Derive the formula for the magnetic field of a solenoid using Ampere’s law. Be sure to...

Derive the formula for the magnetic field of a solenoid using Ampere’s

law. Be sure to draw a diagram showing the solenoid, magnetic field and Amperean loop.

Explain how you use the loop to compute the enclosed current and circulation of the B field.

(On which sides is the dot product of B and dl zero, and why?)

Expert Solution

genius_generous answered 2 hours ago

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.

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??.

Derive the energy density for the magnetic field in a solenoid and use that result along...

Derive the energy density for the magnetic field in a solenoid and use that result along with the result for the electric energy density derived in class to find the time dependent Poynting vector.

Use Ampere’s Law to determine the magnetic field as a function of r (distance from the...

Use Ampere’s Law to determine the magnetic field as a function of r (distance from the symmetry axis) both inside and outside an infinitely long cylinder of radius R, carrying a current Iothat is(show all relevant steps and any symmetry arguments in part a, then you don’t have to repeat them in part b): a) uniformly distributed over the surface of the cylinder (i.e., at r = R) b) uniformly distributed throughout the cylinder

Magnetic field in a solenoid is what

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...

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) Does the magnetic field outside solenoid depend on the distance from solenoid? 2) How the...

1) Does the magnetic field outside solenoid depend on the distance from solenoid? 2) How the magnetic field inside solenoid depends on the solenoid diameter? 3) What would happen to the magnetic field inside solenoid if it is bent? 4) Can you identify North and South poles of the solenoid you studied? 5) How can you prove that the magnetic field inside solenoid is uniform?

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...

Carefully measure the magnetic field at the end of the solenoid. How does it compare to...

Carefully measure the magnetic field at the end of the solenoid. How does it compare to the value at the center of the solenoid? Try to prove what the value at the end should be.

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