Consider three solenoids differing in the number n of turns per unit length, the current i, and thecross-sectional area A, as follows:. Solenoid 1: n 2n1, i i1, A 2A1.. Solenoid 2: n n1, i 2i1, A A. Solenoid 3: n ni, i i1, A-6A1.Rank the solenois according to the magnetic energy density within them, greatest first. Justifyyour answers.

The magnetic energy density is,

Answered: Consider three solenoids differing in…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 52P: A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current...

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A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current through the windings is 4.0 A, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid, (b) 10.0 cm from one end of the solenoid, and (c) 5.0 cm from one end of the solenoid? (d) Compare these answers with the infinite-solenoid case.
A solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current through the solenoid is 10 A, the magnetic field inside it is 2.0 T. For this current, what is the permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?
Determine the magnetic field (in terms of I, a, and d) at the origin due to the current loop in Figure P30.17. The loop extends to infinity above the figure.
A proton moving horizontally enters a region where a uniform magnetic field is directed perpendicular to the proton's velocity as shown in Figure OQ29.4. After the proton enters the field, does it (a) deflect downward, with its speed remaining constant; (b) deflect upward, moving in a semicircular path with constant speed, and exit the field moving to the left; (c) continue to move in the horizontal direction with constant velocity; (d) move in a circular orbit and become trapped by the field; or (e) deflect out of the plane of the paper?
Singly charged uranium-238 ions are accelerated through a potential difference of 2.00 kV and enter a uniform magnetic field of magnitude 1.20 T directed perpendicular to their velocities. (a) Determine the radius of their circular path. (b) Repeat this calculation for uranium-235 ions. (c) What If? How does the ratio of these path radii depend on the accelerating voltage? (d) On the magnitude of the magnetic field?
A wire of length 1.0 m is wound into a single-turn planar loop. The loop carries a current of 5.0 A, and it is placed in a uniform magnetic field of strength 0.25 T. (a) What is the maximum torque that the loop will experience if it is square? (b) If it is circular? (c) At what angle relative to B would die normal to the circular coil have to be oriented so that the torque on it would be the same as the maximum torque on the square coil?
The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I1= 10 A and I2= 20 A, what is tire magnetic field at point P?
A current of 1.5 A flows through the windings of a large, thin toroid with 200 turns per meter. If the toroid is filled with iron for which =3.0103 , what is the magnetic field within it?
A toroid with a square cross section 3.0cm3.0cm has an inner radius of 25.0 cm. It is wound with 500 turns of wire, and it carries a current of 2.0 A. What is the strength of the magnetic field at the center of the square cross section?
, (a) At what angle 0 is tlie torque on a current loop 90.0% of maximum? (b) 50.0% of maximum? (c) 10.0% of maximum?
The current through a circular wire loop of radius 10 cm is 5.0 A. (a) Calculate themagnetic dipole moment of the loop. (b) What is the torque on the loop if it is in a uniform 0.20-T magnetic field such that p and B are directed at 300 to each other? (C) For this position, what is the potential energy of the dipole?
A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t)=I0sin(t) , where I0and are constants. The solenoid is surrounded by a wire of resistance R that has two circular- loops of radius b with b>a (see the following figure). Find the magnitude and direction of current induced in the outer

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