Please asap 13.29 Show that if the perturbation fieldA' = 2Ĥ'(r) cos cotacts on a system initially in the Ith state for a very long time, andthen the only statethat will be excited is the kth state. Interpret this result in terms of the Fourier decomposition (intime) of A'.

Answered: Image /qna-images/answer/acbd2676-9afa-444e-b844-46c2f78f53be.jpg

13.29 Show that if the perturbation field A' = 2A'(r) cos cot acts on a system initially in the Ith state for a very long time, and ook, then the only state that will be excited is the kth state. Interpret this result in terms of the Fourier decomposition (in time) of A.

13.29 Show that if the perturbation field A' = 2A'(r) cos cot acts on a system initially in the Ith state for a very long time, and ook, then the only state that will be excited is the kth state. Interpret this result in terms of the Fourier decomposition (in time) of A.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Problem 4: The main cross-cable between towers of a coastal suspension bridge is 60 cm in diameter…

Q: a)is the aircraft stable about the equilibrium represented by the transfer function? b) Using…

A: Given:To find:a) is the aircraft stable about the equilibrium represented by the transfer…

Q: Two forces act on a massless block. If the force Fis B known, what must the magnitude of FÅ be in…

Q: (5-52M./ How much hydraulic power would a pump produce when operating at 140 bars and delivering…

Q: can you do the SF and BM calculation with explanations

Q: Write an iterative computational model to predict and display the motion of a block of mass 60g that…

A: Given:To find:Write a python code.

Q: *6-60. Determine the moment of inertia for the area about the x axis.

Q: A disk with radius R and mass m begins from rest and then moves without slipping while being pulled…

A: In the above diagram, N is normal force, m is mass, g is gravitational acceleration, P is applied…

Q: The mass of bar 3 at G3 is 10 kg. The mass of bar 6 at G6 is 5 kg. The crank is rotating with…

A: Given:To find:Magnitude of the force of inertia acting on bar 3.

Q: Water is the working fluid in a Rankine cycle with reheat. Superheated vapor enters the turbine at…

A: The objective of the question is to determine the total heat addition, the percent thermal…

Q: Prob. # 4] The torsional deformation of a steel shaft is 1° in a length of 2 ft when the shearing…

A: The torsional deformation of the shaft, ()=1oThe length of the shaft, (L)=2 ftThe shearing stress in…

Q: The smooth surface of the vertical cam is defined in part by the curve r(0.2 cos 0+ 0.3) m. (Figure…

A: Write the given data.

Q: 1 kg of steam in a piston / cylinder assembly is initially at 357.933 \ deg C and 2685.66 kPa. It is…

A: Since here we are dealing with steam so despite being a constant temperature process we have to…

Q: 5-120 Consider a 20-L evacuated rigid bottle that is surrounded by the atmosphere at 100 kPa and…

Q: Please show how the value of b was calculated Calculate the dislocation density in tungsten if the…

A: The already calculated solution for the given problem is as below.The expression for the dislocation…

Q: An old composite product of a company is comprised of 40 vol% fibre with the Young's modulus (E =…

A: Objective:Identify which of the following statement is false regarding the replacement if Young's…

Q: An adiabatic turbine receives 2.0 kg/s of superheated steam at 2.5 MPa, and 700°C. The discharge at…

Q: subjected to a vertical shear of 14.5 kips. Determine the maximum shearing stress in the beam.

Q: Explain and critically evaluate injection molding and provide an ICT diagram of the process

A: To Find:The explanation and critical evaluation of injection molding.The ICT diagram of the process.

Q: Q/ Size the duct system as shown in the figure below using velocity method then select Suitable…

A: To Find:The power of the fan.Given:The airflow for the entire system is the main duct velocity is…

Q: Problem 1: Recall the two-mass system from a previous problem set, in which you deter- mined the…

A: To Find:the function of the potential energy.the Taylor expansion series.The total kinetic energy…

Q: A cubical furnace 0.5m x 0.5m x 0.5m on the inside is constructed of fire brick(k = 1.04W/mK) with…

Q: The elevation and tilt angle of table AB are controlled by an operator's hand at point D. The table…

A: Freebody diagram of Table AB:Freebody diagram of the member DCB:

Q: Air is exhausted from the fixed jet engine at 20 kg/s with a velocity of 420 m/s while it is being…

Q: 9.16. One kind of thermodynamic diagram that is useful in engineering problems is the P–H diagram,…

A: P-H diagram is a Pressure-enthalpy diagram in which the molar enthalpy is represented on x-axis or…

Q: Consider several elementary planar irrotational flows arranged in a plane in a cartesian coordinate…

A: This question is about topic of fluid mechanics in mechanical engineering. The uniform velocity and…

Q: The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through…

A: Given:To find:

Q: WHEN SEAWATER FLOWS INTO THE BOTTOM OPENING AT 10 M/S, CALCULATE THE VELOCITY OF THE SEAWATER LEVEL…

A: The objective of this question is to calculate the velocity of the seawater level inside the ballast…

Q: Aim: To conduct a full kinematic analysis and calculate dynamic reaction forces in a linkage…

Q: Two cylinders are to be press-fitted together so that the principal stress with the greatest…

Q: Using the method of Joints. Find the force in each frame member.

A: Given data is

Q: Scenario A pipe made from martensitic steel, with inner and outer diameters of 56 mm and 60 mm,…

Q: Calculate the degree of imbalance in each year based on the data given in the table below for a…

A: Given:To find:Degree of imbalance for each year.

