an infinitely long solenoid consisting of m closely wound turns per unit length on a cylinder...
an infinitely long solenoid whose axis point out of the board has a closely wound turns per unit length on a cylinder of radius R and steady current I. a charged particle located inside the solenoid is moving at speed Vo. determine the direction of motion such that the magnetic force is maximum.
Consider a long, closely wound solenoid with 10,000 turns per meter. What current, in amperes, is needed in the solenoid to produce a magnetic field inside the solenoid, near its center, that is 104 times the Earth’s magnetic field of 4.85 × 10-5 T?
A long solenoid of cylindrical shape, having n turns of wire per unit length, carries a current I. Find the magnetic force acting on a small area, A, of the solenoid surface. Neglect magnetic permeability of the material inside the solenoid
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such that the field inside is approximately uniform and the field outside is zero. Find the radial force on one turn of the winding, per unit length of circumference, from the magnetic energy. (a) Assume that the current I is maintained constant by a batterv (b) Repeat assuming that the flux remains constant and the system is isolated (with superconducting windings).
2. A long solenoid carrying a time-dependent current I(t) is wound on a hollow cylinder whose axis of symmetry is the z-axis. The solenoid's radius is a, and it has n turns per metre. (a) * Write down the magnetic intensity H(ที่ t) and magnetic field B(r,t) everywhere. What is the energy density in the magnetic field inside the solenoid? (b Find the electric field E(F,t) everywhere using Faraday's law in integral form. (c) * Find the magnetic vector potential...
A right circular solenoid of finite length L and radius a has N turns per unit length and carries a current I. Show that the magnetic induction on the cylinder axis in the limit NL→∞ Bz= μ₀NI(cosθ₁+cosθ₂)/2 where the angles are defined in the figure. A right-circular solenoid of finite length L and radius a has N turns per unit length and carries a current I. Show that the magnetic induction on the cylinder axis in the limit NL-oo is...
A harticle with mass, m, and charge q, executes uniform circular motion, inside an ideal solenoid under the influence of the magnetic field generated by the solenoid. The harticle rotates in the clockwise sense when viewed from the toh. If the radius of rotation of the harticle is Rs find the linear velocity of the harticle. The solenoid carries a current I in the anti-clockwise direction when viewed from above and has n turns her unit length.
6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid. Use Biot-Savart law to derive the magnetic field in the center of the the solenoid. Verify that it agrees with the result from the Ampere's law. You can approximate the solenoid as infinitely long 6. A very long solenoid has a density of coils n turns per unit length. We apply a current I through the solenoid....
Q-2) The infinitely long cylinder volume r < a carries a steady electric current of unknown density JAmps/m2) oriented through z direction = Jêz) as shown in the figure. There is no current outside of the cylinder. All space is vacuum. The magnetic flux density vector for r < a is given as B = epHoGr3 Tesla). Here, G is a constant. a) Find j b) Find B forr a Ho Ho Figure 2. The geometry of the problenm Q-2)...