Please help with the following problem
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Please help with the following problem
ctric dipole of co and directed along the x -axis....
1. 135 points] A horizontal infinitesimal electric dipole of a constant current I, has the length,...
1. 135 points] A horizontal infinitesimal electric dipole of a constant current I, has the length, I is placed symmetrically about the origin, and directed along the x-axis. Derive the (a) Far-zone fields radiated by the dipole. (b) Plot radiation patterns in the ф-0° and ф-900 planes. (c) Calculate the polarization of the dipole at a point P(r, θ-60°, φ-0°) (d) Show that its maximum directivity, Do 1.5.
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...
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...
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...
Problem 2 An infinitesimal electric dipole is centered at the origin and lies on the x-y...
Problem 2 An infinitesimal electric dipole is centered at the origin and lies on the x-y plane along a line which is at an angle of 45 degrees with respect to the x-axis. Find the far-zone electric and magnetic fields radiated. The answer should be a function of spherical coordinates.
1. Antenna problem A wire of length L has its center at the origin, and lies along the z axis. The current carried by the wire is of the form I(,)-locos(wt) cos(1). Consider positions in the radiatio...
1. Antenna problem A wire of length L has its center at the origin, and lies along the z axis. The current carried by the wire is of the form I(,)-locos(wt) cos(1). Consider positions in the radiation zone. (a) Compute A(r, t) b) Compute E(r,t) and B(r, t) (c) Compute the angular distribution of radiated power
1. Antenna problem A wire of length L has its center at the origin, and lies along the z axis. The current carried by...
Can someone please explain how to solve the problem below? 1. (10) A Hertzian dipole antenna...
Can
someone please explain how to solve the problem below?
1. (10) A Hertzian dipole antenna has a length of 5 mm and carries 100 MHz current of 2 Amps. Find the (a) magnitude of the E and H fields 1000 m away from the antenna at an angle = 30° and the radiated power, (b) Prad.
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...
A uniform electric field E is directed along the x axis between parallel planes of charge...
A uniform electric field E is directed along the x axis between
parallel planes of charge separated by a distance d as shown A
positive point charge q of mass m is released from rest A and
accelerates to a point B. Find the speed of the particle at point
B.
ih electric field E is directed along the x axis between paral ance d as shown A positive point charge q of mass m is rele es to a...
1. 135 points] A horizontal infinitesimal electric dipole of a constant current I, has the length, I is placed symmetrically about the origin, and directed along the x-axis. Derive the (a) Far-zone fields radiated by the dipole. (b) Plot radiation patterns in the ф-0° and ф-900 planes. (c) Calculate the polarization of the dipole at a point P(r, θ-60°, φ-0°) (d) Show that its maximum directivity, Do 1.5.
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...
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...
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...
Problem 2 An infinitesimal electric dipole is centered at the origin and lies on the x-y plane along a line which is at an angle of 45 degrees with respect to the x-axis. Find the far-zone electric and magnetic fields radiated. The answer should be a function of spherical coordinates.
1. Antenna problem A wire of length L has its center at the origin, and lies along the z axis. The current carried by the wire is of the form I(,)-locos(wt) cos(1). Consider positions in the radiation zone. (a) Compute A(r, t) b) Compute E(r,t) and B(r, t) (c) Compute the angular distribution of radiated power
1. Antenna problem A wire of length L has its center at the origin, and lies along the z axis. The current carried by...
Can
someone please explain how to solve the problem below?
1. (10) A Hertzian dipole antenna has a length of 5 mm and carries 100 MHz current of 2 Amps. Find the (a) magnitude of the E and H fields 1000 m away from the antenna at an angle = 30° and the radiated power, (b) Prad.
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...
A uniform electric field E is directed along the x axis between
parallel planes of charge separated by a distance d as shown A
positive point charge q of mass m is released from rest A and
accelerates to a point B. Find the speed of the particle at point
B.
ih electric field E is directed along the x axis between paral ance d as shown A positive point charge q of mass m is rele es to a...
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