2. (a) An angle-modulated signal is given by x(t) = 4 sin (2n10°t + 60 sin 2n102t) (i) Find the instantaneous frequency of the signal in Hertz. (ii) Find the frequency deviation Af in Hertz. (iii) What is the modulation index (deviation ratio) of the process?
Q: =-7 cos(2t + 40°) = 4 sin(10f + 10°) J = 7/220°, (b) I = 4/
A: Given: To find the transform of the sinusoids to the phasors as,
Q: Power/frequency (dB/rad/sample) -10 -20 -30 -40 -50 -60 -70 -80 -90 -100 -110 0 Power Spectral…
A: Given :- Graph of power frequency vs frequency .
Q: Assume the helium–neon lasers commonly used in student physics laboratories have power outputs of…
A: The given data are: P=0.51 mW=0.51×10-3 Wr=1 mm2=0.5 mm=0.0005 m Here, P and r represent the power…
Q: e passes thr
A: It is given 4 layer and velocity of each layer but on using here to find out nano correction for…
Q: A signal of 0.1 kW is transmitted in a cable. The attenuation of cable is -5 dB per km and cable…
A:
Q: r(t) - u(t) - u(t - 2A) v(t) - E Ar(t - k10A) iere 0< A< +oo is a real constant.
A: Given: x(t)=u(t)-4(t-2A)y(t)=∑k=-∞∞Ax(t-k10A)
Q: Q1) A- Two signals x1(t) and x2(t) having Fourier transforms X1(f) and X2(f)shown in figure (1) are…
A: 1. Given y(t)=x1(t)+2x2(t)cos2πfctfc=20.000 kHz From the figure, The cutoff frequency for x1(t) is…
Q: b) Use a Fourier transform table and properties of the Fourier transform to find the ourier…
A: The Fourier transform of a function x(t) is defined as:X(f) = ∫ x(t) * e^(-i 2πft) dtIn this case,…
Q: M radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of…
A: GivenFrequency ,f=101 MHz=101×106 HzPower,P=50000 W
Q: Obtain the wavelengths in vacuum for (a) blue light whose frequency is 6.45 x 1014 Hz, and (b)…
A: Frequency of blue light, νb= 6.45×1014 HzFrequency of orange light, νo = 4.99 × 1014 HzThe speed of…
Q: 2, The differential equation of a continuous-time LTI system are given as below: d'y(t) dy(t) +3 +2…
A:
Q: Problem 12: TV-reception antennas for VHF are constructed with cross wires supported at their…
A: Given:Length of first channel L1 = 1.96 mLength of first channel L2 = 0.753 mFind : (a) Frequency…
Q: Q3) (a) Write the general solution to the wave equation in vector form using the Polarization…
A: Consider Maxwell's 3rd equation ∇→×E→=-∂B∂t∇→×E→=-μ∂H∂tWe have equation of wave;E→=E0y j^ + E0zk^ ·…
Q: 3. TV-reception antennas for VHF are constructed with cross wires supported at their centers, as…
A: Given that, The length of wire 1 is L1=2.57 mThe length of wire 2 is L2=0.706 m
Q: Find the fourier transform -2²/92 of I
A:
Q: 4) By using the Fourier transform method Fourier Series solve the PDES ou t
A: Solution:e -iωx e -k ω2t will solve the heat equation ut=k uxx sou(x, t) = ∫-∞∞c(ω)e -iωx e -k ω2t…
Q: i) Write the uses of optical fibre.
