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By using MATLAB software with detail solution solve the circuit shown in the Figure attached that consists of a resistor and a capacitor and is thus called an RC circuit. If we apply a sinusoidal voltage , called the input voltage, to the circuit as shown, then eventually the output voltage  , will be sinusoidal also, with the same frequency but with a different amplitude and shifted in time relative to the input voltage. Specifically, if oi Ai sinwt, then oo =Ao sin(wt+o) ,   The frequency response plot is a plot of Ao/Ai versus frequency. It is usually plotted on logarithmic axes.   Upper-level engineering courses explain that for the RC circuit shown, this ratio depends on and RC as follows:   where . For RC=0.1 s, obtain the log-log plot of versus  and use it to  nd the range of frequencies for which the output amplitude Ao is less than 70 percent of the input amplitude Ai.

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

Write the logic expression that represents the output of the following circuit as a function of its inputs. (Do not simplify your expression). OUT Use logic rules to simplify your expression. Show each step and state the law of logical equivalence that are applying at each step. Draw the circuit corresponding to your simplified expression.