(1 point) In free space, a toriod, having a cross-section of a square of side cm,...
Consider a toroid with a rectangular cross section of 1 cm by 1 cm. The mean radius is 9 cm. Into this toroid, there is cut a 1.5 mm air gap. The toroid has 100 turns of wire. The permeability of the magnetic material is 3500 times the permeability of free space. Two windings are placed on the device such that positive current in one winding will ten1 to produce negative flux in the other winding. Suppose winding 1 has...
A toroid having a rectangular cross section (a =2.00 cm by b=3.00 cm) and inner radius R=3.65 cm consists of 500 turns of wire that carries a sinusoidal current l=Imax sin wt, with Imax=49.0 A and a frequency f= w/ 2 π=60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as s function of time.
A toroid having a rectangular cross section (a = 2.00 cm by b-3.00 cm) and inner radius R = 3.60 cm consists of 500 turns of wire that carries a sinusoidal current 1-1 a sin(wt), with Imax-53.5 A and a frequency f= ω/2π = 60.0 Hz. A coll that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as a function of tlme. v cos(cot)
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 square, single-turn wire coil L = 1.52 cm on a side is placed inside a solenoid that has a circular cross-section of radius r = 2.79 cm, as shown in the figure below.The solenoid is 18.0 cm long and wound with 107 turns of wire. If the current in the solenoid is 3.38 A, find the flux through the coil.If the current in the solenoid is reduced to zero in 3.37 s, calculate the magnitude of the average induced...
Assume that the air-core toroid has a circular cross-section of radius 4 mm. Find the inductance of the toroid if there are 3500 turns and the mean radius is r = 40 mm. If the flux density is 0.6 T, determine the flux from the circular cross-section of radius 4 mm. 4. (15 Marks)
A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of the loop is negligible. When entering the field the coil experiences a magnetic force to the left. When leaving the field the coil experiences a magnetic force to the right. Upon entering the field,...
A toroidal solenoid has 540 turns, cross-sectional area 6.80 cm^2, and mean radius 4.20 cm. Calcualte the coil's self-inductance. If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil. Please help with this homework question. Thank you very much.
A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 24.5 cm long and wound with 104 turns of wire. (a) If the current in the solenoid is 2.30 A, what is the magnetic flux through the square loop? T · m2 (b) If the current in the...