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:...
An electromagnetic wave is traveling in the positive x direction with its electric field along the...
An electromagnetic wave is traveling in the positive x direction with its electric field along the z axis and its magnetic field along the y axis. The fields are related by: ∂B/∂x = μ0ε0∂E/∂t ∂B/∂x = –μ0ε0∂E/∂t ∂E/∂x = μ0ε0∂B/∂t ∂B/∂x = μ0ε0∂E/∂x ∂E/∂x = μ0ε0∂B/∂x An electromagnetic wave is traveling in the positive x direction with its electric field along the z axis and its magnetic field along the y axis. The fields are related by: ∂B/∂x = μ0ε0∂E/∂t...
If the electric field of an electromagnetic wave oscillates along the x-axis and the magnetic field...
If the electric field of an electromagnetic wave oscillates along the x-axis and the magnetic field of the same electromagnetic wave oscillates along the z-axis, what is the direction of the propagation of the traveling electromagnetic wave?
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...
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...
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