: Circuit Analysis Consider a circuit with an input voltage, a resistor, an inductor and TWO capacitors, as shown in figure 2. For a general input voltage Vin formulate a system of 3 ODEs that describes the behaviour of voltages and the current in the circuit. Setting R = 2, C1 = 3, C2 = 4, L = 1 numerically solve the ODE system, for an input voltage Vin = 12e ??0.5t (Include a plot). Are the voltages across the two capacitors different? Explain your answer. Solve the system with an inductance that is ten times higher (include a plot). How does the behaviour change? Explain why. Include a copy of the MATLAB code used. Limit the assessment to TWO A4 sized pages, using 12pt font, and margins no smaller than 1 inch. The document should be formatted as a PDF file. The plots may go on a separate page if you run out of space. Circuit Analysis Consider a circuit with an input voltage, a resistor, and a capacitor, as shown in figure 1. Imagine that the input voltage initially has size 12 volts at t = 0. At t = 10 it drops down to a value of 5 volts, which it then maintains indefinitely. Setting R = 3 and C = 2 formulate an ODE that describes the voltage across the capacitor over time. Solve the ODE using Laplace Transforms. Include a plot of the solution. What would you expect to happen to the system behavior if you increased C? (You dont need to re-solve, just explain your answer). Limit the assessment to TWO A4 sized pages, using 12pt font, and margins no smaller than 1 inch. The document should be formatted as a PDF file. Throughout the workshop we discussed multiple types of control structures, on their own. For this assessment we will be combining while and if control structures together. Write a pseudocode (pen and paper) algorithm that solves the ODE y 0 = f(t, y) using Eulers method. Convert this algorithm into MATLAB syntax, as the function euler method . Your inputs should be the start time t0, the end time tend, the function f, an initial condition y0 and an initial step size h. If h ? f(t, y) at any point exceeds 1, your function should halve the step size h. Equally, if h?f(t, y) at any point drops below 0.01, your function should double the step size h. You should also make sure that the final solution step doesnt overshoot tend. (i.e. change h during the final step to exactly reach tend). Your MATLAB code should use the function header below, and be well-commented with a sensible layout. Include your pseudocode algorithm, as well as the MATLAB code. Also include a discussion of when the could could break, or give incorrect outputs (you DO NOT need to design your code to avoid these). Limit the assessment to TWO A4 sized pages, using 12pt font, and margins no smaller than 1 inch. The document should be formatted as a PDF file. Do you want your assignment written by the best essay experts? Then look no further. Our team of experienced writers are on standby to deliver to you a quality written paper as per your specified instructions. Order Now, and enjoy an amazing discount!!
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