Homework Answers
Add Answer to:
4) Potentials and fields: Consider a vector potential of the form À (7%,t) = Ho Ko...
5.) 6 pts. Potentials and potentials and guage. Substituting the relations between for the vector potential A. Substi nto Maxwell's equations gives the equation below av (a) 4 pts. Write an a...
5.) 6 pts. Potentials and potentials and guage. Substituting the relations between for the vector potential A. Substi nto Maxwell's equations gives the equation below av (a) 4 pts. Write an assumption for a property of A in the equation above that allows us to write a solution for A at an observer r at time t in the form below: (b) 2 pts. How is the retarded time tr related to time t and distance r to the observer?...
Problem 3 Consider a possible solution to Maxwell's equations in vacuum given by A(x, t) =...
Problem 3 Consider a possible solution to Maxwell's equations in vacuum given by A(x, t) = Ao exp(i(kx - wt)), V(x, t) = 0 where A is the vector potential and V is the scalar potential. Suppose Ao, k and w are constants in space and time. a) Compute the time-dependent electric and magnetic fields from the given potentials. Show your work. b) Give the contraints, if any, on Ao, k and w imposed by the following two Maxwell's equations...
Math 407 Homework 4 Name: 1. Why the following sets are not vector space? with the...
Math 407 Homework 4 Name: 1. Why the following sets are not vector space? with the regular vector addition and scalar multiplication. b) v = {(7: «y 20} with the regular vector addition and scalar multiplication. with the regular vector addition and scalar multiplication. 2. The set B = {1,1+t, t+t?} is a basis for P, the set of all polynomials with degree less than or equal to 2. Find the coordinate vector of p(t)-5+21+342 3. Let H =Span{ői, üz.us)...
Consider line L, given below. x = 6 + t, y = 7 + t, z...
Consider line L, given below. x = 6 + t, y = 7 + t, z = 3 + 3t, tER (a) Find point P that belongs to the line and direction vector v of the line. Express v in component form. P = V = (b) Find the distance from the origin to line L.
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë Mx + x = LO 183, 2000 -1800 x (-1800 45001 The system is initially at rest with X (0) = 0 and 2,0)=0 when input F(t) = 84 sin 15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx...
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx Mx + Kx = 0 18X, + 2000 -1800 x -1800 4500 I:1-[0] The system is initially at rest with x(0) = 0 and x,0)=0 when input F(t) = 84 sin15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed vector. Determine the relation between w and k = \KI SO that Ē(7,t) is a solution of the wave equation -27 182 VPE = 2 ət? - What is the direction of propagation of the wave? ii) Show, by substitution of Ē(7,t) in the appropriate Maxwell's equation, that K· Ē= 0. iii) Assuming that the magnetic field B(7, t) = B, cos(wt – K:1),...
Consider the following. Tis the reflection through the origin in R2: T(x, y) = (-x, -y),...
Consider the following. Tis the reflection through the origin in R2: T(x, y) = (-x, -y), v = (2,5). (a) Find the standard matrix A for the linear transformation T. A= 1 (b) Use A to find the image of the vector v. T(v) = (c) Sketch the graph of v and its image. у 6 у 6 V 5: 5 41 4 3 3 T(v) 2 2 11 1 X 1 -6 -5 -4 -3 -2 -1 -A 2...
Please help with 3 and 4. 518 Guided Projects Guided Project 77: Planimeters and vector fields...
Please help with 3 and 4.
518 Guided Projects Guided Project 77: Planimeters and vector fields Topics and skills: Vector calculus, Stokes' Theorem The planimeter is an ingenious device that allows one to trace a closed curve in the plane and determine the area of the region R enclosed by the curve (Figure 1). For this reason, it is an example of an "integrator," a mechanical device that computes areas of regions bounded by curves. The original planimeter was invented...
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point...
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point and is parallel to the given vector. (4, -3,6) < 1, 2, -3> (a) Find symmetric equations for the line. 2-6 -(x-4)= 2 3 y +3 (b) Find the points in which the line intersects the coordinate planes. (5 X IX 0) (0,9 X -6 (4 x 0, 4 X) 1 Consider the line that passes through the point and is perpendicular to the...
5.) 6 pts. Potentials and potentials and guage. Substituting the relations between for the vector potential A. Substi nto Maxwell's equations gives the equation below av (a) 4 pts. Write an assumption for a property of A in the equation above that allows us to write a solution for A at an observer r at time t in the form below: (b) 2 pts. How is the retarded time tr related to time t and distance r to the observer?...
