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Electronics and Communication Microwave Communication Difficulty: Medium

A square wave is defined by \[x\left( t \right) = \left\{ \begin{gathered} A,\,0 < t < \frac{{{T_0}}}{2} \hfill \\ - A,\,\frac{{{T_0}}}{2} < t < {T_0} \hfill \\ \end{gathered} \right.\] It is periodically extended outside this interval. What is the general coefficient a n in the Fourier expansion of this wave? A digital frequency converter can be converted to DVM by addition of a suitable A unity feedback system has $$G\left( s \right) = \frac{{K\left( {2s + 1} \right)}}{{s\left( {4s + 1} \right){{\left( {s + 1} \right)}^2}}}$$ What is the value of K if the steady-state value of error is to be less than 0.1 when an input r(t) = 1 + 5t is applied? The 3-dB bandwidth of a typical second-order system with the transfer function $$\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{\omega _n^2}}{{{s^2} + 2\xi {\omega _n}s + {\omega ^2}}}$$ In a bipolar transistor biased in the forward-active region, the base current is I B = 50 µA and the collector current is I C = 2.7 mA. The value of α is: