tudes of elements #1 and #2 are +1 and the amplitudes of elements #3 and #4 are -1 (or 180 degrees out of phase with #1 and #2), find (a) the array factor in simplified form (b) all the nulls when d = N2 | %3D #2 d # 1 d/2 d/2 + #3 d # 4

Q: Given: A, B,C. Find the phasor voltage V, corresponding to the time-domain voltage r(t) =…

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Q: For the circuit in Figure 2, the angular frequency is 500 rad/s, and vg is given by: v, (t) = 40…

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Q: Select the correct answer 2. AWGN noise is characterized by... A. be a stationary stochastic process…

A: Additive White Gaussian Noise (AWGN) is a highly statistical signal that is overridden by random…

Q: Find the phase domain expressions of the following time-harmonic fields E = 7 cos (wt – 3x - -) a, –…

A: Given data: E=7cosωt-3x-π18ay-sinωt+3x+π9azH=sinθ3rcosωt-3raθJ=4e-2xsinωt-2xay+5e-xcosωt-5x

Q: Problem 2.4b: Sketch double sided and single sided amplitude and phase spectra of the following.…

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Q: 1- If the magnitude of sinusoidal waveform function= 15sin377t = 3V , then the time at this…

A: Solution: (1) Given: 15sin377t=3 Vsin377t=0.2 V377t=sin-(0.2)377t=0.2013 radt=533.95×10-6…

Q: The plot shows the magnitude of an impedance as a function of frequency. What type of component is…

A: Observe the given graph between impedance and frequency. It can be concluded that as the frequency…

Q: Problem 2: For the following frequency modulated signal Ø (t) = cos(200rt) cos(5sin2nt) + 2…

A: Solution (a)ϕ(t) = cos(200πt)cos(5sin2πt)+2sin(100πt)cos(100πt)sin(5sin(πt)) ϕ(t)…

Q: For the circuit below, Zc=-j0.8N ZL=jóN Z2=252 if i = 120°A, write the frequency domain (phasors)…

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Q: Solve for the admittance, Yab, of the circuit shown. (magnitude only)

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Q: II. FIND THE RECTANGULAR FORM OF THE FF: 4. 15ei25° 5. бе

A: Polar form is in the form of re^theta and reactangular form is rcos(theta)+jrsin(theta).

Q: sin 1000rt %3D Three signals a (t) = 3 cos 2000at, x (t) Te(t) = 55 Toward this end, the signal Ta…

A: Three signals xa(t)=3cos(2000πt) , xb(t)=sin(1000πt)πt and xc(t)=5sin(2000πt)πt are to be frequency…

Q: Rectangular Form -5+j Phasor Form Time-Domain Function 10 cos (20t + 50°) 1220°

A: We can write rectangular to polar form. Y=R+ZjThis is above equation in rectangular form.We can…

Q: For the circuit below, R1=10 kW, R2=20 kW, RC=3.3kW and C1=20 nF C2=10 nF are given. Find the…

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Q: Integrate the following time-harmonic function by using phasors and also via straightforward…

A: From the Phasor Integration

Q: Q: v1 (t) = -7 sin (1256t + 15°) V v2(t) = 12 cos (1256t - 20°) V Find the frequency and the phase…

A: We will use phasor analysis to find unknown parameters.

Q: Given that Z1 = 10 + j5 and Z = 20 – j20, reduce Z1 + Z, Z¡ – Z, ZZz, and Z¡lZz to rectangular form.

A: Given: Z1=10+j5,Z2=20-j20.

Q: An AM radio signal propagating in free space has:   E =  Eo sin(1200πt - βz)ax H= (Eo /…

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Q: Q.4 Consider the simisoidal signals: u(t) = cos(100zt -).v(t) = cos(105at +-), w(t) =cos(110xt - a)…

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Q: - In the complex plane, in a function given as F (s) = (s-2) / (s + 3), which is the value of the…

A: We will substitute Given value of S in F(S) and than we will reduce it into polar form.

