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The Energy Decay as a Function of Time in Damped Oscillations Calculator will calculate the:

- Energy Decay as a Function of Time in Damped Oscillations in RLC circuits

**Calculation parameters:** The conducting wire of circuit and material the inductor is made from are both uniform and they have the same thickness everywhere; the source supplies AC current.

The Energy Decay as a Function of Time in Damped Oscillations in RLC circuits for small values of resistance R is J [Joule] |

The Energy Decay as a Function of Time in Damped Oscillations in RLC circuits for large values of resistance R J [Joule] |

Electric energy remained in the RLC circuit calculation |
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W_{e} (t) = × eQ^{2}_{0}/2C^{-R × t/L} × cos^{2} × t + φ1/L × CW _{e} (t) = × e^{2}/2 × ^{- × /} × cos^{2} × 1/ × + W _{e} (t) = × e/^{-/} × cos^{2} × 1/ + W _{e} (t) = × e^{} × cos^{2} × + W _{e} (t) = × × cos^{2} W _{e} (t) = × × W _{e} (t) = |

Electric energy remained in the RLC circuit calculation |

W_{e} (t) = × eQ^{2}_{0}/2C^{-R × t/L} × cos^{2} √ × t + φ - (1/L × C)R/2L^{2}W _{e} (t) = × e^{2}/2 × ^{- × /} × cos^{2} √ × - (1/ × )/2 × ^{2} + W _{e} (t) = × e/^{-/} × cos^{2} √ × - (1/)/^{2} + W _{e} (t) = × e^{} × cos^{2} √ × - ()^{2} + W _{e} (t) = × × cos^{2} √ × - + W _{e} (t) = × × cos^{2} √ × + W _{e} (t) = × × cos^{2} × + W _{e} (t) = × × cos^{2} W _{e} (t) = × × W _{e} (t) = |

Energy Decay As A Function Of Time In Damped Oscillations Calculator Input Values |

Resistance of the RLC circuit (R) Ω [Ohm] |

Inductance of RLC circuit (L) H [Henry] |

Capacitance of RLC circuit (C) F [Farad] |

Maximum charge stored in the capacitor plates (Q_{0}) C [Coulomb] |

Time elapsed (t) s [second] |

Initial phase (φ) rad [radian] |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each energy decay as a function of time in damped oscillations calculation, the Energy Decay As A Function Of Time In Damped Oscillations Calculator will automatically calculate the results and update the Physics formula elements with each element of the energy decay as a function of time in damped oscillations calculation. You can then email or print this energy decay as a function of time in damped oscillations calculation as required for later use.

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W_{e} (t) = *Q*^{2}_{0}*/**2C* × e^{-R × t/L} × cos^{2} *1**/**L × C* × t + φ

W_{e} (t) = *Q*^{2}_{0}*/**2C* × e^{-R × t/L} × cos^{2} √*1**/**L × C* - (*R**/**2L*)^{2} × t + φ

The following Physics tutorials are provided within the Magnetism section of our Free Physics Tutorials. Each Magnetism tutorial includes detailed Magnetism formula and example of how to calculate and resolve specific Magnetism questions and problems. At the end of each Magnetism tutorial you will find Magnetism revision questions with a hidden answer that reveals when clicked. This allows you to learn about Magnetism and test your knowledge of Physics by answering the test questions on Magnetism.

- 16.1 - Introduction to Magnetism
- 16.2 - Magnetic Field Produced by Electric Currents
- 16.3 - Magnetic Force on a Current Carrying Wire. Ampere's Force
- 16.4 - Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force
- 16.5 - Magnetic Dipole Moment
- 16.6 - Ampere's Law
- 16.7 - Faraday's Law of Induction
- 16.8 - Lentz Law
- 16.9 - Inductance and Self-Induction
- 16.10 - Induction and Energy Transfers
- 16.11 - Induced Electric Fields
- 16.12 - RL Circuits
- 16.13 - Energy Stored in a Magnetic Field. Energy Density of a Magnetic Field. Mutual Induction
- 16.14 - Alternating Current. LC Circuits
- 16.15 - Introduction to RLC Circuits
- 16.16 - The Series RLC Circuit
- 16.17 - Power in an Alternating Circuit. Transformers
- 16.18 - Maxwell Equations

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