Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
If the vector electris potential for an antenna is Fm4,F,-, find E=E,, TFF and H-H in...
Only 4.10 (b) using the vector potential approach... Thank you! 14.9. An infinitesimal magnetic dipole of...
Only 4.10 (b) using the vector potential approach... Thank
you!
14.9. An infinitesimal magnetic dipole of constant current ,,, and length I is symmetrically placed about the origin along the z-axis. Find the (a) spherical E- and H-field components radiated by the dipole in all space (b) directivity of the antenna 10. For the infinitesimal magnetic dipole of Problem 4.9, find the far-zone fields when the element is placed along the (b) y-axis
Using the vector potential A and the procedure outlined in Section 3.6 of Chapter 3, derive...
Using the vector potential A and the procedure outlined in Section 3.6 of Chapter 3, derive the far-zone spherical electric and magnetic field components of a horizontal infinitesimal dipole placed at the origin of the coordinate system of Figure 4.1 Solution: Using (4-4), but for a horizontal infinitesimal dipole of uniform current directed along the y-axis, the corresponding vector potential can be written as uloleikr A = â 4πη with the corresponding spherical components, using the rectangular to spherical components...
1) A Hertzian dipole antenna is a short conducting wire carrying an approximately constant current over its length...
1) A Hertzian dipole antenna is a short conducting wire carrying an approximately constant current over its length If such a dipole is placed along the z-axis with its midpoint at the origin, and if the current flowing through it is i(t) ż lo cosot, assume I to be sufficiently small so that the observation point is approximately equidistant to all points on the dipole; that is, assume RR then the corresponding magnetic field is described by: olk2 sin e...
RBH 11.28] Problem 5: A vector force field F is defined in Cartesian Coordinates by y's F Fo 'xy2 + a3 e*y/a2 j...
RBH 11.28] Problem 5: A vector force field F is defined in Cartesian Coordinates by y's F Fo 'xy2 + a3 e*y/a2 j+ey/ak a Use Stokes' Theorem to calculate: F.dr L where L is the perimeter of the rectangle ABCD given by A = (0,1, 0), B = (1,1,0), C = (1,3, 0) and D = (0,3,0)
RBH 11.28] Problem 5: A vector force field F is defined in Cartesian Coordinates by y's F Fo 'xy2 + a3 e*y/a2 j+ey/ak...
1. Find the divergence, curl and Laplacian of the following vector fields (a) E = psin...
1. Find the divergence, curl and Laplacian of the following vector fields (a) E = psin o Ô-p?Ộ - zk, where p, 0, z are cylindrical coordinates. (b) F = sin O † – rsin e ôn, where r, 0, $ are spherical coordinates.
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the...
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the vector.) f Sketch the electric field lines. g) Find the electric Field at (x, 0) for「a. h) Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).) +4Q -Q
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the...
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the vector.) f Sketch the electric field lines. g) Find the electric Field at (x, 0) for「a. h) Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).) +4Q -Q
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of...
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
2. a) Find a potential of the vector field f(x, y) = (a2 +2xy - y2,...
2. a) Find a potential of the vector field f(x, y) = (a2 +2xy - y2, a2 - 2ry - y2) b) Show that the vector field (e" (sin ry + ycos xy) +2x - 2z, xe" cos ry2y, 1 - 2x) is conservative.
A. Make a sketch of a vector F- (x,y, z), labeling the appropriate spherical coordinates. In addi...
A. Make a sketch of a vector F- (x,y, z), labeling the appropriate spherical coordinates. In addition, show the unit vectors r, θ, and φ at that point B. Write the vectors ŕ.0, and ф in terms of the unit vectors x, y, and г. Here's the easy way to do this 1. For r, simply use the fact that/r 2. For φ, use the following formula sin θ Explain why the above formula works 3. Compute θ via θ...
Only 4.10 (b) using the vector potential approach... Thank
you!
14.9. An infinitesimal magnetic dipole of constant current ,,, and length I is symmetrically placed about the origin along the z-axis. Find the (a) spherical E- and H-field components radiated by the dipole in all space (b) directivity of the antenna 10. For the infinitesimal magnetic dipole of Problem 4.9, find the far-zone fields when the element is placed along the (b) y-axis
Using the vector potential A and the procedure outlined in Section 3.6 of Chapter 3, derive the far-zone spherical electric and magnetic field components of a horizontal infinitesimal dipole placed at the origin of the coordinate system of Figure 4.1 Solution: Using (4-4), but for a horizontal infinitesimal dipole of uniform current directed along the y-axis, the corresponding vector potential can be written as uloleikr A = â 4πη with the corresponding spherical components, using the rectangular to spherical components...
1) A Hertzian dipole antenna is a short conducting wire carrying an approximately constant current over its length If such a dipole is placed along the z-axis with its midpoint at the origin, and if the current flowing through it is i(t) ż lo cosot, assume I to be sufficiently small so that the observation point is approximately equidistant to all points on the dipole; that is, assume RR then the corresponding magnetic field is described by: olk2 sin e...
RBH 11.28] Problem 5: A vector force field F is defined in Cartesian Coordinates by y's F Fo 'xy2 + a3 e*y/a2 j+ey/ak a Use Stokes' Theorem to calculate: F.dr L where L is the perimeter of the rectangle ABCD given by A = (0,1, 0), B = (1,1,0), C = (1,3, 0) and D = (0,3,0)
RBH 11.28] Problem 5: A vector force field F is defined in Cartesian Coordinates by y's F Fo 'xy2 + a3 e*y/a2 j+ey/ak...
1. Find the divergence, curl and Laplacian of the following vector fields (a) E = psin o Ô-p?Ộ - zk, where p, 0, z are cylindrical coordinates. (b) F = sin O † – rsin e ôn, where r, 0, $ are spherical coordinates.
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the vector.) f Sketch the electric field lines. g) Find the electric Field at (x, 0) for「a. h) Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).) +4Q -Q
e) Find the electric Field vector at point (0, +a) (Calculate the magnitude, and draw the vector.) f Sketch the electric field lines. g) Find the electric Field at (x, 0) for「a. h) Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).) +4Q -Q
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
2. a) Find a potential of the vector field f(x, y) = (a2 +2xy - y2, a2 - 2ry - y2) b) Show that the vector field (e" (sin ry + ycos xy) +2x - 2z, xe" cos ry2y, 1 - 2x) is conservative.
A. Make a sketch of a vector F- (x,y, z), labeling the appropriate spherical coordinates. In addition, show the unit vectors r, θ, and φ at that point B. Write the vectors ŕ.0, and ф in terms of the unit vectors x, y, and г. Here's the easy way to do this 1. For r, simply use the fact that/r 2. For φ, use the following formula sin θ Explain why the above formula works 3. Compute θ via θ...
Most questions answered within 3 hours.
-
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 1 hour ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 1 hour ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 2 hours ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 3 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 4 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 4 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 4 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 5 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 5 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 5 hours ago -
Project management question:
Name 3 different types of resources (hint: humans are one
type)
asked 5 hours ago -
Consider the following reaction: C 2H 2( g) + 2H 2( g) C 2H 6(
g)...
asked 6 hours ago