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The shown RLC circuit with a driven by the voltage E(t) = - resistor, a 25 0.08t² V. 100 H inductor, and a 25 -F capacitor is 23

The shown RLC circuit with a driven by the voltage E(t) = - resistor, a 25 0.08t² V. 100 H inductor, and a 25 -F capacitor is 23

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The shown RLC circuit with a driven by the voltage E(t) E = 12 - resistor, a 25 0.08t² V. 1 100 R ww с = 25 H inductor, and a F capacitor is 23 d²I dI i. Using differential operator notation, dt² dt differential equation associated with this circuit in terms of current I, differential operator D, and time t. D² I and = DI, write the
Transcribed Image Text:The shown RLC circuit with a driven by the voltage E(t) E = 12 - resistor, a 25 0.08t² V. 1 100 R ww с = 25 H inductor, and a F capacitor is 23 d²I dI i. Using differential operator notation, dt² dt differential equation associated with this circuit in terms of current I, differential operator D, and time t. D² I and = DI, write the
Expert Solution
Step 1: Writing down the given information

Given that, 

table row cell E open parentheses t close parentheses end cell equals cell 0.08 t squared V end cell row R equals cell 12 over 25 capital omega end cell row L equals cell 1 over 100 H end cell row C equals cell 25 over 23 F. end cell end table

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