A capacitor of capacitance C with an initial voltage Vo is discharged through a resistor of...

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A capacitor of capacitance C with an initial voltage Vo is discharged through a resistor of resistance R by closing a switch at time t = 0. It can be shown that the voltage across the discharging capacitor at time t is given by Vc V = V exp(--) where Tc = RC is the time constant. Mary measured the variation of the voltage Vc across the discharging capacitor with the time t for the case C = 1.510-6 F, R = 2.0106 2, and Vo = 18.0 V. Here is her measurement result: t(s) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 Vc (V) 11.79 9.39 6.79 4.75 3.82 2.60 1.70 1.25 Write a Python program that uses the np.linalg method 1stsq to find the best least-square fit of In Vc = mt+k for the given data and then display the fitting result together with the theoretical prediction. Your program should output a table of the values of the fitting parameters m and k found from the fitting and their theoretical values as well as the root-mean-square of the residual of the fitting. A capacitor of capacitance C with an initial voltage Vo is discharged through a resistor of resistance R by closing a switch at time t = 0. It can be shown that the voltage across the discharging capacitor at time t is given by Vc V = V exp(--) where Tc = RC is the time constant. Mary measured the variation of the voltage Vc across the discharging capacitor with the time t for the case C = 1.510-6 F, R = 2.0106 2, and Vo = 18.0 V. Here is her measurement result: t(s) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 Vc (V) 11.79 9.39 6.79 4.75 3.82 2.60 1.70 1.25 Write a Python program that uses the np.linalg method 1stsq to find the best least-square fit of In Vc = mt+k for the given data and then display the fitting result together with the theoretical prediction. Your program should output a table of the values of the fitting parameters m and k found from the fitting and their theoretical values as well as the root-mean-square of the residual of the fitting.