Homework Answers
1) E far field is in -X direction
H far field is in Z direction
Then,direction of wave propagation is in -Z direction
2) dipole direction is south to north direction of the force
Dipole located along the y axis
The direction of dipole is X direction
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1. E-far field is in -x direction and H-far field is z direction. Where is the...
The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile...
The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile units, positioned symmetrically at the origin along the z- axis, is given by 0°0 180° 1.5 ejkr EaâgEa sin 0° e 360° where E is a constant and r is the spherical radial distance measured from the origin of the coordinate system. Determine the: (a) Exact maximum directivity (dimensionless and in dB) (b) Half-power beamwidth (in degrees) (c) Approximate maximum directivity (dimensionless...
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
The momentum density of an electromagnetic wave is defined as . The direction of the momentum density...
The momentum density of an electromagnetic wave is defined as . The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates: A. along the positive...
The momentum density of an electromagnetic wave is defined as Pen=€(ĒXB). The direction of the momentum...
The momentum density of an electromagnetic wave is defined as Pen=€(ĒXB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
The momentum density of an electromagnetic wave is defined as Pem=€(ĒxB). The direction of the momentum...
The momentum density of an electromagnetic wave is defined as Pem=€(ĒxB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive X-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
The Options for direction are (+x, -x, +z, -z, +y, -y, "direction not pertinant") A particle...
The Options for direction are (+x, -x, +z, -z, +y, -y,
"direction not pertinant")
A particle has a charge of q +5.5 μC and is located at the origin. As the drawing shows, an electric field of Ex 244 N/C exists along the +x axis. A magnetic field also exists and its x and y components are Bx = +1.3 T and By +1.3 T. Calculate the force (magnitude and direction) exerted on the particle by each of the three...
The momentum density of an electromagnetic wave is defined as Doro(EXB). The direction of the momentum...
The momentum density of an electromagnetic wave is defined as Doro(EXB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
A uniform plane wave traveling along the negative z-axis given by impinges upon an crossed-dipole antenna...
A uniform plane wave traveling along the negative z-axis given
by
impinges upon an crossed-dipole antenna consisting of two
identical dipoles, one directed along the x-axis and the other
directed along the y-axis, both fed with the same amplitude. The
y-directed dipole is fed with a 90◦ phase lead compared to the
x-directed dipole.
(a) Write an expression for the polarization unit vector of the
incident wave.
(b) Write an expression for the polarization unit vector of the
receiving antenna...
In a region of space there is an electric field E~ that is in the z-direction...
In a region of space there is an electric field E~ that is in the z-direction and that has magnitude E=(868N/(C?m))x. Find the flux for this field through a square in the xy-plane at z = 0 and with side length 0.330 m. One side of the square is along the +x -axis and another side is along the +y-axis. [answer is 15.6 N.m2/C] please explain and show work thanks!
A dipole is located at the origin, and is composed of charged particles with charge e...
A dipole is located at the origin, and is composed of charged particles with charge e and -e, separated by a distance 2 10-10 m along the x axis. The positive x axis points to the right. The te charge is on the positive x-axis. Suggestion: draw a picture with the dipole and the observation location (where you want to find the field). What is the magnitude of the electric field due to this dipole at location 〈 0,2 *...
The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile units, positioned symmetrically at the origin along the z- axis, is given by 0°0 180° 1.5 ejkr EaâgEa sin 0° e 360° where E is a constant and r is the spherical radial distance measured from the origin of the coordinate system. Determine the: (a) Exact maximum directivity (dimensionless and in dB) (b) Half-power beamwidth (in degrees) (c) Approximate maximum directivity (dimensionless...
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
The momentum density of an electromagnetic wave is defined as Pen=€(ĒXB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
The momentum density of an electromagnetic wave is defined as Pem=€(ĒxB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive X-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
The Options for direction are (+x, -x, +z, -z, +y, -y,
"direction not pertinant")
A particle has a charge of q +5.5 μC and is located at the origin. As the drawing shows, an electric field of Ex 244 N/C exists along the +x axis. A magnetic field also exists and its x and y components are Bx = +1.3 T and By +1.3 T. Calculate the force (magnitude and direction) exerted on the particle by each of the three...
The momentum density of an electromagnetic wave is defined as Doro(EXB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
A uniform plane wave traveling along the negative z-axis given
by
impinges upon an crossed-dipole antenna consisting of two
identical dipoles, one directed along the x-axis and the other
directed along the y-axis, both fed with the same amplitude. The
y-directed dipole is fed with a 90◦ phase lead compared to the
x-directed dipole.
(a) Write an expression for the polarization unit vector of the
incident wave.
(b) Write an expression for the polarization unit vector of the
receiving antenna...
A dipole is located at the origin, and is composed of charged particles with charge e and -e, separated by a distance 2 10-10 m along the x axis. The positive x axis points to the right. The te charge is on the positive x-axis. Suggestion: draw a picture with the dipole and the observation location (where you want to find the field). What is the magnitude of the electric field due to this dipole at location 〈 0,2 *...
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