. The original poster seeks to determine the maximum charge on the capacitor.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the maximum charge using the equation Q=CV but encounters discrepancies in their results. They explore various methods, including energy calculations and angular frequency, but still arrive at an incorrect charge value. Some participants question whether significant figures might be affecting the results.

Discussion Status

The discussion is ongoing, with participants providing suggestions and exploring potential issues with calculations. The original poster has found success with a different calculator, indicating a possible resolution to their numerical difficulties.

Contextual Notes

There is mention of significant figures and potential calculator errors affecting the results, but no definitive resolution to the original problem has been reached.

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Homework Statement


An oscillating LC circuit consisting of a 1.2 nF capacitor and a 3.3 mH coil has a maximum voltage of 2.6 V.
(a) What is the maximum charge on the capacitor?


Homework Equations


Q=CV


The Attempt at a Solution


I tried Q=CV but this did not work I got the answer 3e-9 when I plugged in but this did not work. I have also tried doing it the long way by solving for energy using .5Li^2 = .5CV^2 then solving for i. Then I solved for w by using ω=1/(√LC) and the solved for the period by using T=2∏/ω which after you find it you can divide by 4 to get time when you can plug in time, angular frequency, and current max to the equation I(max) = -ωQ(max)sin(ωt) this gave me 3e-9 as well which is not correct. The numbers I got for I(max) = .00155692, ω=502518.9076, time=.000003126. Finally I have tried this which I found online Q=(energy of capcitance)V this gave me 1e-8 this did not work either. I double checked the numbers in my calc and they were correct I don't understand!
 
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Is it possible that you're being tripped up by required significant figures? Was your charge really 3E-9, or should it be 3.1E-9?
 
I am going to try another calulator mine seems to be off
 
LOL thanks man that worked and I checked it with a new calc.
 

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