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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...
A wire of length L lies along the x-axis with the center of the wire at...
A wire of length L lies along the x-axis with the center of the wire at the origin. The wire carries current I in the negative x-direction. Part A What is the expression for the magnitude of the magnetic field B due to the current in the wire at the point y = L/2 on the y-axis? Make sure the quantities you enter match the ones given in the problem exactly. ΠΙ ΑΣΦ ? B = Submit Request Answer
A charged rod of length L lies along the z-axis, centered at the origin It has...
A charged rod of length L lies along the z-axis, centered at the origin It has a charge distribution: lambda(z) [\lambda_0 * z]/L a.) What coordinate system should be used to describe this system? Explain. b.) What is the total charge Q on the rod? c.) Find an equation for the electric field for (x, y, z), use any coordinate system d.)Find an algebraic equation for the electric field at z /2
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 rod of Length L lies along the x axis with its left end at the...
A rod of Length L lies along the x axis with its left end at the origin. It has a nonuniform charge density lambda = alpha x, where alpha is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x-axis. (Use the following as necessary: alpha, k_, L, b, and d.) v = A wire having a uniform linear charge density lambda is bent into...
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...
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...
A straight copper wire lies along the x-axis and has current of I = 14.5 A...
A straight copper wire lies along the x-axis and has current of I = 14.5 A running through it in the +x-direction. The wire is in the presence of a uniform magnetic field, perpendicular to the current. There is a magnetic force per unit length on the wire of 0.130 N/m in the −y-direction. (a) What is the magnitude of the magnetic field (in mT) in the region through which the current passes? mT (b) What is the direction of...
A circular loop of wire, centered at the origin, lies in the xy plane. The loop has a radius of 1...
A circular loop of wire, centered at the origin, lies in the xy plane. The loop has a radius of 10.0cm. A cylindrical magnet (radius 0.5 cm and length-5 cm) starts out at rest with its primary axis along the z-axis. The bottom tip of the magnet is a north-pole and is situated at z 8 cm. The magnet is dropped straight down so that it falls north- pole down and it goes straight through the center of the loop....
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 straight copper wire lies along the x-axis and has current of I=15.6 A running through it in the +x-direction
A straight copper wire lies along the x-axis and has current of I=15.6 A running through it in the +x-direction. The wire is in the presence of a uniform magnetic field, perpendicular to the current. There is a magnetic force per unit length on the wire of 0.117 N / m in the -y-direction.(a) What is the magnitude of the magnetic field (in mT ) in the region through which the current passes?(b) What is the direction of the magnetic...
A wire of length L lies along the x-axis with the center of the wire at the origin. The wire carries current I in the negative x-direction. Part A What is the expression for the magnitude of the magnetic field B due to the current in the wire at the point y = L/2 on the y-axis? Make sure the quantities you enter match the ones given in the problem exactly. ΠΙ ΑΣΦ ? B = Submit Request Answer
A charged rod of length L lies along the z-axis, centered at the origin It has a charge distribution: lambda(z) [\lambda_0 * z]/L a.) What coordinate system should be used to describe this system? Explain. b.) What is the total charge Q on the rod? c.) Find an equation for the electric field for (x, y, z), use any coordinate system d.)Find an algebraic equation for the electric field at z /2
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 rod of Length L lies along the x axis with its left end at the origin. It has a nonuniform charge density lambda = alpha x, where alpha is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x-axis. (Use the following as necessary: alpha, k_, L, b, and d.) v = A wire having a uniform linear charge density lambda is bent into...
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...
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...
A circular loop of wire, centered at the origin, lies in the xy plane. The loop has a radius of 10.0cm. A cylindrical magnet (radius 0.5 cm and length-5 cm) starts out at rest with its primary axis along the z-axis. The bottom tip of the magnet is a north-pole and is situated at z 8 cm. The magnet is dropped straight down so that it falls north- pole down and it goes straight through the center of the loop....
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.
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