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a3 - C=0.05 farads The voltage ≥< ≤ = 2 5 2 3 t t t E...

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ASSIGNMENT #3 Due: Aug 12, 2010 by 4:00 pm in the assignment drop box INSTRUCTIONS: The assignment is to be done in groups of 2, 3 or individually. For Question 2 and 3, submit a printout of Maple input and output stapled together with Question 1. As stated in the course outline, late assignments are NOT accepted. Learning Objectives: This assignment allows you to get further practice solving IVP using the Laplace transform. You will also get to use Maple as a tool to verify and plot your solution. ASSIGNMENT (10 marks total): 1. (8 marks) U se the Laplace transform to find charge q(t) if a series circuit contains an inductor, a resistor, and a capacitor for which L=1 h, R=9 ohms, and
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Unformatted text preview: C=0.05 farads. The voltage ≥ < ≤ = 2 , 5 2 , 3 ) ( t t t E is applied to the circuit and ) ( , ) ( = = i q . Show your work. 2. (1 mark) Use Maple to verify your answer in Question 1. (Hint: You may use diff(q(t),t,t) to enter q’’ , diff(q(t),t) to enter q’ and q(t) whenever you want to enter q. Use Heaviside(t-a) to enter piecewise function. To solve, use dsolve({ODE, initial conditions}); eg. dsolve({diff(q(t),t,t)+2*q(t)=0,q(0)=1,D(q)(0)=3}); 3. (1 mark) Plot your solution using Maple on the interval 5 ≤ ≤ t ....
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