# Electric Charge Stored in the Capacitor of a RLC Circuit in Damped Oscillations Calculator

The Electric Charge Stored in the Capacitor of a RLC Circuit in Damped Oscillations Calculator will calculate the:

1. Electric charge stored at any instant in the capacitor plates of a RLC circuit in damped oscillations

Calculator 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)012345678915202530 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
Charge stored in the capacitor at a given instant calculation The charge stored in the capacitor at a given instant is C [Coulomb] Q(t) = Q0 × e-R × t/2L × cos√1/L × C - (R/2L)2 × tQ(t) = × e- × /2 × × cos√1/ × - (/2 × )2 × Q(t) = × e-/ × cos√1/ - (/)2 × Q(t) = × e- × cos√ - 2 × RR Q(t) = × e- × cos√ - × Q(t) = × × cos√ × Q(t) = × × cos × Q(t) = × × cosQ(t) = × × Q(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]

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each electric charge stored in the capacitor of a rlc circuit in damped oscillations calculation, the Electric Charge Stored In The Capacitor Of A Rlc Circuit In Damped Oscillations Calculator will automatically calculate the results and update the Physics formula elements with each element of the electric charge stored in the capacitor of a rlc circuit in damped oscillations calculation. You can then email or print this electric charge stored in the capacitor of a rlc circuit in damped oscillations calculation as required for later use.

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## Charge stored in the capacitor at a given instant Formula and Calculation

Q(t) = Q0 × e-R × t/2L × cos1/L × C - (R/2L)2 × t

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