A: To determine: (i) The uses of optical fibre
Q: FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of…
A:
Q: 3 A Group of Waves Consider the composition of three waves, yo, Y1, and y2 given by y0 = A sin (kæ –…
A: Given, y0=Asin(kx-ωt)y1=A2sink-∆k2x-ω-∆ω2ty2=A2sink+∆k2x-ω+∆ω2t
Q: People used to check if train was coming by putting their ear on the railway. Why do they use this…
A:
Q: A 55-kW radio station broadcasts its signal uniformly in all directions. (a) What is the average…
A: Intensity is given by I=P/4πr²
Q: The maximum frequency deviation for the FM signal v(t)-5 cos(6000t+ 10sin2200t) is 1750 Hz 750 Hz…
A:
Q: Q4: a) An AM signal s(t)=100[1+m(t)]Cos(wet) is generated by using a two tone information signal…
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve last two sub…
Q: Ex. 947. Given x(t) =10 volts on the interval t=[50,100] milliseconds and x (t)=0 elsewhere. where f…
A:
Q: A satellite transponder has a gain of 45 dB. The receiving and transmitting antenna has a gain of 20…
A:
Q: ,6. Let h be a given number in the interval (0, T). Find the Fourier cosine series of the function…
A:
Q: Assume the helium-neon lasers commonly used in student physics laboratories have power outputs of…
A: Given that the the power of laser beam and radius of a circular spot then we have to determine the…
Q: FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of…
A:
Q: The power output of a certain public address speaker is 6.8 W. Suppose it broadcasts equally in all…
A:
Q: For the signal x(t) = 10 Cos (6007t t) %3D Q2) Find: a. Frequency, angular Frequency, period and…
A: Given, Signal, x(t)=10cos600πt x(t)=Acos2πft
Q: Q.1] A channel consists of six parallel Gaussian channels with the noise levels N=(8, 12, 14, 10,…
A: Q.1]
Q: 2. Find the Fourier component of the saw tooth. Consider f(x) = 2x 0≤x≤a a a a
A:
Q: FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of…
A:
Q: The intensity of light decreases as the inverse square of the distance from the source. Does this…
A:
Q: The intensity I of light from an isotropic point source is determined as a function of distance r…
A: The given values are listed below. Is=223 W/m2rs-2=9.8 m-2
Q: Light waves travel in a vacuum at a speed of 300,000 km/s. (a) The frequency of the longest visible…
A: Given values: Speed of light in vacuum, c=3×108 m/s The frequency of red light, fred=4×108 MHz…
Q: * the length of an open pipe ougan il 33.3 cm then the fecegueney of fifth oualond uill ba Vound…
A: To find- Frequency of 5th overtone Given- The pipe is open at both ends. Resonating length (l)=33.3…
Step by step
Solved in 2 steps
- FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of 50,000 W. (a) What is the wavelength of the radio waves produced by this station? (b) Estimate the average intensity of the wave at a distance of 54.6 km from the radio transmitting antenna. Assume for the purpose of this estimate that the antenna radiates equally in all directions, so that the intensity is constant over a hemisphere centered on the antenna. (c) Estimate the amplitude of the electric field at this distance.Write two factors which justify the need of modulating a low frequency signal into high frequencies before transmission.Ex. 955. Given a zero-centered delta function of area 71 volt-seconds. Evaluate the Fourier transform at f=7.0000 Hz. X bar (f) is a complex function: amplitude X(f) and angle part. ans:2
- Let Ap be the difference between the phase shift a Helium-Neon laser beam expe- riences on traversing a given length of vacuum and on traversing the same length of plasma. What is Ad when the laser beam passes through 10 cm of plasma having a density of n = 102? m?? How could this be used as a density diagnostic? The wavelength of the He-Ne laser radiation is 632.8 nmAn infrared lamp has a wavelengh of 1230 nm. Solve for the frequency of the lamp if the speed of light is 3X108m/s. ans: 2.44X1014 Hz A UV light has a frequency of 8X1014Hz. solve for the wavelengh of the lamp if the speed of light is 3X108m/s. ans: 375nm Show Work2- If the function describing the change in the electric field and magnetic field in a non-conducting medium is given by: E= E, cos (@t-kz) i , H= H, cos (@t-kz) j Use Maxwell's equation derived from Faraday's law to find the transverse impedance n and then find the impedance if the wave propagates in a vacuum.
- A rocket ship floating in empty space suddenly turns on its engines and begins to rapidly accelerate toward the earth. In the first second of the acceleration, what effect would you see in the wavelength of radio signals beamed from the spacecraft back toward the earth? a) The wavelength would suddenly become shorter because the ship is now moving toward us. b) The wavelength would be unaffected because the acceleration in the first second would not yet produce a significant velocity. c) The wavelength would be longer because the transmitter is in an accelerated frame and the equivalence principle states it would slow down like a clock in a gravitational field. d) The wavelength would be shorter because the transmitter is in an accelerated frame and the equivalence principle states that it would speed up like a clock coming toward us.Q7- If an angle modulated signal s(t)=10{cos(2π10^8t)+15sin(2π10^3t)}find its maximum frequency deviation.FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of 50,000 W. (a) What is the wavelength of the radio waves produced by this station? (b) Estimate the average intensity of the wave at a distance of 36.1 km from the radio transmitting antenna. Assume for the purpose of this estimate that the antenna radiates equally in all directions, so that the intensity is constant over a hemisphere centered on the antenna. (c) Estimate the amplitude of the electric field at this distance.
- 2) The Fourier Transform of a continuous time signal x(t) which is bandlimited with maximum frequency Qm= 500n (rad/sec) is shown in below figure. x(t) is sampled with an impulse train at sampling frequency of Fs=250 H7. Draw the sampled signal's Fourier transform. Determine if it can be recovered with any of the filtering methods, low pass filtering band pass filtering, or high pass filtering. If so what should be the cutoff frequency ? X(Ω) 1 O [rad/s] -5007 500 T67. An airplane (v = 710 m-s“, T = - 54 C°) when the time between seeing above observer and hearing is 9.7 sec, find the altitude. مرتضى غني علي %3D