A wire dipole of length λ/100 is placed at the origin, and aligned with the z...
A wire dipole of length λ/100 is placed at the origin, and aligned with the z axis. The current on the dipole may be assumed to be constant of value of 4. Drive and show the procedure to calculate the far-field electric and magnetic fields.
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A wire dipole of length λ/100 is placed at the origin, and
aligned with the z...
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...
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
A long, straight wire is aligned with the z-axis. It has constant linear charge density λ...
A long, straight wire is aligned with the z-axis. It has constant linear charge density λ and is surrounded by a coaxial cylindrical shell of radius R and surface charge density σ = −λ/(2πR). The region 0 < s < R/2 is filled with a linear dielectric of electric susceptibility χe, and there is no dielectric anywhere else. Label regions of space as follows (s is the distance from the z axis): region A (0 < s < R/2), region...
A wire aligned along the z-axis carries a current of 6.7 Amp. in the positive z-direction. Find the force (magnitude and direction) exerted on a 6.4 cm long length of the wire by a uniform magneti...
A wire aligned along the z-axis carries a current of 6.7 Amp. in the positive z-direction. Find the force (magnitude and direction) exerted on a 6.4 cm long length of the wire by a uniform magnetic field with magnitude 0.95 T in the positive y-direction.
A wire aligned along the z-axis carries a current of 6.7 Amp. in the positive z-direction. Find the force (magnitude and direction) exerted on a 6.4 cm long length of the wire by a uniform...
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown....
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-22 cm, 0) carries current I1 = 3.1 A in the negative z-direction. The wire at (x,y) = (22 cm, 0) carries current I2 = 0.7 A in the positive z-direction. The wire at (x,y) = (0, 38.1 cm) carries current I3 = 6.3 A in the positive z-direction. 1. What is Bx(0,0), the x-component of the magnetic field...
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.
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.
Three infinite straight wires are fixed in place and alignedparallel to the z-axis as shown....
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-17 cm, 0) carries current I1 = 3.9 A in the negative z-direction. The wire at (x,y) = (17 cm, 0) carries current I2 = 1.2 A in the positive z-direction. The wire at (x,y) = (0, 29.4 cm) carries current I3 = 6.9 A in the positive z-direction.What is Bx(0,0), the x-component of the magnetic field produced by...
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...
Don't need more information 3. The field of a magnetic dipole located at the origin and...
Don't need more information
3. The field of a magnetic dipole located at the origin and oriented in the ż direction can be written as: B om 4ar3 (2 cos 0f +sin 00), where m is the magnitude of the magnetic dipole moment. a) Calculate the flux of the magnetic field through 2 direction, located at z=a. b) Calculate the flux of the magnetic field through a square of side length 2a oriented in the à direction, located at a...
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...
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
A wire aligned along the z-axis carries a current of 6.7 Amp. in the positive z-direction. Find the force (magnitude and direction) exerted on a 6.4 cm long length of the wire by a uniform magnetic field with magnitude 0.95 T in the positive y-direction.
A wire aligned along the z-axis carries a current of 6.7 Amp. in the positive z-direction. Find the force (magnitude and direction) exerted on a 6.4 cm long length of the wire by a uniform...
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.
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.
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...
Don't need more information
3. The field of a magnetic dipole located at the origin and oriented in the ż direction can be written as: B om 4ar3 (2 cos 0f +sin 00), where m is the magnitude of the magnetic dipole moment. a) Calculate the flux of the magnetic field through 2 direction, located at z=a. b) Calculate the flux of the magnetic field through a square of side length 2a oriented in the à direction, located at a...
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