It contains a resistor, an inductor, and a capacitor in

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An RLC electrical circuit is diagrammed below.
2 ohms
0.2 farads
1 henry
It contains a resistor, an inductor, and a capacitor in series, together with a generator to supply current. If R is the resistance in ohms, L is the inductance in henrys, and C is the
capacitance in farads, the equation for the current I(t) (in amperes) is
LI"(t) + RI'(t) + e) = (E(}),
%3D
dt
where I(0) = 10, I'(0) = 0, and E(t) = 2 sin(ot) is the electromotive force (in volts) supplied by the generator. Find the value of w which will maximize the amplitude of the output.
Find the current I(t) using this value of w in the forcing function.
I(t) =
Transcribed Image Text:An RLC electrical circuit is diagrammed below. 2 ohms 0.2 farads 1 henry It contains a resistor, an inductor, and a capacitor in series, together with a generator to supply current. If R is the resistance in ohms, L is the inductance in henrys, and C is the capacitance in farads, the equation for the current I(t) (in amperes) is LI"(t) + RI'(t) + e) = (E(}), %3D dt where I(0) = 10, I'(0) = 0, and E(t) = 2 sin(ot) is the electromotive force (in volts) supplied by the generator. Find the value of w which will maximize the amplitude of the output. Find the current I(t) using this value of w in the forcing function. I(t) =
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