(i) Find the magnitude of magnetic field inside a long, ideal solenoid of length L, with...

(i) Find the magnitude of magnetic field inside a long, ideal solenoid of length L, with N turns and carrying current i. Demonstrate your knowledge of Ampere’s Law by constructing any relevant Amperian loop and integrating along its length. (ii) Two long solenoids that are coaxial, each carry current i, but in opposite directions. The inner solenoid with radius a has n1 turns per unit length, while the outer solenoid with radius b has n2 turns per unit length. Now apply the magnetic field expression you just derived to find the magnetic field inside the inner solenoid.

Expert Solution

genius_generous answered 9 months ago

Magnetic Field inside a Very Long Solenoid

The solenoid has length L, diameter D, and n turns per unit length with each carrying current .It is usual to assume that thecomponent of the current along the z axisis negligible.(This may be assured by winding two layers of closely spaced wiresthat spiral in opposite directions.)From symmetry considerations it is possible to show that farfrom the ends of the solenoid, the magnetic field isaxial.Which figure shows the loop that the must beused as the Ampèrean loop for finding Bz(r) for...

find the field inside and outside of an infinitely long solenoid carrying a steady current I....

find the field inside and outside of an infinitely long solenoid carrying a steady current I. find the vector potential of the solenoid given in question.

To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's l...

To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law, written ∮B⃗ (r⃗ )⋅dl⃗ =μ0Iencl, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The solenoid has length L, diameter D, and n turns per unit length with each carrying current I. (Figure 1) It is usual to assume that the component of the current...

1. A long cable has current I. If the magnitude of the magnetic field at a...

1. A long cable has current I. If the magnitude of the magnetic field at a distance d is B, determine the magnitude of the magnetic field at a distance 2d from the cable. a. 2B b. 8B c. 4B d. B / 2 e. B / 4 QUESTION 2 1. A circular cable consists of 5 loops with a diameter of 1.0 m each. The cable is placed in an external magnetic field of 0.5 T. When the cable...

1.) the magnitude of the magnetic field outside of a solenoid is: -almost zero -depends on...

1.) the magnitude of the magnetic field outside of a solenoid is: -almost zero -depends on the type of wire used -depends on the radius 2.) two wires emerge from a clock face at 90° from the face. One wire is at 3 o’clock and has a current of 2.5 A coming out of the clock face. The other is at 9 o’clock and has a current of 5.0A coming out of the clock face. What can we say about...

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field...

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field strength inside the solenoid is ?=?0??.

Magnetic field in a solenoid is what

The magnetic field inside a superconductive magnet is 6T. The length of the coil body is...

The magnetic field inside a superconductive magnet is 6T. The length of the coil body is l = 30cm and the diameter d = 2cm. The coil is made of 1km long cable of a superconductive Nb-Ti alloy and is found surrounded by liquid Helium (T=4.2K) and therefore in the superconductive phase. a) Determine the number of windings b) Determine the current in the coil c) Determine the electrical Power required c

Using Ampere’s law derive the formula for the magnetic field for the infinitely long solenoid of...

Using Ampere’s law derive the formula for the magnetic field for the infinitely long solenoid of radius R.

If the magnitude of the magnetic field is B what must the magnitude of this field...

If the magnitude of the magnetic field is B what must the magnitude of this field be to cancel out the gravitational force on the wire?

Question