The figure is of a toroid. Calculate the magnetic field. You can use the integral technique...
Shown in the figure below is a toreid. You can think of a toroid as a long solenoid that has been bent into the shape of a circle. Your toroid has loops, an inner radius of a, an outer radius of b, and is carrying a current of I. Region I: Outside (r>b) B Regione Insiderca) Region It: Middle (arch) Use Ampere's Law to determine the magnetic field in each of these three regions as a function of: Region Region...
consider the toroid in figure 3.55 that is tightly wrapped with N tums of conductive wire. For an Amperian path with radius less than a, no current is enclosed and therefore the field is zero. Likewise, for radius greater than c. the net current enclosed is zero and again the field is zero. Use Ampere's circuital law to find an expression for the magnetic field at radius &, the center of the toroid. Consider the toroid in Figure 3.55 that...
Question 2: Use Ampere's Law to find the magnetic field in the interior of a toroidal solenoid tightly wound with N turns of wire carrying current l. Toroid
12999 3. What is the magnetic field (magnitude and direction) at each of the positions a-c in the figure to the side? What force will each wire experience (per unit length)? 10A 120 cm 4. Consider a current-carrying wire that has been twisted to form a half circle of radius r. Use the Biot-Savart Law to set up an integral for the magnetic field at the center of the circle. As usual, do not solve the integral, but clearly set...
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and outside of a circular toroid, figure below, of major radius R and minor radius a, wrapped with N turns of wire carrying current I. Evaluate for r=R=5cm, a=2cm,N=1000,1=3A
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....
What will be the integration path used in Ampere's law to calculate the magnetic field B? at a distance r from the axis of the inner cylinder? A solid cylindrical conductor is supported by insulating disks on the axis of a conducting tube with outer radius Ra = 6.15cm and inner radius Rb = 3.35cm. (Figure 1)The central conductor and the conducting tube carry equal currents of I = 2.85A in opposite directions. The currents are distributed uniformly over the...
A toroid whose magnetic field is 3 x 10-2 T has a current of 2.0 A. If the magnetic field was determined at a distance of 1.5 cm, find the number of turns of wiring that the toroid has.
(20 points) A 1200-turn solenoid of radius 2.00 cm and total length 16.0 cm has a 1.50 A current a. Find the magnetic field of the solenoid using Ampere's Law. integral.) b. A steel core is inserted into the solenoid. If the magnetic susceptibility of steel is 600, find the magnetization (M) and the total magnetic field of the solenoid. c. Assume each magnetic moment in the steel core is equal to one Bohr magneton, how many magnetic (You need...