(Solved): Ignore the question in example 2.11, just do the sketches 5. For the RC circuit shown in Example ...

Ignore the question in example 2.11, just do the sketches

5. For the RC circuit shown in Example $$2.11$$ (Lecture $$\#2$$ ), if we use $$R=10^3?$$ and $$C=\frac{1}{?}\times 10^{?7}\mathrm{F}$$, what is the 3-dB bandwidth? Sketch magnitude spectrums of this filter and of an ideal low-pass filter with the same bandwidth. Example $$2.11$$ An RC circuit has response $$h(t)=\frac{1}{RC}{e}^{?\frac{t}{RC}}$$ for $$t?0$$. Analyze its response in frequency domain. If the input signal is $$x(t)=\cos \left(2?f_{c}t\right)$$, what happens? (For simplicity, you may consider $$RC=1$$ ).