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An infinitely long, uniform line charge of density rho_L (C/m) is parallel to, and a distance d above the planar interface between two homogeneous dielectic media. The upper half-space (where the line charge resides) is characterized by permittivity epsilon_1, and the lower half-space has permittivity epsilon_2.Find expression(s) for the scalar electric potential V(x,y) everywhere.
The problem is 2-dimensional. Orient the line charge in the z-direction. The line charge is at (x,y)=(0,d). The upper region (1) is y>0 and the lower region is y<0.
Suppose that a voice signal normally occupies 30 kHz of bandwidth and has a signal-to-noise ratio of 20 dB. Spread-spectrum techniques are used to increase its bandwidth to 2 MHz. (a) What is the signal-to-noise ratio of the spread signal
A square wave has a max value of 22 volts, a min value of -46 volts, and a frequency of 44 Hz. Note that it is not centered around the t-axis. what is its rms voltage?
A system has a characteristic equation: q(s) = s3 + 20s2 + 5s + 100 = 0 Determine whether the system is stable using the Routh-Hurwitz criterion. Determine the roots of the characteristic equation.
A silicon abrupt junction, approximated by a step junction, has a doping of NA= 5 x1015/cm3 and ND= 1015/cm3 and a cross-sectional area (A) of 10-4cm2. Assume the depletion approximation, VA=0, and ni=1010/cm3 to: a. Calculate Vbi.
The input power to the geenrator is 100hp. When the generator is operating at rated values and unity power factor, the generator is 80% efficient. a.) Find the generator speed in rpm and rad/sec. b.) Find the mechanical torque supplied to the gener..
The ATSC broadcast television system used in the US transmits video signals at an average rate of 18.34 Mbps and employs 8-VSB modulation.
Discuss the sequence of actions that occur in the operation of the control system for a traffic light, that includes sensors in the roadbed. Indicate which actions are time-driven and which actions are event-driven
Solve the equation z^2+z+1=0 using z=(x,y) and the basic definitions. (Hint: Note that y does not equal 0 because the equation X^2+X+1 does not equal 0 for any real number x.)
The mobility of electrons in certain semiconductor is 1400 cm2/ (volt x sec). At room temperature (T=300K) calculate the diffusion length of electrons. What are the assumptions used in low-level injection of carriers
A star connected synchronous motor at 187 kVA, 3-V, 2300V, 47A, 50Hz, 187.5 rpm has an effective resistance of 1.5 ohm and a synchronous reactance of 20 ohm per phase. Determine internal power developed by the motor when it is operating at rated c..
if a circuit contains 3 automatic switches and we want that, with a probability of 95%, during a given time interval they are all working, what probability of failure per time interval can we admit for a single switch
Find the dimension of the window, as measured at the top of the oxide, after ideal isotropic etching (i.e. no overetch). Draw a cross section of the window opening with the resist still on.
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