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A plane of orange light polarized with an electric field amplitude 3x10-4 V/m in the x-direction, is traveling through vacuum in the positive z-direction.(a) Write an equation describing the electric field in complex exponential form, with all known quantities expressed numerically.(b) Part of the wave enters an ideal dielectric with e = fo*er = 4 x 10-11 F/m. Calculate the wavelength, wave number, frequency, angular frequency, and velocity of this orange light within the dielectric. Assume the material to be nonmagnetic.(c) Part of the same wave enters a conductor with a conductivity of 104 S/cm. Calculate the skin depth. By how much will the electric field of this wave be attenuated in traveling through
A square metal plate is heated to 80 degrees celsius at the corner corresponding to x = y = 1. The temperature distribution in the plate is described by T = 80e^(-(x-1)^2)*e^(-3(y-1)^2) Obtain the surface and contour plots for the temperature.
A 100-watt motor (60% efficient) is used to raise a 100-kilogram load 5 meters into the air. If the task takes 65 seconds to complete, how heavy was the load in units of kilograms
A DSP system has a sampling frequency of 800 HZ. What is the maximum frequency of the analog signal so that the aliasing would not occur
An object in a microwave oven 25 cm in diameter and 4 cm thick is being warmed. Determine how deeply the signal penetrates if the objects εr is 12.5 and σ is 2 S/m at a frequency of 2.5 GHz. Assume that the plane wave calculations are valid.
A repeater has an input signal of 150μW and an output signal-noise ratio of 20 dB. The repeater has a gain of A and additional noise of N. What relation should the two parameters satisfy to maintain an output noise figure less than 2 dB
Using the expression relating the rate at which current changes in an inductor to the voltage produced at it, find the voltage across the inductor when a switch supplying 7.9 A to a 2.4 mH inductor is suddenly opened.
A current source of 12 cos 2000t A, a 200-ohm resistor, and a 0.2-H inductor are in parallel. Assume steady-state conditions exist. At t = 1 ms, find the power being absorbed by the (a) resistor; (b) inductor; (c) sinusoidal source.
An amplifier using balanced power supplies is known to saturate for signals extending within 1.2 V of either supply. For linear operation its gain is 500 V/V. What is the rms value of the largest undistorted sine-wave output available,
Define X and Y to be two discrete random variables whose joint probability mass function is given as follows: P(X = m, Y = n) = e^7*4^m*3^n?m / m!(n m)! , for m = 0, 1, . . . , n and n = 0, 1, 2, . . . , while P(X = m, Y = n) = 0
A student from electromechanical systems class planned to construct a transformer that will cause an actual load resistance of 48.2-ohm to appear as 116.3-ohm to an AC voltage source of 211.3 V rms.
For a particular IC-fabrication process, the transconductance parameter k'n = 50 µA/V2, and Vt = 1 V. In an application in which vGS = vDS =Vsupply = 7 V, a drain current of 0.8 mA is required of a device of minimum length of 2 µm.
Consider a signal x(t) = 10 cos(2pi*fct + 4 cos 2pi*fmt). Assume frequency modulation. The message frequency fm = 2:3 kHz. Calculate the modulation index and find the bandwidth when.
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