Calculate the energy stored in Capacitor and Inductor

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SUMMARY

The discussion focuses on calculating the energy stored in an 800mH inductor and a 20mF capacitor in a series circuit at t = 100ms, given an initial charge of 400mC. The relevant equations include U = 1/2LI^2 + 1/2Q^2/C and I = Q/(LC)^(1/2). The calculated current is 3.16A, leading to an energy value of 7.94J. However, the user expresses uncertainty about the correctness of their calculations, particularly regarding the time-dependent nature of energy storage in the circuit.

PREREQUISITES
  • Understanding of inductors and capacitors in electrical circuits
  • Familiarity with energy storage equations for inductors and capacitors
  • Knowledge of sinusoidal functions and their application in AC circuits
  • Basic circuit analysis skills, including the use of Kirchhoff's laws
NEXT STEPS
  • Study the time-dependent behavior of energy in LC circuits
  • Learn about the derivation and application of the formula U = Qo^2/2C[cos^2(wt+phi)+sin^2(wt+phi)]
  • Explore the concept of phase angle (phi) in oscillating circuits
  • Investigate the impact of varying initial conditions on energy calculations in RLC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing energy storage in inductive and capacitive components.

ckboii89
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Homework Statement


A circuit consists of an 800mH inductor, a 20mF capacitor, and a switch, all in series.The capacitor is charged with an initial charge charge of Q = 400mC, and the switch is closed at t= 0.
Calculate the energy stored in the Inductor and Capacitor at t = 100ms.

Homework Equations


U= 1/2LI^2 + 1/2Q^2/c
I=Q/(LC)^1/2

The Attempt at a Solution


I= 3.16A
U=7.94J, there is no anwser key, it is a past exam that i do not have a key for. I feel i may have done this incorrectly since its asking for at t = 100ms, and U as a function of time is a sin/cos graph...
 
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ckboii89 said:

Homework Statement


Calculate the energy stored in Capacitor and Inductor at t=100ms


Homework Equations


Qo^2/2C[cos^2(wt+phi)+sin^2(wt+phi)



The Attempt at a Solution


This is just one part of a practice exam, i just need a hint. Do i set phi to zero?
Calculated frequency,charge,ω
You haven't supplied a complete problem statement; there's no circuit or component values.
Your Relevant Equation isn't an equation.
Your Attempt at a Solution isn't an attempt at a solution; if you provide a complete problem statement and your attempt, then we will know how to help.
 

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