Q: Consider incompressible, frictionless flow of water in a vertical pipe of constant diameter. The…

Q: *6-80. The polar moment of inertia for the area is Jc = 642 (106) mm4, about the z' axis passing…

Q: 4. A spring made from ASTM A228 music wire with ends squared and ground, wire diameter d -3 mm,…

Q: Q2 [Type B]: Determine the speed of the block in Q1 when it moves 2 m up the slope using the Work…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 9-70. Determine the location c and cone.

A: A centroid is nothing but the center of the mass of a uniform density of objects.

Q: Statics with Applications homework problem. Find the forces in the following members using any…

A: Statics with Applications homework problem.Find the forces in the following members using any…

Q: The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through…

A: In this question, it is asking about the solution of part B only so we will provide the solution for…

Q: Consider a gas turbine power plant operating on an ideal Brayton cycle having a pressure ratio of…

A: Given :Gas turbine power plant operating on an ideal Brayton cyclepressure ration To find :The…

Q: Q. 2 A total of 58 AISI 1018 cold-drawn steel bars were tested to determine the 0.2 percent offset…

A: GivenSteel Type: AISI 1018offset= 0.2 %No of bars= 58Results of the testSy, kPsi6468727680848892f,…

Q: 4) If a person exerts 1000 N of vertical force against the ground for 0.2 seconds and has a mass of…

A: The Given data :To find:

Q: Which moment has a greater magnitude? 10 m F 70° A B 7 kN A. The moment of the force F about A The…

A: Which moment has a greater magnitude?A. The moment of the force F about A.B. The moment of the force…

Q: find shear and bending moment A RA 3 m 15 kN B t w = 50 kN/m 3 m 2 m Rc D

A: For the solution refer below images.

Q: A fluid with specific weight 32 -flows through the pipe below as it narrows from a diameter of 4.8…

Q: Part B please

A: In this question, it is asking about the solution of part B only so we will provide the solution for…

Q: 6-9. Determine the force in each member of the truss state if the members are in tension or…

A: Ans Now draw the FBD of the given truss as Now calculate the length of member AF as Now in triangle…

Q: Enumerate the possible steps involved in the design procedure of ventilation systems.

A: The design of ventilation system involve many steps which are enumerated (listed) below

Q: Please write the NC code for machining this part in Fanue system.

A: this question is about topic of CNC machining in production engineering subject. The NC code for…

Question

Please asap

13.29 Show that if the perturbation field
A' = 2Ĥ'(r) cos cot
acts on a system initially in the Ith state for a very long time, and
then the only state
that will be excited is the kth state. Interpret this result in terms of the Fourier decomposition (in
time) of A'.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given perturbation field

VIEW

Step 2: Interpret the result in the terms of Fourier decomposition

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fick’s Law of Diffusion and Mass Transfer

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Examine the inviscid stability of this base state:
(c) An electric dipole consists of 0.003 kg spheres charged to ∓3e-09 C at the ends of a 0.16 m long non-conducting rod of mass 0.006 kg The dipole rotates on a frictionless pivot at its center. The dipole is held perpendicular to a uniform electric field with a field strength 1000 V/m, then released. What is the dipole's angular velocity (in rad/s) at the instant it is aligned with the electric field? (HINT: Look up the moment of inertia of the rotating rod about its center and don't forget the rotational kinetic energy term (along with the other terms) when you set up your conservation of energy problem). a)0.0534 b)0.446 c)0.289 d)0.119 e)0.137 f)0.205 (d) Four 1.9e-08 C charges are held in location to form a perfect square with sides of length 0.1 m. Two of the charges from opposing corners are released simultaneously, the other two are held in place. The mass of each charge is 0.003 kg. How fast (in m/s) will the two released charges be moving when they are far, far away from…
1. Consider the state equation d x1 = dt X2 0 -8 -6 1 ] ( 2 ) x1 x2 (1) where x1 and x2 are state variables. (a) Determine the eigenvalues and eigenvectors of the state matrix. (b) Let (t) be the state transition matrix. Determine (t) through eigenvector expansion. Hint: A useful formula is the inversion of 2 × 2 matrix as follows. a b C d = 1 d -b ad - bc -C a (c) The state equation (1) is subjected to the following initial conditions x(0) = (2) (3) Determine the solution of (1) through use of the state transition matrix. (d) Determine the stability of the system. Will the response of the system oscillate? Explain why.
Q2. Consider the following mechanical system, z and y are displacements and the input force to the system is u. U b m Frictions surface
Consider a physical system with a three-dimensional state space. An orthonormal basis of the state space is chosen. In this basis the Hamiltonian is represented by the matrix H = [2 1 0 1 2 0 0 0 3] What are the possible results when the energy of the system is measured? A particle is in the state| psi > which is represented in this basis as, with i = Squareroot (-1), 1/Squareroot 3 [i -i i] Find , , and Delta H.
A simple pendulum whose string measures 1 = 2 m and whose mass is 5 kg is at rest in its position of equilibrium and is subjected to a harmonic forcing of intensity F₁ = 2 N and frequency w rad/s. find: a) The frequency @ for which the system is in resonance. b) Make a graph of angular position v/s time where the amplitude and period of the system if the frequency w is equal to twice the resonant frequency.
4. (hint-two region determinate) I P A B C L-
Make a bond graph model for the following systems.
In the Routh table, if all the members in the 1st column are positive, we can say that the system is definitely stable. Select one: O True O False
2k k www 2m a) Determine DOF b) Obtain n eq vations of motion c) Obtain the state-space nodel of the system.
3 5. `x, X, -3 6 [3 0 0 6 6 Determine the steady-state respanse et the System given above.
An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =