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1) Let z =-1 =3j be a complex number. Sketch the number in thecomplex plan. Find the magnitude (absolute value) and argument(angle) of z (be careful of the quadrant in the complex plane ).Write z in Euler's form z =|z|eapjφ.
2) Let z =6exp j(π/3). Sketch the number in the complexplane . Find Re (z) (real part of z ) and Im (z) (imagainary partof z). Find the complex conjugate of z.
3) Generate an analogous diagram for a closed-loop controlsystem to maintain the water level in a tank that has a singleinlet valve (that can be controlled )and an unknown leak. Anexample of a closed -loop system such as this is the tank on atoilet. Identify all of the blocks of the closed -loop system andthe various sigaals in the loop such as the "Reference,"the"output," and the "Disturbances.' In a sentence or two,explain thelogic the controller might use.Explain the advantages and disadvantages of the control system described above compared to anopen-loop version of the system. Be specific to this example.
A series circuit has a resistance of 1 ohm and an inductance of 1 ohm. The voltage across the circuit has an amplitude of 15 volts and a phase shift of 30 degrees. What is the current of the circuit in frequency and time domain
Assuming dopant atoms are uniformly distributed in a silicon crystal, how far apart are these atoms when the doping concentration is a) 10l5 cm-3, b) 1018 cm-3, c) 5times1020 cm-3. Estimate the resistivity of pure silicon in Ohm-cm
1- for the linear system : Sak y(n-k) = S br x(n-r) , (series a are from k=0 to n ) & ( series b from r=0 to m) a- find H(z) b- does this equation uniquely specify the unit sample response of l.s.i system c- choose, stable and casual system ,discuss ..
Explain briefly why a capacitor can block DC voltage. How might you use this feature in a design. Explain why the impedance Zeq of a parallel RC circuit decreases as the frequency increases.
A student acquires a 50mV, 1mA (meter-A) and a 50mV , 2mA (Meter-b) d'arsonval movements and converts both the meters to measure 100v full scale individually. A potential divider consisting of 70k and30k resistors was powered using an ideal 100v D..
The characteristic equations for a D flip-flop determine that the output Q is updated to either 0 or 1 after each clock cycle. A loadable D flip-flop has one additional input Load that allows data to be stored in the flip-flop for more than a sing..
assume single pulse of ampltude (+1) transmitted through a band-limited noise free channel.The sampled output of the reciever filter is y y= [0.32 0.98 0.25] Determine a three-tap adaptive linear equalizer when the recieved power is 0.15W.
Lets assume that one electron is removed from each atom and these electrons are all removed from the penny to a distance such that the force of attraction between the positively charged penny and the removed group of electrons is 2.3 N.
Design the combinational logic circuit for an elevator controller such that the option to go up or down by only one floor is disabled. Assume that the building the elevator is in has 4 floors. Your inputs are the current floor and the next request..
1. How much noise can be tolerated in a digital system using a 5 V power supply 2.What functions does an H-bridge perform in controlling a small DC motor 3.Explain how to calculate the duty cycle of a pulse in terms of frequency and width.
a. Draw a block diagram of a closed-loop control system. b. Use the block diagram to describe how the system works. c. What is the advantage of this system over an open-loop system
A voltage v(t) = 24cos(2000t-45°)V is applied across a parallel connection of a 5-kΩ resistor and a 100-nF capacitor. Find the steady-state current i_c(t) through the capacitor and the steady-state current i_R(t) through the resistor.
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