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define state variables, determine the required initial conditions, and use Matlab to solve for voltages Vc(t) and Vo(t). Plot the results, and verify that the numerical solution using state variable
Add the following numbers in binary using 2's complement to represent negative numbers. Use a word lenght of 6 bits (including sign) and indicate if an overflow occurs. (a) 21+11 (b) (-14)+(-3
a 10kW 220 V single phase ac motor is operating at .7 lagging power factor. Find the value of the capacitor that needs to be connected in parallel with the motor, if the power factor is to be improv
Determine the current i(t) flowing through a resistor if the cumulative charge has flowed through it up to time (t) is given by a) q(t)=3.6t mC b) q(t)=5sin(377t) uC c) q(t)=0.3[1-e^-0.4t] pC d) q(t)=
Three light bulbs are connected in series to a 100-V battery in a circuit. Each light bulb dissipates 30W, 40W, and 50W, Respectively. Find the current (I) through the light bulbs.
A jar contains one blue balls, two red balls, and three green balls. Consider the following experiment We pick on ball randomly from the jar, record the color, and put it back. We then pick a ball r
Show that there are by developing an algorithm to generate them in base R, and use algebra to show that numbers generated by your algorithm will have the digit-reversing property. Then generate exam
Determine if each of the following signals is periodic. If a signal is periodic, determine its period. a) cos (squ 3t)b)exp ( c) sin (2t) ^2 d) sin(2t^2)
Determine the trigonometric Fourier series representation for the signal f (t) = 2 -1/2< t < 1/2 0 elseware over the interval (-1,1).
a load made up of a 100 ohm resistor in series with a 20 nF capacitor is connected across a 2400V (rms), 60 Hz voltage source. Find the complex power being delivered to the load and the power factor
Derive the simplest sum-of-products expression for the function f(x1, x2, x3, x4, x5) = x1'x3'x5' + x1'x3'x4' + x1'x4x5 + x1x2'x3'x5. (hint: use the consensus property- xy + yz + x'z = xy+ x'z.)
A load with a leading power factor of .9 draws 15A (rms) and 5kW from a 60 Hz source. Find the load impedance.
A series RLC circuit is at resonance. The resistor is 3.3 kO, the capacitor is 100 pF, and the inductor is 8 mH. What is the frequency
A long, thin, nonconducting plastic rod is bent into a circular loop that has a radius a. Between the ends of the rod a short gap of length l, where l<<a, remains. A positive charge of magnitu
Determine the transfer function of the second-order (2 poles) lowpass Butterworth filter with a 3-dB cutoff frequency of 5 kHz. Design it using the Sallen-Key lowpass filter configuration,
1. Design a synchronous Mod-10 up counter from 1st principles nusing K-MAPS. Use Diagram 1(insert answer book) and also draw the final counter in your book. 2. Draw a MOD-10(5-bit) Johnson counter us
A 2-MHz carrier is modulated by a music signal that has frequency components from 20 Hz to 8 kHz. Determine the range of frequencies generated for the upper and lower sidebands of AM signal.
A crystal with a simple cubic lattice and a monoatomic basis has an atomic radius of 2.5 angstrom and an atomic weight of 5.42. Calculate its density assuming that the atoms touch each other.
Given N-type silicon sample with uniform donor doping of (a) Nd= 1018/cm3 , (b) Nd= 1019/ cm3 and (c) Nd= 106/cm3, calculate the Fermi levels at room temperature assuming full ionization for all cas
The output voltage of a voltage amplifier has been found to decrease by 20% when a load resistance of 1 k ohm is connected. What is the value of the amplifier output resistance
If a unity gain (Avo=1) buffer amplifier with 1 M ohm input resistance and 10 ohm output resistance is interposed between source and load, what do the output voltage and power levels become. For the
An amplifier operating from a single 15-V supply provides a 12-V peak to peak sine wave signal to a 1-k ohm load and draws negligible input current from the signal source. The dc current drawn from
The resistance of 8 copper wire is 0.64 W per 1000 feet and with a certain type of insulation it can safely carry 40 A without overheating. If the wire is carrying the maximum current. How much powe
Electrons are moving from left to right through a conductor at the rate of twelve billion per second. a. A current variable I1 is defined with reference direction from left to right in this same con
a circuit consists of three elements in series. a source delivers 90 watts and one of the passive elements absorbs 20 watts. how much power does the third element absorb.