(Solved): SOLVE USING MATLAB Given is the circuit diagram of a simple RC Circuit. In the given circuit t ...

SOLVE USING MATLAB

Given is the circuit diagram of a simple RC Circuit. In the given circuit the value of capacitor ' $$C$$ ' is $$10u\mathbf{F}$$. Fig1: RC Circuit While performing an experiment the following data is obtained for the voltage $$(\mathbf{V}\mathbf{c})$$ of this capacitor at different times. Table 1: Voltage $$\mathbf{V}\mathbf{c}$$ (volt) vs Time $$\mathbf{t}(\mathbf{ms})$$ data Instantaneous capacitor current, $$I_C=C\frac{d{V}_C}{dt}$$ i) Determine the current (I ) flowing through the capacitor at each point of time given in the table using MATLAB and plot the approximated and true current (Table2) on same figure window to make a comparison. [3] ii) True value of current $$\mathbf{I}\mathbf{c}$$ at each point of time is given on the following table2. Calculate the relative percentage true error for each time instant using MATLAB. [2] iii) Fit the data-points (Table-2) using suitable Curve-Fitting Model and then determine the value of current $$I\mathbf{c}$$ at $$\mathbf{t}=4\mathbf{sec}$$ using MATLAB. Calculate the relative percentage true error for $$\mathbf{t}=4\sec$$ using MATLAB. [5]