Question

In: Physics

Two toroids are wound one inside the other. The common major radius is R; the inner...

Two toroids are wound one inside the other. The common major radius is R; the inner toroid has minor radius a, with N1 turns, and the outer one has minor radius b(b>a). with N2 turns.

Current I flows through the windings of the inner toroid first, then back in the opposite sense through the windings of the outer toroid. Find the magnetic field

a) inside the inner toroid;

(b) in the region between the windings;

(c) outside both.

Solutions

Expert Solution


Related Solutions

Two smooth spheres of radius are placed inside a cylinder of radius R. The mass of...
Two smooth spheres of radius are placed inside a cylinder of radius R. The mass of each sphere is M Assume that R < 2r < 2R All answers should be in terms of . R.M and What is the force of the bottom sphere on the top sphere? What is the force of the cylinder wall on the top sphere ?
A coaxial cable is made of two conductors, the inner one has radius a and the...
A coaxial cable is made of two conductors, the inner one has radius a and the outer radius is b, both conductors are seperated by a dielectric material with relative permitivity εr  and conductivity σ , what is the conductance per unit length of this insulating material. Show all steps you followed to obtain the final expression.
A cylindrical capacitor is made of a conducting inner cylinder of radius R and a conducting...
A cylindrical capacitor is made of a conducting inner cylinder of radius R and a conducting shell of inner radius 2R and outer radius 3R. The space in between the inner cylinder and the shell is filled with a uniform dielectric material of dielectric constant k. The inner cylinder and the cylindrical shell carry equal and opposite charges but with charge per unit area of ? on the inner cylinder and -?′on the shell. (a) Find the electric field as...
A very light string is wound around a cylindrical spool of inertia M and radius R....
A very light string is wound around a cylindrical spool of inertia M and radius R. The cylinder rotates on a frictionless horizontal axis with a moment of inertia 1 2MR2 . Attached to the end of the string is a block of inertia m, which pulls on the string and unwinds it from the cylinder, as the block falls. (a)Draw an extended free-body diagram for the cylinder, and a regular free-body diagram for the block. (b)Let m = 5...
What is the area inside the limacon r=1 + 2sin(theta) but outside of the inner loop?
What is the area inside the limacon r=1 + 2sin(theta) but outside of the inner loop?
fred places two circular loops of conducting wire, one large (radius R) and one small (radius...
fred places two circular loops of conducting wire, one large (radius R) and one small (radius r), on a horizontal table such that they are centred at the same point. He arranges the larger loop to carry a constant current I clockwise (when viewed from above). In order to induce a current in the smaller loop, fred then lifts the smaller loop vertically upwards at a constant speed v, without changing its orientation. 1 - Explain why fred is correct...
If the measured power is 18.5 watt, rotational speed is 245 rpm, radius R of inner...
If the measured power is 18.5 watt, rotational speed is 245 rpm, radius R of inner cylinder is 72.5 mm, thickness of liquid is h1 = h2 = 2.35 mm and the height of the fluid is y = 335 mm, determine the viscosity of the viscometer fluid.
1. Two long solenoids are placed in the coaxial position, one inside the other, they have...
1. Two long solenoids are placed in the coaxial position, one inside the other, they have 30 cm and 20 cm diameters, respectively. The outer solenoid is 2 m long with 5000 turns, and carrying a current of 4 A. The inner one is 1 m long with 2000 turns, and carrying a current of 2 A in the opposite sense. Find the magnitude of the magnetic field (in mT) at any point on the solenoid axis inside. A. 10.52...
Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8...
Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8 , if the cylinder temperature is zero in all surface except the bottom circular surface where it is divided two halves , the first is held at T1= 100 c and the other is held at T2=200 c. please use laplace equation and show me the solution with the details of the derivation .
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is...
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is a = 0.1 m and the inner radius of the outer shell is b = 0.2 m. a. What is the capacitance, C, of this capacitor? b. Suppose the maximum possible electric field at the outer surface of the inner shell before the air starts to ionize E max(r=a) = 3.0*10^6 V/m . What is the maximum possible charge on the inner capacitor? c....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT