Parameters: R= 120 C=0.0005 V=23 R www C V (t) ( i (t) 000 L - - - - - - - --་ (voltage source WWW resistor 000 inductor capacitor n=10 L= 1 1 Lq" + Rq' + 9 = e(t) ; q(0) = 90 ; q'(0) = i(0) = io C Part 1: Set up the IVP above with the appropriate values based on your student ID number. State your initial conditions for the initial charge and current as well. Transform and solve this system using Laplace transformations. All computations should be completed by hand and all relevant and necessary work needs to be shown in detail. Write your equation for q(t) in terms of a piecewise function. Part 2: Suppose your external voltage has unlimited battery life and can supply the circuit with voltage forever, so you can leave the circuit closed indefinitely. Set up your IVP again with this new condition for the external voltage while all other conditions remain the same. Transform and solve this system using Laplace transformations. All computations should be completed by hand and all relevant and necessary work needs to be shown in detail.

Parameters: R= 120 C=0.0005 V=23 R www C V (t) ( i (t) 000 L - - - - - - - --་ (voltage source WWW resistor 000 inductor capacitor n=10 L= 1 1 Lq" + Rq' + 9 = e(t) ; q(0) = 90 ; q'(0) = i(0) = io C Part 1: Set up the IVP above with the appropriate values based on your student ID number. State your initial conditions for the initial charge and current as well. Transform and solve this system using Laplace transformations. All computations should be completed by hand and all relevant and necessary work needs to be shown in detail. Write your equation for q(t) in terms of a piecewise function. Part 2: Suppose your external voltage has unlimited battery life and can supply the circuit with voltage forever, so you can leave the circuit closed indefinitely. Set up your IVP again with this new condition for the external voltage while all other conditions remain the same. Transform and solve this system using Laplace transformations. All computations should be completed by hand and all relevant and necessary work needs to be shown in detail.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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