A permanent magnet has the shape of a right circular cylinderof length L. If the magnetization M is uniform and has thedirection of the cylinder axis, find the magnetization currentdensities Jm and jm. Compare the current distribution with that ofa solenoid.

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A tightly wound solenoid 20.9 cm long has 405 turns and carriesa current of 4.00 A such that its axial field is in the zdirection.
(a) Neglecting end effects, find B and B_app at thecenter when there is no core in the solenoid.

B = ? mT
B_app = ? mT

(b) Neglecting end effects, find B and B_app at thecenter when there is an iron core with a magnetization M =1.2x10⁶ A/m.

B = ? mT
B_app = ? mT

1. A long solenoid of length 8 m with a cross-sectional areaof5.0 x 10^-5 m² contains a total of52,000turns.

A) Calculate the self-inductance of the solenoid, assumingthatthe core of the solenoid is air.

B) If the current in the winding starts at 0 A and isincreasedsteadily to 1.5 A in a time of 0.20 sec, what is the EMFinduced inthe solenoid?

2. A permanent bar magnet has a field strength of 1T.Supposewe have a circular wire loop of radius R= 0.50 cm that iscarryinga current of I Amperes.

What current is required to make a magnetic field at thecenterof the wire loop that is equal to the field of the barmagnet?

thank you so much!

A long solenoid has 1400 turns per meter of length and carries a current of 3.0A. A small circular coil of wire is placed inside the solenoid with the normal to the coil orientated at an angle of 90.0 degrees with respect to the axis of the solenoid. The coil consists of 46 turns, has an area of 1.2e-3 m^2, and carries a current of 0.60A. Find the torque exerted on the coil.

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A permanent magnet has the shape of a right circular cylinderof length L. If the magnetization M is uniform and has thedirection of the cylinder axis, find the magnetization currentdensities Jm and jm. Compare the current distribution with that ofa solenoid.

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Physics: Principles with Applications

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