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Given x1(t)=cos(t), x2(t)=sign(pt) and x3(t)=x1(t)+x2(t). (a) Determine the fundamentals periods T1and T2 of signals x1(t) and x2(t). (b) Show that x3(t) is not periodic, which requires T3=k1T1=k2T2 f
The densities of diamond and germanium are 3.52g/cm3 and 5.32g/cm3 respectively. Estimate the number of atoms per unit volume, nearest neighbor distance, and lattice constant for diamond and Ge.
A charge Q is uniformly distributed over the wall of a circular tube of radius b and height h. Determine V and E on its axis at a point outside the box.
The Power Consumption of a single-phase electric load fed from a 120 V source is represented by: P(t) = 100(1- e -t/10 ) KW where t is the unit of time in hours. Compute the energy consumed by the l
A certain 15 V dry-cell battery, completely discharged, requires a current of 100 mA for 3 hr to completely recharge. What is the energy storage capacity of the battery, assuming the voltage does no
A particular op-amp, characterized by a gain-bandwidth product of 20MHz, is operated with a closed loop gain of 100. What is the 3-db bandwidth? At what frequency the closed loop amplifier exhibits
If a transformer with N(p) and N(s) turns in its primary and secondary, respectively, is placed between the source and the resistor (primary facing voltage source, secondary facing resistor), what i
find the force between a charged circular loop of radius b and uniform charge density P l and a point charge Q located on the loop axis at a distance h from the plane of the loop. What is the
A circuit has a Thevenin equivalent circuit consisting of a voltage source of 10 V and an output resistance of 20 O. A non-ideal voltmeter is used to measure the source voltage. What will be the mea
the average telephone is used to make four calls per 8hour workday with a mean call duration of 6 min. Ten percent of the calls are long distance. what is the maximum number of telephones an end off
A 50 (ohm) lossless transmission line is terminated in a load with impedance Z= (30-j50) ohm. the wavelength is 8cm. Determine: (a) reflection coefficient (solved: 0.1 - j0.56 or 0.56 angle -79.9)
A tidal energy system has an average tidal range of 5 m and a basin area of 21.5km^2. The system is designed to generate power during both incoming and outgoing tides. The seawater density 1025kg/m^
The work function of platinum is 4.09ev what retarding potential will be required to reduce the photocurrent to zero in a photoelectric experiment with Pt electrodes if the wavelength of the inciden
A material with a bulk resistivity of p = 120 Om is to be used to manufacture a 75 kO resistor that must dissipate P = 80 W of power. The maximum allowable current density for this material is J = 1
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.)