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Problem 2 An infinitesimal electric dipole is centered at the origin and lies on the x-y...
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
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.
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...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
Please help with the following problem ctric dipole of co and directed along the x -axis....
Please help with the following problem
ctric dipole of co and directed along the x -axis. Derive the (a) far-zone fields radiated by the dipole (b) directivity of the antenna (c) determine polarization of the radiated far-zone fields (E ?,E ? ) in the following planes: (a) ? ?- (b) ?-90 (c) 0 90
Problem 3. An electric dipole of magnitude Po is placed at the origin and rotates clockwise...
Problem 3. An electric dipole of magnitude Po is placed at the origin and rotates clockwise in the xy -plane with the angular frequency o.Find the electric and magnetic fields in the radiation zone and calculate the Poynting vector.
Problem 13.55 A dipole is centered at the origin, and is composed of charged particles with...
Problem 13.55 A dipole is centered at the origin, and is composed of charged particles with charge te and -e, separated by a distance 8 x 1010 m along the y axis. The te charge is on the -y axis, and the -e charge is on the ty axis. A proton is located at <0, 3 x 10-8, 0 m. What is the force on the proton, due to the dipole? An electron is located at <-3 x 10-*, o,...
normal 2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the...
normal 2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below. Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. Using Biot-Savart's law, find an expression...
4. Magnetic Dipole Moment on a PEC Sphere: In HW 4-Problem 5, you found the electric dipole momen...
4. Magnetic Dipole Moment on a PEC Sphere: In HW 4-Problem 5, you found the electric dipole moment for a metal sphere of radius a in a uniform electric field. In this problem you will find the magnetic dipole moment for the same metal sphere but now in a uniform magnetic field, Hext-Hext2. Note:Assume that the sphere is centered at the origin of a spherical coordinate system. Express Hext in spherical coordinates. To find the magnetic field that is induced...
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 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
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.
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...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
Please help with the following problem
ctric dipole of co and directed along the x -axis. Derive the (a) far-zone fields radiated by the dipole (b) directivity of the antenna (c) determine polarization of the radiated far-zone fields (E ?,E ? ) in the following planes: (a) ? ?- (b) ?-90 (c) 0 90
Problem 3. An electric dipole of magnitude Po is placed at the origin and rotates clockwise in the xy -plane with the angular frequency o.Find the electric and magnetic fields in the radiation zone and calculate the Poynting vector.
Problem 13.55 A dipole is centered at the origin, and is composed of charged particles with charge te and -e, separated by a distance 8 x 1010 m along the y axis. The te charge is on the -y axis, and the -e charge is on the ty axis. A proton is located at <0, 3 x 10-8, 0 m. What is the force on the proton, due to the dipole? An electron is located at <-3 x 10-*, o,...
normal 2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below. Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. Using Biot-Savart's law, find an expression...
4. Magnetic Dipole Moment on a PEC Sphere: In HW 4-Problem 5, you found the electric dipole moment for a metal sphere of radius a in a uniform electric field. In this problem you will find the magnetic dipole moment for the same metal sphere but now in a uniform magnetic field, Hext-Hext2. Note:Assume that the sphere is centered at the origin of a spherical coordinate system. Express Hext in spherical coordinates. To find the magnetic field that is induced...
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...
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