Two other systems commonly used in the labs are solenoid and toroid. Use Maxwell laws derive formulas for the magnetic field H inside and outside
a) an infinitely long solenoid with radius r and n turns per unit lenght
b) toroidal coil with inner radius r1, outer radius r2 and N turns
c) Is the field uniform inside the toroid
Two other systems commonly used in the labs are solenoid and toroid. Use Maxwell laws derive...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight solenoid. Over the cross-sectional area of the toroid the magnetic field is stronger near the inner HoNI radius of the torus and somewhat weaker near the outer radius according to B(r) 2Tr So we cannot technically use the simple expression P2 = BAfor the flux through one turn of wire. Nevertheless, the textbook uses an approximate constant value for an equivalent uniform magnetic field...
Problem 4: Consider a toroidal solenoid shown below. (a) Using Ampere's Law derive the equation for the magentic field inside the coil. (b) What number of turns will create a magnetic field of B 3.75.10 .T along a loop with radius 14.0.cm from the center of the coil. 12.0.cm s 15.0 cm 1.50-A
Two long coaxial solenoids each carry current I but in opposite directions as shown in the figure below. The inner solenoid of radius R1 has n1 turns per unit length, and the outer solenoid with radius R2 has n2 turns per unit length. Find expressions for the magnetic fields inside the inner solenoid, between the two solenoids, and outside both solenoids. (Use any variable or symbol stated above along with the following as necessary: μ0. Do not substitute numerical values;...
Two long coaxial solenoids each carry current I but in opposite directions as shown in the figure above. The inner solenoid of radius R1 has n1 turns per unit length, and the outer solenoid with radius R2 has n2 turns per unit length. Find expressions for the magnetic fields inside the inner solenoid, between the two solenoids, and outside both solenoids. (Use any variable or symbol stated above along with the following as necessary: ?0. Do not substitute numerical values;...
I wanna know how to solve theses.. professor.. 8. Inside a perfect conductor, there is no electric field, i.e., E =0.(20) a. Show that the electrostatic potential is constant in the surface of the conductor. (5) b. Show that the electric field just outside the conductor is perpendicular to its surface. (5) c. There is a hollow (vacuum) cavity lying inside a conductor. What is the electric field in the hollow volume? (10) 9. There is an infinitely long solenoid...
(a) (4 marks) Two long, parallel, straight wires spaced d = 0.06 m apart carry currents 4 A and 7 A in opposite directions. Copy the diagram at right showing the two wires and indicating the direction of the currents in each. (i) Draw a vector indicating the direction of the magnetic field caused by the first wire at the position of the second wire. (ii) Indicate the direction of the force experienced by the second wire due to this...
1) [7 marks] A long straight wire hangs vertically through the middle of a metal basketball hoop of radius R = 23.0 cm. The hoop is horizontal. The wire carries a current of I = 1.56 A, moving vertically upward from the ground toward the sky. a) Sketch the magnetic field inside the hoop, as viewed from above it. b) What is the magnitude of the magnetic field at the hoop's location? c) Is there a net magnetic flux through...