Consider the RLC circuit shown below, where the inital current flowing through the circuit at time...

 

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Consider the RLC circuit shown below, where the inital current flowing through the circuit at time t = 0 is Io = 5, and the initial charge on the capacitor at time t = 0) is Qo = 2. The components have values of R = 100 , L = 5 H, and C= 1 450, 500 F. (v(t)) R C I a) Write a differential equation for Q(1), the charge across the capacitor, assuming the voltage source V(t) = 0. b) Classify the differential equation c) Identify an appropriate solution technique, and solve the differential equation for Q(t). d) Use MATLAB to plot your solution for time t = 0 to 1. Solution: e) Use the MATLAB dsolve() function to solve the differential equation and plot the solution on a new figure. The results provided by dsolve() and your solution from part (b) should match. Consider the RLC circuit shown below, where the inital current flowing through the circuit at time t = 0 is Io = 5, and the initial charge on the capacitor at time t = 0) is Qo = 2. The components have values of R = 100 , L = 5 H, and C= 1 450, 500 F. (v(t)) R C I a) Write a differential equation for Q(1), the charge across the capacitor, assuming the voltage source V(t) = 0. b) Classify the differential equation c) Identify an appropriate solution technique, and solve the differential equation for Q(t). d) Use MATLAB to plot your solution for time t = 0 to 1. Solution: e) Use the MATLAB dsolve() function to solve the differential equation and plot the solution on a new figure. The results provided by dsolve() and your solution from part (b) should match.

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Explanation In this question we are asked to answer the following four questions based on the circuit given in the diagram Theoretical points Differential Equations Differential equations are equation... View the full answer