C: Postlab Section: Design Calculation

1. Show the state table of 4-Bit synchronous binary counters.

2. Derive the transition table for JK flip-flop.

3. Derive the logic equation using Karnaugh Map.

4. Draw the corresponding logic circuit.

5. Draw the timing diagram for the circuit.

6. By observation on the 3-bit and 4-bit counter circuit, you should see a pattern. Apply the pattern to construct a 5-bit counter without going through the 5 steps above.

An unbalanced wye connected wye connected load of three phase resistances with Ra=60 ohms, Rb=40 ohms and Rc=80 ohms is connected to a 440V, negative sequence, balanced 3 phase, 3 wire supply. Calculate the complex power using the method of symmetrical components.

Please show all steps and clearly show all answers.

Consider the differential equation y′′(t)+15y′(t)+56y(t)=−210exp(-1t),
with initial conditions y(0)=−14, and y′(0)=72.

A)Find the Laplace transform of the solution Y(s). Write the solution as a single fraction in s.

Y(s)= ______________

B) Find the partial fraction decomposition of Y(s). Enter all factors as first order terms in s, that is, all terms should be of the form (c/(s-p)), where c is a constant and the root p is a constant. Both c and p may be complex.

Y(s)= ____ + ______ +______

C) Find the inverse transform of Y(s). The solution must consist of all real terms.

L−1{Y(s)} = _______________________

Coin toss experiment

In this experiment, determine the number of heads and tails after flipping a coin for 1000 times. Use two different methods to find number of heads and tails:

• Use for loops.

• Use vectors in MATLAB.

  Repeat this experiment to find running average of flipping a coin for 200 and 2000 times. Plot the running average for two experiments using subplot functions.

A   three-phase,   460-V,   60-Hz,   six-pole   Y-connected   induction   motor   has   Rs = 0.32 Ω, R′ r = 0.18 Ω, Xs = 1.04 Ω, X′ r = 1.6 Ω,   and   Xm = 18.8 Ω.   The   no-load   loss,   Pno load,   is   negligible.   The   load   torque,   which   is   proportional   to   speed   squared,   is   180 N#m   at   1180   rpm.   If   the   motor   speed   is   850   rpm,   determine   (a)   the   load   torque   demand   TL; (b)   the   rotor   current   I′ r; (c)   the   stator   supply   voltage   Va; (d)   the   motor   input   current   Ii ; (e)   the   motor   input   power   Pi; (f)   the   slip   for   maximum   current   sa; (g)   the   maximum   rotor   current   Ir1max2; (h)   the   speed   at   maximum   rotor   current   ωa;   and   (i)   the   torque   at   the   maximum   current   Ta.

A carrier signal of (500 kHz) is amplitude modulated to a depth of 75% by a single tone modulating signal of 18 KHz. The carrier amplitude is 800 Volts , and the antenna equivalent impedance is 70 Ohms. Calculate:

1- modulating wave voltage (Am) [volt]

2- The carrier power (Pc) [Watt]

3- The average output Power (Pt) [watt]

4- The percentage transmission efficiency [%]

5- The lower side band power (PLSB)

Design a RAM circuit such that using two 64x16b RAM chips constructs a

128x16b effective size memory circuit. Use the MSB of the address lines as the enable line.

(Note: you will need to determine the number of address lines needed.)

Why in a metal parallel-plate waveguide does TM0 exist and TE0 does not? Or is it the other way around?

Create a 1Mhz sine wave output without any crystal oscillator in Multisim. This will be used in AM transmitter.

A 3-phase 208V line-to-line), 4 pole 1746rpm induction motor is taking 45kVA at 0.9 power factor. The total developed torque is 2000N-m and the rotational losses are 1.5kW. Determine the following: a) The rotor copper losses b) The overall efficiency c) The stator winding resistance (per-phase)

QUESTION 5:

A) Given that V_an = 230  ̶ 10^o for positive sequence voltage Y connection load, Find the phase voltages and line voltages then draw a phasor diagram to show all voltages.

B) Consider a 300 kVA single phase load with pf = 0.85 lagging and it is required to correct the pf to 0.90 leading, Find the reactive power (Qc) added after using the parallel capacitors and the value of capacitor added if V = 380 kV and f = 50 Hz.

what are the components of the reactive power compensation with description and figures?

• Explain why light is trapped in an optical fiber.
• Describe at least two cases where you have observed the effects of light refraction besides the case of a swimming pool.
• Why the fabrication of optical fiber is a very delicate process?
• What do you understand is the "Dispersion" effect in communication fibers