What Is the Total Energy in an Oscillating LC Circuit?

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SUMMARY

The total energy in an oscillating LC circuit can be calculated using the formula U = Ub + Ue, where Ub is the energy stored in the capacitor and Ue is the energy stored in the inductor. In this case, with L = 25 mH and C = 7.8 x 10^-6 F, and given the initial current of 9.2 mA and charge of 3.8 x 10^-6 C, the energy can be determined. The inductance (L) and capacitance (C) are constant values that reflect the physical properties of the circuit components, irrespective of the time variable.

PREREQUISITES
  • Understanding of LC circuit fundamentals
  • Knowledge of energy storage in capacitors and inductors
  • Familiarity with the formula for total energy in oscillating circuits
  • Basic proficiency in electrical engineering concepts
NEXT STEPS
  • Calculate the energy stored in the capacitor using the formula Ub = 0.5 * C * V^2
  • Calculate the energy stored in the inductor using the formula Ue = 0.5 * L * I^2
  • Explore the effects of varying L and C on the oscillation frequency
  • Study the behavior of oscillating circuits under different initial conditions
USEFUL FOR

Electrical engineers, physics students, and anyone interested in the dynamics of oscillating circuits will benefit from this discussion.

spottedcow913
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In an oscillating LC circuit, L=25 mH and C=7.8 x10^-6 F. At time t=0 the current is 9.2 mA, the charge on the capacitor is 3.8 x 10^-6 C, and the capacitor is charging. What is the total energy in the circuit?

I know I just need to do Ub+Ue=U, but here is my question. Are L and C constant for these types of questions? Because my initial thought is that I can't use L and C because it doesn't say they are at t=0 like the other values.
 
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Yes, L and C are constant. They depend on the physical properties of the circuit devices themselves.
 

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