10. Consider the complex signal r(t) = (1+jv3) e(1/2)t, If the real part of (t) is written in the form A cos(wot+p), The values of A, wo and are (a) A = 4, wo 1/2, p 7/4 A coslmst (b) none of these 1 4 Ac) A=2,wo 1/2, p T/3 (d) A 1/2, wo 7/3, 1/2 (e) A = 2, wo = /3,p=1/2

10. Consider the complex signal r(t) = (1+jv3) e(1/2)t, If the real part of (t) is written in the form A cos(wot+p), The values of A, wo and are (a) A = 4, wo 1/2, p 7/4 A coslmst (b) none of these 1 4 Ac) A=2,wo 1/2, p T/3 (d) A 1/2, wo 7/3, 1/2 (e) A = 2, wo = /3,p=1/2

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Which of the following is incorrect? a)Both the frequency and phase of the FM modulated carrier signal change depending on the information signal. b)The spectrum of the angle modulated signal is similar to the spectrum of the m(t) signal, as is the spectrum of the analog modulated signal. c)The instantaneous frequency of the angle expression q(t)=2000πt+π/2.u(t-3) is fi(t)=1000+π/4.δ(t-3). d)The angle modulated signal is obtained by linearly changing the phase or frequency of the carrier with the information signal.
Communication system Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation: s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t) + T/3) + 5 sin(2000m(k. X t) + /2) Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2. Determine the fundamental frequency
If f(t) = -10V, -0.2 < t < -0.1s, f(t) = 10V, 0.1 < t < 0.2s, and f(t)=0 for all other t, evaluate F(jw) for w equal to 0 -10 pi rad/s 15 pi rad/s
An interview is held with a student about the importance of education for thirty minutes at a radio station. It was later amplitude modulated & transmitted to receivers on the school campus.The expression below describes the transmitted signal a(z) a(z)= Acos(16πz) where A=3cos(10πz) a. In an expression form, express a(z) as a sum of sinusoids & determine the frequency components of the signal a(z)b. To adequately & fully recover the signal at the receiver, determine the rate at which the signal should be sampled.c. Determine the discrete signal,a[n] that was transmitted in a reduced form & the angular frequency assuming the signal a(z) is sampled at ten Hertz.
a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation) Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
a) In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
No plagarism please! Correct and detailed answer will be Upvoted else downvoted. Thank you! Q. A fiber optic system for long transmission distances uses an SM fiber optic with αdB quenching = 0.2dB / km and coupling loss α (s) = 0.1dB / km. A laser optical source is used as a source, which works at wavelength λ = 1.55μm, has a spectral width Δλ = 0.1nm and generates optical power P (1) = 10mW. The detector used has a sensitivity of P (0) = - 20dBm and the losses in each connector are α (c) = 2dB. a) Determine the maximum transmission distance for the given system. b) If after 50km an optical amplifier would be used, with amplification G = 10dB, determine how much the maximum transmission distance would increase. c) Discuss how you can improve the transmission distance. What can you say about the impact of dispersion on this system?
A frequency modulated signal is generated by modulating the carrier signal c(t) = 40 cos(2pi fc t),with fc = 106 MHz.The phase function of the FM modulated signal is known to be phase(t) = 10 sin(12,000pi t).Determine1. the average transmitted power of the FM modulated signal u(t),2. the peak-phase deviation,3. the peak-frequency deviation,4. the bandwidth of the FM modulated signal.
For two signals, the sawtooth signal has coefficients a0=0.5, ak=1/(j2kpi), and the triangle signal has coefficients a0=0.5, ak=[(2sin(kpi/2)/j(kpi)2] * e-j2kpi/2 (j is the complex number ). What are the reasons that the second signal converges more quickly ?
In case the sound from the engine of a vehicle is modelled by the function y(t) = cos[ω(t + τ) + θ] where time delay=τ & phase=θ Determine the frequency & period of the signal u(t) whena)[ω, τ, θ] = [π/3, 1/2, π/2]b)[ω, τ, θ] = [3π/4, 1/2, π/4] N.b time should be in seconds & frequency in Hertz. c) y(t) = e-atu(t) for t≥0 & y(t) = 0 for t<0 where a>0 is a constant The function above defines the model of the decay of the vibration of a vehicle engine. i.Make a sketch of the signal y(t) & determime its fourier transform.
Consider the signal x(t) = 3/ 2 cos ( (2π/ 7) t − 4/5) + 9/11 cos (( 4π /15) t + 5π/ 6 ) . where the unit of time is s. This signal is periodic with fundamental period T0 = 105 s What would be the highest frequency in x(t) and the Nyquist rate? Would it be 1/To for the frequency, and that by 3 for the Nyquist? Thank you for your time and help.
The carrier c(t) = 100 cos(2πft) is frequency modulated (FM) by the message signal m(t) = 5 cos( 20000πt), where f.= 100MHz. The peak-frequency deviation is 20 kHz. The modulated signal is a wide-band FM.1. Determine the amplitude and frequency of all signal components that have a power level of at least 10% of the power of the unmodulated carrier component.2. From Carson's rule, determine the approximate bandwidth of the FM signal.