1. Consider in L-R-C series circuit with L=1/2 henry, R=10 ohms, and C=0.01 Farad and an electric source of f(t) =4 sin(35+). With an initial charge of 10 coulumbs and an initial current of 0 amps. a.) Obtain an equation of motion b.) State the transient and the steady state portion of the equation of motion and determine approximately the time it takes for the transient to vanish visually.
1. Consider in L-R-C series circuit with L=1/2 henry, R=10 ohms, and C=0.01 Farad and an electric source of f(t) =4 sin(35+). With an initial charge of 10 coulumbs and an initial current of 0 amps. a.) Obtain an equation of motion b.) State the transient and the steady state portion of the equation of motion and determine approximately the time it takes for the transient to vanish visually.
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Transcribed Image Text:1. Consider in L-R-C series circuit with L=1/2 henry, R=10 ohms, and C=0.01 Farad and an electric
source of f(t) =4 sin(35t). With an initial charge of 10 coulumbs and an initial current of 0
amps.
a.) Obtain an equation of motion
b.) State the transient and the steady state portion of the equation of motion and determine
approximately the time it takes for the transient to vanish visually.
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Step 1: Determine the given data:
VIEWStep 2: a) Obtain the equation of motion:
VIEWStep 3: b) Derive the equation of charge:
VIEWStep 4: Find the value of constants:
VIEWStep 5: Determine the transient and steady state portion:
VIEWStep 6: Find the approximate time when transient part vanishes visually:
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