When an RLC-circuit is connected to a constant voltage E at time t=0, the current I in the circuit can be solved from the differential equation L⋅d^2I/dt^2+R⋅dI/dt +I/C=0 Where resistance R, inductance L and capacitance C are constants. Solve the equation with the initial conditions I(0)=0 and dI/dt(0)=E/L and assuming that (R/2L)^2−1/LC<0
I(t)=

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02-12-2022
Physics

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When an RLC-circuit is connected to a constant voltage E at time t=0, the current I in the circuit can be solved from the differential equation L⋅d^2I/dt^2+R⋅dI/dt +I/C=0 Where resistance R, inductance L and capacitance C are constants. Solve the equation with the initial conditions I(0)=0 and dI/dt(0)=E/L and assuming that (R/2L)^2−1/LC<0
I(t)=

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