(Solved): 1. Determine the Average Value of the Periodic Signal shown The average value must be expressed in ...

1. Determine the Average Value of the Periodic Signal shown The average value must be expressed in terms of \( \mathrm{V}_{p} \) and it is NOT a function of the period \( T \). Show your work Clue: The average can be obtained from a single period for which the waveform write as: \[ v(t, T)=\left\{\begin{array}{c} V_{p} \sin \left(2 \pi \frac{t}{T}\right) \text { for } t=t_{o} \text { to } t_{o}+\frac{T}{2} \\ 0 \text { for } t=t_{o}+\frac{T}{2} \text { to } t_{o}+T \end{array}\right. \] 2. Sketch the output waveform seen at the output of the 2-input CR circuit shown below. The \( \mathrm{v}(\mathrm{t}, \mathrm{T}) \) is fed trough the capacitor and a fixed \( D C \) voltage with value \( \mathrm{Vp} \) is applied to the resistor. You may assume that \( \tau \gg>T \) so that all sinusoidal components of \( \mathrm{v}(\mathrm{t}) \) pass to the output. 3. Provide values for the maximum and the minimum of \( v_{\text {out }} \)