Question: Question 2 (Parameter estimation - first-order system). Suppose that the resistance in the circuit of Figure 8.4.1(a) is 3 MS. A voltage is applied to


Question 2 (Parameter estimation - first-order system). Suppose that the resistance in the circuit of Figure 8.4.1(a) is 3 MS. A voltage is applied to the circuit and then suddenly removed at time t = 0. The voltage measured across the capacitor is given in the following table. Use the data to estimate the value of the capacitance C. Perform the calculation both by hand (as shown in class) and using the regression command in MATLAB. Time t (S) Voltage vc (V) 0 12 2 11.2 10.5 6 9.8 9.2 10 8.6 12 14 16 6.6 20 6.2 7.5 7 18 Question 2 (Parameter estimation - first-order system). Suppose that the resistance in the circuit of Figure 8.4.1(a) is 3 MS. A voltage is applied to the circuit and then suddenly removed at time t = 0. The voltage measured across the capacitor is given in the following table. Use the data to estimate the value of the capacitance C. Perform the calculation both by hand (as shown in class) and using the regression command in MATLAB. Time t (S) Voltage vc (V) 0 12 2 11.2 10.5 6 9.8 9.2 10 8.6 12 14 16 6.6 20 6.2 7.5 7 18
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