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Consider a monochromatic plane wave u(r,t)-a cos(2πι't-k , r + p) with frequency 569 THz, amplitude...
Please help. We work from the Griffiths electrodynamics textbook. Question 3 The complex monochromatic plane wave...
Please help. We work from the Griffiths
electrodynamics textbook.
Question 3 The complex monochromatic plane wave solutions (travelling in the k-direction) of the wave equations for the electric and magnetic fields in vacuum have to satisfy B(r, t) =-k x E(r, t), that is, these solutions have to be transverse to the direction of propagation, and E and B have to be mutually perpendicular (a) Prove that the real fields E and B have to be in phase. (b) Show...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
A traveling sound wave through the air is given by s(x,t) = (9.0nm)cos(kx+(1500 r ad s...
A traveling sound wave through the air is given by s(x,t) = (9.0nm)cos(kx+(1500 r ad s )t +φ). How long would it take for the air molecule to move between +5.0nm and −5.0nm? Hints: • Note that you are dealing with a function of two variables, x and t. Choose convenient values for s,x, and t to first determine φ. • Assign one of the value for s(t) that is given in the problem, and solve for t. (Keep the...
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot...
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot the curve with t going over the interval [-2, 2]. b) Plot the curve again over the same interval, but this time add the velocity vector in blue at (1, 0, 0) to the graph. c) Plot the curve again over the same interval, along with the blue velocity vector at (1, 0, 0), but this time add the acceleration vector in red at...
Question 2: A particle of mass m moves in a potential energy U(x) that is zero...
Question 2: A particle of mass m moves in a potential energy U(x) that is zero forェ* 0 and is-oo at r-0. This is am attractive delta function, very odd. Do not worry about the physical meaning of the potential, just roll with it for now. The system is described by the wave function Afor <0 where a is a real, positive constant with dimensions of 1/Length, and A is the normalization constant, treat it as a unknown complex-number for...
Please show all your works. Thanks. 2) Let r(t) be the continuous-time signal x(t) t(0.97)' [a(t)-u(t-100)|...
Please show all your works.
Thanks.
2) Let r(t) be the continuous-time signal x(t) t(0.97)' [a(t)-u(t-100)| where u(t) is the unit step function. We sample r(t) with a sampling period of T 0.4 over ootoo to obtain r/n]. Assume that the sample for n 0 is taken at t 0. We then use sinc interpolation to generate Tr(t) from xml a) Plot r(t) using MATLAB over the smallest range that includes all nonzero values of r(t) b) Find r[n] c)...
B Frequency Response Modeling Frequency response modeling of a linear system is based on the prem...
Please explain every step as clearly and detailed as
possible.
B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
I will upvote if u will solve What u need? DFT can also be obtained using matrix multiplication. Let X[r] show the transformed values and x[n] show the original signal. Using the analysis equa...
I will upvote if u will solve
What u need?
DFT can also be obtained using matrix multiplication. Let X[r] show the transformed values and x[n] show the original signal. Using the analysis equation: Using matrix multiplication, this operation can be written as x[O X[1 1 e(2m/N) e-K4n/N) x12] [N-1]] e-j(2(N-1)T/N)e-j(4(N-1)m/N) Instead of huilt-in EFT function use matrix multinlication to solve 3th auestion [ 1 e-/(2(N-1)(N-1)T/N)]Le[N-1] DFT is an extension of DTFT in which frequency is discretized to a finite...
17.1) Show that the retarded field propagator for a free particle in momentum space and the time ...
additional info
17.1) Show that the retarded field propagator for a free particle in momentum space and the time domain: given by θ(te-ty)e-i(Epte-Eqty's(3) (p-q) 17.1 The field propagntor in outline e field propagator in outline 155 he field propagator involves a simple thought experi- our interacting system in its ground state, which we interactin ent. We start with denote w 12). The thought experiment works as follows: we introdu extra particle of our choice the system. point ( in anni...
Vout should be a sinusoid signal of 12Vp-p Dc voltage to uA741 : +/-8.5V Please simulate...
Vout should be a sinusoid signal of 12Vp-p
Dc voltage to uA741 : +/-8.5V
Please simulate as well
please help, im completely lost on this
this is all of the information
Experiment 5. RC Sinusoidal Oscillators PURPOSE: This laboratory provides an introduction to the background, analysis and design of sinusoidal oscillators using RC feedback networks and active devices to achieve the criteria for continuous oscillations to occur. EQUIPMENT REQUIRED : 1 Operational amplifier u.A741 1 CEU development station Resistors and...
Please help. We work from the Griffiths
electrodynamics textbook.
Question 3 The complex monochromatic plane wave solutions (travelling in the k-direction) of the wave equations for the electric and magnetic fields in vacuum have to satisfy B(r, t) =-k x E(r, t), that is, these solutions have to be transverse to the direction of propagation, and E and B have to be mutually perpendicular (a) Prove that the real fields E and B have to be in phase. (b) Show...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
Question 2: A particle of mass m moves in a potential energy U(x) that is zero forェ* 0 and is-oo at r-0. This is am attractive delta function, very odd. Do not worry about the physical meaning of the potential, just roll with it for now. The system is described by the wave function Afor <0 where a is a real, positive constant with dimensions of 1/Length, and A is the normalization constant, treat it as a unknown complex-number for...
Please show all your works.
Thanks.
2) Let r(t) be the continuous-time signal x(t) t(0.97)' [a(t)-u(t-100)| where u(t) is the unit step function. We sample r(t) with a sampling period of T 0.4 over ootoo to obtain r/n]. Assume that the sample for n 0 is taken at t 0. We then use sinc interpolation to generate Tr(t) from xml a) Plot r(t) using MATLAB over the smallest range that includes all nonzero values of r(t) b) Find r[n] c)...
Please explain every step as clearly and detailed as
possible.
B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
I will upvote if u will solve
What u need?
DFT can also be obtained using matrix multiplication. Let X[r] show the transformed values and x[n] show the original signal. Using the analysis equation: Using matrix multiplication, this operation can be written as x[O X[1 1 e(2m/N) e-K4n/N) x12] [N-1]] e-j(2(N-1)T/N)e-j(4(N-1)m/N) Instead of huilt-in EFT function use matrix multinlication to solve 3th auestion [ 1 e-/(2(N-1)(N-1)T/N)]Le[N-1] DFT is an extension of DTFT in which frequency is discretized to a finite...
additional info
17.1) Show that the retarded field propagator for a free particle in momentum space and the time domain: given by θ(te-ty)e-i(Epte-Eqty's(3) (p-q) 17.1 The field propagntor in outline e field propagator in outline 155 he field propagator involves a simple thought experi- our interacting system in its ground state, which we interactin ent. We start with denote w 12). The thought experiment works as follows: we introdu extra particle of our choice the system. point ( in anni...
Vout should be a sinusoid signal of 12Vp-p
Dc voltage to uA741 : +/-8.5V
Please simulate as well
please help, im completely lost on this
this is all of the information
Experiment 5. RC Sinusoidal Oscillators PURPOSE: This laboratory provides an introduction to the background, analysis and design of sinusoidal oscillators using RC feedback networks and active devices to achieve the criteria for continuous oscillations to occur. EQUIPMENT REQUIRED : 1 Operational amplifier u.A741 1 CEU development station Resistors and...
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