Problem 2The noise voltage in an electric circuit is modeled as a Gaussian random variable X with a meanequal to zero (m = 0) and a variance equal to 108 (σ² = 10-8).a. What is the probability that the value of the noise exceeds 10-4? P(X > 10-4) = ?b. What is the probability that the noise value is between -2 × 10-4 and 10-4?P(-2 × 10 4 x < 10-4) = ?

Given information:μ (mean) = 0σ2 (variance) = 10-8 (0.00000001)X = Gaussian random variable for the…

Answered: Problem 2 The noise voltage in an…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Problem 2 The noise voltage in an electric circuit is modeled as a Gaussian random variable X with a mean equal to zero (m = 0) and a variance equal to 10-8 (0² = 10-8). a. What is the probability that the value of the noise exceeds 10-4? P(X > 10-4) = ? b. What is the probability that the noise value is between -2 × 10-4 and 10-4? P(−2 × 10-4 < x < 10¯4) = ?
Q1. A 1.4 MHz carrier is modulated by a music signal that has frequency components from 20 Hz to 15 kHz. Determine the range of frequencies generated for the upper and lower sidebands. Q2. A carrier with an RMS voltage of 2V and a frequency of 1.5 MHz is modulated by a sine wave with a frequency of 500 Hz and amplitude of 1 Vrms. Write the equation for the resulting signal in its basic and extended form.
Plot two cycles of a 25 Hz sine signal, starting at time zero, labeling the time axis at all peaks and crossings of the time axis. Write an equation describing the signal of Double Side Band Amplitude Modulated with a carrier frequency of 250 Hz.
how do this
Measurements taken of a square-wave signal using a frequency-selective voltmeter (called a spectrum analyzer) show its spectrum to contain adjacent components (spectral lines) at 98 kHz and 126 kHz of amplitudes 63 mV and 49 mV, respectively. What would direct measurement of the fundamental show its frequency and amplitude to be? What is the rms value of the fundamental? What are peak-to-peak amplitude and period of the originating square wave?
Graphically, sketch the output response of the system showing all the values calculated the image: Then state the type of damped system does this represent, and what would be its time constant?
The plot in the figure below shows the magnitude frequency content of a signal. Determine the approximate frequency, in Hertz, of the largest sinusoid present in the signal given that the sampling frequency (fs) is 458 Hz. DFT (Magnitude Spectrum) of a Signal Magnitude See 140 120 100 80 60 40 20 G Answer: 916 The correct answer is: 134.7059 G G Frequency Bins 10 12 14 16 for more info on this problem.
4) The pulsed cosine signal shown in the following figure is "on" for two cycles and then "off" for a period of time equivalent to 18 cycles of the cosine wave. The signal is periodic and the frequency of the cosine wave is 200 rad/s. A 0 10 20 190 200 10 1 (ms) a) Sketch the frequency spectrum for this signal. b) How would the frequency spectrum change if the frequency of the cosine wave was doubled? c) How would the frequency spectrum change if the "off" time was halved?
a) If a DC source (frequency equal to zero) was used, what should be the ideal resistor and inductor voltages in a series RL circuit? Support your answer by providing a computation. b) If a DC source (frequency equal to zero) was used, what should be the ideal resistor and capacitor voltages in a series RC circuit? Support your answer by providing a computation.
XY=54
Consider the sinusoidal voltage v(t)=100cos(1000nt-65°)V. A. What is the maximum amplitude of the voltage? B. What is the frequency in HERTZ and in RADIANS PER SECOND? C. What is the phase angle in RADIANS and in DEGREES?
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