LCR Circuit Differential Equation Question LCR circuits . An LCR circuit has an

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LCR Circuit Differential Equation Question

LCR circuits. An LCR circuit has an 80-ohm resistor, a 0.5-henry inductor, and a 1/3232-farad capacitor connected in series to a voltage source with output E(t)=90.5sin64t.

A. Find the current in the circuit assuming that I(0)=Q(0)=0

B. Identify the transient and steady-state currents

C. Graph the steady-state, transient, and total current, for t?0

Here is what I have so far:

LCR Circuit Differential Equation Question LCR circuits. An LCR circuit has an 80-ohm resistor, a 0.5-henry inductor, and a 1/3232-farad capacitor connected in series to a voltage source with output E(t)=90.5sin64t. A. Find the current in the circuit assuming that I(0)=Q(0)=0 B. Identify the transient and steady-state currents C. Graph the steady-state, transient, and total current, for t?0 Here is what I have so far:

Explanation / Answer

as from ohms V = iR

current i = V/R

i = 90.5 sin 64 t /80

i = 1.13 sin 64 t

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