A toroid that has a mean radius equal to 28.5 cm and circular loops with radil...
please make sure you have the right answer. A toroid that has a mean radius equal to 28.5 cm and circular loops with radii equal to 1.50 cm is wound with a superconducting wire. The wire has a length equal to 1000 m and carries a current of 360 A. (a) What is the number of turns of the wire? ...... (b) What is the magnetic field strength and magnetic energy density at the mean radius? ......... T ....... MJ/m3...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
A very long solenoid with a circular cross section and radius r= 6.10 cm with n= 1.50E+4 turns/m has a magnetic energy density uB= 6.20 mJ/m3. A. What is the current in the solenoid? B. What is the total energy stored in the solenoid if its length is 0.620 meters? (Neglect end effects.)
A long cylindrical wire has a radius equal to 2.2 cm and carries a current of 75 A uniformly distributed over its cross-sectional area. Find the magnetic energy per unit length within the wire. (Use the following as necessary: π and μ0.) U'm = mJ/m
A coil of 40 turns of wire is wound about a circular form. The average diameter of the individual loops is 30.5 cm. Calculate the magnetic moment of the coil when it carries a current of 2.50 A.
6. A long straight wire with circular cross section and radius 1.5 cm carries a 1.2 A current uniformly distributed throughout the wire. a) What is the current density in the wire? b) What is the magnetic field as a function of r at a point inside the wire? c) What is the magnetic field as a function of r at a point outside the wire?
a. A coil of wire with 209 circular turns of radius 3.10 cm is in a uniform magnetic field along the axis of the coil. The coil has R = 41.5 Ω . At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.149 A in the coil? b. A closely wound rectangular coil of 90.0 turns has dimensions of 30.0 cm by 47.0 cm . The plane of the coil is...
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
1) A 179‑turn circular coil of radius 3.55 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 13.7 Ω resistor to create a closed circuit. During a time interval of 0.121 s, the magnetic field strength decreases uniformly from 0.643 T to zero. Find the energy, in millijoules, that is dissipated in the resistor during this time interval. energy: mJ 2) You decide...
A solenoid of length 2.00 cm and radius 0.550 cm has 41 turns. If the wire of the solenoid has 1.35 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: T Ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: J/m3 What is the total magnetic energy inside the solenoid? total magnetic energy: J