Let h(t)= (1/(R*C))*(e^(1/(R*C)))*u(t) be theimpulse of an RC circuit and x(t)= u(t) an input to thatcircuit.
1. Find X(jω) and H(jω), which are the Fourier transforms of x(t) and h(t).
2. Form the product Y(jω)=H(jω)*X(jω) the Fourier transform of the output y(t)
3. Find y(t) as the Inverse Fourier Transform of Y(jω) andgraph y(t).
4. The rise time T_r is defined as the time needed for y(t) to gofrom 10% to 90% of its final value. Find the RC product that wouldgive a rise time of 10^-6 seconds.