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Show that it moves in a cycloidal path, and find the drift velocity, or the velocity of the center of the rolling circle along the z axis. If the electric field is 10^4 volts/cm and the magnetic fie
Prove that the potential cannot have a minimum in an uncharged region of space. Prove therefore that a point charge cannot be in stable equilibrium under the action of electrostatic forces in an unc
The signal x(t) consists of sum of two components, x1(t) and x2(t). The signal x(t) is bandlimited to 40 kHz, and it is sampled at a rate of 100 Khz to yield the sequence x(n). It is desired to suppre
Three identical inductors are connected in series to a 240v 1000hz line, and the circuit current is .6A What is the inductance of each inductor
500W lighting is connected in parallel with an inductive load. A clamp-on ammeter reveals a total circuit current of 7A. What is the inductance of the load connected in parallel with incandesent lig
A 50 cycle ac has a maximum instantaneous value of 42.42A.It crosses the zero axis in a positive direction when time is zero. Determine a)time when current first reaches a value 30a
(a) Evaluate the line integral of H about the rectangular path P1(2,3,4) to P2(4,3,4) to P3(4,3,1) to P4(2,3,1) to P1 given H = 3z ax - 2x3 az A/m. (b) Determine the quotient of the closed line inte
y[n + 2]- y[n +1]+ 0.5y[n] = 4x[n +1]+x[n] a. Find the system's transfer function b. Find the system's impulse response c. Find its unit step response when the ICs are y[-2] = 2 and y[-1] = 1.
1. Choose a sampling rate of Fs = 40 kHz. 2. Create a vector t of 32768 time-sample points spaced according to this Fs, starting at 0 seconds. 3. Compute a vector x of 32768 samples of a 5400 Hz sinus
An analog signal contains frequencies up to 10kHz. (a) What range of sampling frequencies allows exact reconstruction of this signal from its samples. (b) Suppose that we sample this signal with a sam
Consider an NMOS transistor having kn=10mA/V2. Let thr transistor be biased at Vov= 0.5V. If a 0.05-V signal is superimposed on VGS, find the corresponding increment in collector current by evaluati
Design a circuit that will take two clocks with different pulses as an input, determine within one second the faster clock and lights an led to denote the faster clock. The led should stay on until
A synchronous motor has a per-phase voltage of 220V and a synchronous reactance of 10. (a) If it draws a total input power of 7.5kW at a torque angle of 30 deg, calculate the per-phase induced voltag
A solid conductor of circular cross section is made of a homogeneous nonmagnetic material. if the radius a = 1 mm, the conductor axis lies on the z axis, and the total current in the az axis is 20 A
consider a n ch enchancement mode mosfet with the following parameters:vtn=0.6v,w=5 um,l=0.5um,un=750 cm2/v-s,tox=0.02um,and Eox=(3.9)(8.85x10^-14)F/cm. when the transistor is biasedwith Vds=0.8v an
A 208-V,60-Hz,three phase power system consists of an ideal 208-V,Y connected, three phase generator connected through a three-phase transmission line to a Y-connected load. The transmission line ha
How to calculate capacitance from these values, Admittance(s) (2.9981e-6 + 8.3651e-14j), Terminal current(A) (5.9961e-6 + 1.673e-13j), Angular frequency(rad/s) (628.3185) and Electrical potential(v*
a.) Create two separate sampled sinusoids with a sampling frequency 7000hz. Two sinusoids frequency at 1000hz, 1900 hz. Add sinusoids together creating x(t). Set time vector between 0 and 10s. b.) W
The number of turns in the primary and secondary windings of a transformer are 80 and 20 respectively. The reluctance of the core is 64x10^3 A/Wb . The primary is connected to a voltage source, Vpri
A dc motor has an armature resistance of 0.2Ω and an armature inductance of 5 mH. It is driven by a power converter of gain, kPWM = 100 . Design a controller for the armature current loop such
In a 2-pole, three phase PMAC synchronous motor, the torque constant kT and the voltage constant kE are 0.6 in respective MKS units. The synchronous inductance, LS is 10 mH. The stator winding resis
A DC motor has the following parameters: Number of armature conductors = 60, length of rotor = 30 cm, radius of rotor = 10 cm, field flux density = 1 T, armature resistance = 1.2-ohm. Neglect the ar
The stator resistance Rs is 0.25 Ω, and the stator as well as rotor leakage inductances are negligible. All losses except in the stator and rotor resistances can also be neglected. The reflect
Determine the corner frequencies and the limiting horizontal asymptotes of a common-emitter circuit with an emitter by pass capacitor. Consider the circuit with the parameters Re=4kΩ,Rc=2k&Omeg
Design a passive fourth-order Butterworth filter with cutoff frequency of 2000 radians per second and an output resistor of 1000 ohms.