# Energy Decay as a Function of Time in Damped Oscillations Calculator

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

1. 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.

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)01234567891015202530 Resistance of the RLC circuit (R) Ω Inductance of RLC circuit (L) H Capacitance of RLC circuit (C) F Maximum charge stored in the capacitor plates (Q0) C Time elapsed (t) s Initial phase (φ) rad
Electric energy remained in the RLC circuit calculation 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] We (t) = Q20/2C × e-R × t/L × cos2 1/L × C × t + φWe (t) = 2/2 × × e- × / × cos2 1/ × × + We (t) = / × e-/ × cos2 1/ × + We (t) = × e × cos2 × + We (t) = × × cos2 We (t) = × × We (t) = We (t) = Q20/2C × e-R × t/L × cos2 √1/L × C - (R/2L)2 × t + φWe (t) = 2/2 × × e- × / × cos2 √1/ × - (/2 × )2 × + We (t) = / × e-/ × cos2 √1/ - (/)2 × + We (t) = × e × cos2 √ - ()2 × + We (t) = × × cos2 √ - × + We (t) = × × cos2 √ × + We (t) = × × cos2 × + We (t) = × × cos2 We (t) = × × We (t) = 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 (Q0) 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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## Electric energy remained in the RLC circuit Formula and Calculation

We (t) = Q20/2C × e-R × t/L × cos2 1/L × C × t + φ

## Electric energy remained in the RLC circuit Formula and Calculation

We (t) = Q20/2C × e-R × t/L × cos2 1/L × C - (R/2L)2 × t + φ

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