Q: Find number of poles in the left, right half-plane, and on the ja-axis. R(s) E(s) 1. Cls) $(2s+3s +…

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Q: 2. Determine the Z-parameters for the network shown if Ra=10 02, Rb-2002, Rc-400, and B-5 V₁ Ra Re…

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Q: What is the directional derivative of the function f (x,y) 2xy-3y2 at point po- (5,5) in the…

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Q: s*+25s3+20s²+15s+42 G(s) s5+13s*+9s3+37s2+35s+50

A:

Q: Consider the sequence x[n] = [-3, 0, –1, {10}, 1, 0, 3], where the number in {·} corresponds to n =…

A: Given signal is -

Q: 1a. Create an array that has 12 elements of equalilly spaced numbers that starts with 8 and ends…

A: MATLAB

Q: Given: A. Simplify the following expression Z=r20 in polar form, where r20 and -180° < 0s 180°. (3 –…

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Q: An AM radio signal propagating in free space has:   E =  Eo sin(1200πt - βz)ax H= (Eo /…

A: In free space the propagation constant is purely imaginary while the intrinsic wave impedance is…

Q: (a) Let z = the following functions of z: re". Express in polar form (i.e., determine the magnitude…

A: Polar form

Q: 1. – 4.) Sketch the positive root locus of the system shown below with the following choices of…

A: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: rate AM wave Vm (t) = Vm Sin (t), the AM Bandwidth is equal to 12 KHz, alation index m = 0.5 and the…

A:

Q: 12 A three element array of isotropic sources has phase and magnitude relationships as shown in…

A:

Q: Problem 2: For the following frequency modulated signal Ø (t) = cos(200nt) cos(5sin2nt) + 2…

A:

Q: Derive the Maclaurin series for f(z)=tan^-1z

A: Given - f(z) = tan-1z

Q: (a) Given x= 3.9e4 and y = 0.63e"*, determine Re{xx y *} and Im{ xxy*}. (The angles are in radians.)…

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Q: Solve the equation using Cramer's rule (10 + j20)I, -+ j10I, = 60/30° (13.3.1 For mesh 2, j101, +…

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Q: Without using trigonometric identities, express the following in phasor form. DO NOT SIMPLIFY IT!…

A: The given expression in the question is to be solved in the phasor form. Ewe will derive the phasor…

Q: Find the phase domain expressions of the following time-harmonic fields a. E = 7 cos (wt – 3x –) a,…

A: In case of phasor representation we should avoid wt term.      All all the electric and magnetic and…

Q: If P = sin ( 5t + x -) a, and Qs = el*(a, - a,) sin(2ny), determine %3D a) the phasor form of P b)…

A: a) Phasor form of the P P=sin5t+x-π4ayconvert it into exponential form,P=imgej5t+x-π4aynow drop the…

Q: For the RL circuit given in figure 1; Consider the voltage x(t) as system input. c) If you accept…

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Q: Let the phasor definition of a scalar wave function be given as u(F;1)= Im{U(F)e™}. Accordingly…

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Q: Solve z = 17+ 17j leaving your answers in polar form. The two solutions are

A: Polar form

Q: +-A) Show that the can be written as: V. 500 + jw 500 Vi 4-B) What should be the value of w so that…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Homework, prove the above relation ↑ This is only a special case because of the sine and cosine…

A: Proof of  cos(- θ) = cos(θ) sin(-θ) = -sin(θ) i.e of even or odd signals.

Q: B. Determine the phase angles by which between vl(t) and i1(t), then draw both signals in time and…

A: Given: v1t=4sin377t+25°v1t=0.5cos377t-20°

Q: Express each of these complex numbers in rectangular form and in polar form: a. Zg = 5e130° b. Z, =…

A: a) Zd=5ej30° The polar form representation is given by Zd=5∠30° And the rectangular form is given by…

Q: 100/0° V +2 -j5 Ω I Ο 5Ω ell j5 Ω

A:

Q: Solve the following. Show all your solutions. 1. Construct the single sided and double sided…

A: Consider the given function,…

Q: R1 ) vs(t)=10cos(2000rt) i: C1 R1=330 N Cı=1,5 µF Vs

A: we need to find the frequency, period, amplitude and phases of Is, Vs  and VR1.

Q: 1. In what quadrant of the complex plane are these numbers located? -12+j7 -10-j50 8-j2 1+j100 2.…

A: In general, a complex number is represented by x+jy. According to the values of x and y, the number…

Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.