Problem 3 Consider a possible solution to Maxwell's equations in vacuum given by A(x, t) = Ao exp(i(kx - wt)), V(x, t) = 0 where A is the vector potential and V is the scalar potential. Suppose Ao, k and w are constants in space and time. a) Compute the time-dependent electric and magnetic fields from the given potentials. Show your work. b) Give the contraints, if any, on Ao, k and w imposed by the following two Maxwell's equations...
Math 407 Homework 4 Name: 1. Why the following sets are not vector space? with the regular vector addition and scalar multiplication. b) v = {(7: «y 20} with the regular vector addition and scalar multiplication. with the regular vector addition and scalar multiplication. 2. The set B = {1,1+t, t+t?} is a basis for P, the set of all polynomials with degree less than or equal to 2. Find the coordinate vector of p(t)-5+21+342 3. Let H =Span{ői, üz.us)...
Consider line L, given below. x = 6 + t, y = 7 + t, z = 3 + 3t, tER (a) Find point P that belongs to the line and direction vector v of the line. Express v in component form. P = V = (b) Find the distance from the origin to line L.
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë Mx + x = LO 183, 2000 -1800 x (-1800 45001 The system is initially at rest with X (0) = 0 and 2,0)=0 when input F(t) = 84 sin 15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
Consider an undamped system where the vector-matrix form of the system model is: F(t) [8 olx Mx + Kx = 0 18X, + 2000 -1800 x -1800 4500 I:1-[0] The system is initially at rest with x(0) = 0 and x,0)=0 when input F(t) = 84 sin15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed vector. Determine the relation between w and k = \KI SO that Ē(7,t) is a solution of the wave equation -27 182 VPE = 2 ət? - What is the direction of propagation of the wave? ii) Show, by substitution of Ē(7,t) in the appropriate Maxwell's equation, that K· Ē= 0. iii) Assuming that the magnetic field B(7, t) = B, cos(wt – K:1),...
Consider the following. Tis the reflection through the origin in R2: T(x, y) = (-x, -y), v = (2,5). (a) Find the standard matrix A for the linear transformation T. A= 1 (b) Use A to find the image of the vector v. T(v) = (c) Sketch the graph of v and its image. у 6 у 6 V 5: 5 41 4 3 3 T(v) 2 2 11 1 X 1 -6 -5 -4 -3 -2 -1 -A 2...
Please help with 3 and 4.
518 Guided Projects Guided Project 77: Planimeters and vector fields Topics and skills: Vector calculus, Stokes' Theorem The planimeter is an ingenious device that allows one to trace a closed curve in the plane and determine the area of the region R enclosed by the curve (Figure 1). For this reason, it is an example of an "integrator," a mechanical device that computes areas of regions bounded by curves. The original planimeter was invented...
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point and is parallel to the given vector. (4, -3,6) < 1, 2, -3> (a) Find symmetric equations for the line. 2-6 -(x-4)= 2 3 y +3 (b) Find the points in which the line intersects the coordinate planes. (5 X IX 0) (0,9 X -6 (4 x 0, 4 X) 1 Consider the line that passes through the point and is perpendicular to the...
Most questions answered within 3 hours.
-
This is an Economics Question
When using the SAS software for Economic calculations,
write the code...
asked 2 minutes ago -
wWhat situation is ideally suited to valuation with the dividend
growth model?
asked 26 minutes ago -
Direct Labor Variances
Bellingham Company produces a product that requires 2 standard
direct labor hours per...
asked 25 minutes ago -
A munitions warehouse contains 50 bombs, of which 3 are
defective (6%). A sample of 10...
asked 42 minutes ago -
List 6 factors you should consider when designing indexes.
Please explain your answers.
asked 40 minutes ago -
Hello
I am beginner in JAVA but that does not mean i
cant do a perfect...
asked 37 minutes ago -
is
it possible for a change in one nucleotide of an organism’s DNA to
result in...
asked 1 hour ago -
Project 5 - intro to python
Write a program in python that calculates the amount of...
asked 1 hour ago -
Compare/Contrast the following: protein/enzyme, ligand/substrate,
channel protein/carrier protein,
exocytosis/endocytosis.
asked 1 hour ago -
A researcher asks: Are high school students who have tried
alcohol more likely to have had...
asked 1 hour ago -
Use a style sheet to define the following rules and implement
the given HTML code. Please...
asked 1 hour ago -
How many grams of KBr are contained in 200 mL of a 0.310 M KBr
solution?...
asked 1 hour ago