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For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, and the $\text{CMOS NOR}$ gates have a threshold voltage $\left(V_{T}\right)$ of $1.5 \mathrm{~V} . v_{m}$ is a trigger pulse $\left(\tau_{\mathrm{P}} \ll R C\right)$ as shown in the figure.

 

  1. Plot $v_{A 1}$ and $v_{\mathrm{R}}$ as functions of time.
  2. Write the equation for $v_{\mathrm{R}}(t)$, for $t>0$.
  3. Find the time period of the output pulse.
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