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A cube is defined by 1 < x,y,z <1.2.If D=2x^2yax +3x^2y^2ay C/m^2.
a)apply gauss's law to find the total flux leaving the closed surface of the cube.
b)evaluate - *D at v the center of the cube.
c)estimate the total charge enclosed within the cube.
The current flowing through a 300-mH inductance is given by 5e(-200t). Find expressions for the voltage, power, and stored energy. Sketch the waveforms to scale for 0
Compute the Transfer Equation, The questions are for the equation: y"(t) + 6y'(t) + 34y(t) = 2x'(t) + 11x(t)
A wire has a resistance of 29.7 . It is melted down, and from the same volume of metal a new wire is made that is 4 times longer than the original wire. What is the resistance of the new wire
Design an elevator controller for a simple two-floor elevator. On the 1st floor, there is only an up button, and on the 2nd floor, there is only a down button. Within the elevator, there are two buttons: door open and door close.
Design a common-emitter BJT amplifier with a gain of -100 (well above 3dB point) and a 3dB point at 100Hz. Assume beta = 100, Ic (quiescent) = 1mA, Vcc=20V. You can omit the output capacitor, but should bypass your emitter resistor.
A device for heating a cup of water in a car connects to the car's battery, which has an emf EMF = 10.0 V and an internal resistance r_int = 0.08 \Omega. The heating element that is immersed in the cup of water is a resistive coil with resistance ..
A silicon (ni= 10^10 cm^-3) p-n junction diode has a maximum electric field of -10^6 V/cm and a depletion layer width of 1 um. The acceptor density in the p-type region is four times larger than the donor density in the n-type region.
draw a state diagram for an FSM with an input gcnt and three outputs x,y, and z. The xyz outputs generate a sequence called a Gray code in which exactly one of the three outputs changes from 0 to 1 or from 1 to 0.
Let x(t) = |cos120pit| a periodic signal. Plot x(t). What is the period and frequency of x(t). Expand x(t) in trigonometric Fourier series Hint: use the plot to find the Fourier coefficients.
The frequencies of the tones are 100 Hz, 300 Hz, and 450 Hz. The sampling rate is 1 kHz. Describe a low pass, a band pass, and a high pass filter that could be used to detect the individual tones.
The following heat engines produce power of 95,000 kW. Determine in each case the rates at which heat is absorbed from the hot reservoir and discarded to the cold reservoir. A Carnot engine operates between heat reservoirs at 750 K and 300 K.
Determine which of these properties hold or don't hold for the following discrete time systems. Justify your answers. IN each example, y(t) denotes the system output and x(t) denotes the system input.
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