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Electronics and Communication Wireless Communication Difficulty: Medium

A deterministic signal has the power spectrum given in figure. The minimum sampling rate needed to completely represent signal is One single phase wattmeter operating on 230V and 5A for 5 hours makes 1940 revolutions. Meter constant in revolutions is 400. What is the power factor of the land? CMOS has . . . . . . . . A plant transfer function is given as $$G\left( s \right) = \left( {{K_P} + \frac{{{K_I}}}{s}} \right)\left( {\frac{1}{{s\left( {s + 2} \right)}}} \right).$$ When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is Match List-I with List-II and select the correct answer using the options given below: List-I [Function in time domain f(t)] List-II [Property] a. $$\sin {\omega _0}tu\left( {t - {t_0}} \right)$$ 1. $$\frac{{{\omega _0}}}{{{s^2} + \omega _0^2}}$$ b. $$\sin {\omega _0}\left( {t - {t_0}} \right)u\left( {t - {t_0}} \right)$$ 2. $$\left\{ {\frac{{{\omega _0}}}{{{s^2} + \omega _0^2}}} \right\}{e^{ - {t_0}s}}$$ c. $$\sin {\omega _0}\left( {t - {t_0}} \right)u\left( t \right)$$ 3. $$\frac{{{e^{ - {t_0}s}}}}{{\sqrt {{s^2} + \omega _0^2} }}\sin \left( {{\omega _0}{t_0} + {{\tan }^{ - 1}}\frac{{{\omega _0}}}{s}} \right)$$ d. $$\sin {\omega _0}tu\left( t \right)$$ 4. $$ - \frac{1}{{\sqrt {{s^2} + \omega _0^2} }}\sin \left( {{\omega _0}{t_0} - {{\tan }^{ - 1}}\frac{{{\omega _0}}}{s}} \right)$$