The magnetic field inside a superconducting solenoid is 4.0 T.The solenoid has an inner radius of 3.2 cm and a length of 25.0 cm.Determine (a) the magnetic energy density in the field and (b) the energystored in the magnetic field within the solenoid. diagram must be inclded if needed please

The magnetic field inside a superconducting solenoid is 4.0 T.The solenoid has an inner radius of 3.2 cm and a length of 25.0 cm.Determine (a) the magnetic energy density in the field and (b) the energystored in the magnetic field within the solenoid. diagram must be inclded if needed please

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 48P

See similar textbooks

Related questions

Q: An infinitely long plane located in z=0 which its current density is Í, = êyls . What is the…

Q: You have a square loop with each side of length 'a' and a circular loop with radius 'a'. Both of…

Q: 2. Calculate the expected ratio of the magnetic field between the ends of the solenoid (x = L/2 or –…

Q: In the figure, a conductor carries 6.0 A along the closed path obcdefyha running along 8 of the 12…

Q: A certain superconducting magnet in the form of a solenoid of length 0.58 m can generate a magnetic…

Q: A non-magnetic conducting wire of Radius R carries a aurrent I = 2A which is uniformly distributed…

A: Current flowing through wire I = 2A μo = 4π×10-7 (Tm/A) Magnetic energy per unit length U = ?…

Q: A spherical shell of radius R carries a constant surface charge density sigma and is rotating about…

A: Image-1

Q: A very large, superconducting solenoid such as one used in MRI scans, stores 1.00 MJ of energy in…

Q: A 0.50 T magnetic field is applied to a paramagnetic gas whose atoms have an intrinsic magnetic…

Q: An electron in a magnetic field moves counterclockwise on a circle in the xy-plane , with a…

A: Given and known values: Frequency f = 1.2 × 1012 Hz. Mass of electron m = 9.1 × 10-31 kg Charge of…

Q: y R. The total load of an insulating disk with a radius of R = 40cm is Q = 5C. Q load it is not…

A: Radius of disk=r=40 cm=0.4 meter, total charge=Q=5C, Charge density= σ=Ar. To find the constant A:…

Q: A certain superconducting magnet in the form of a solenoid of length 0.360 m can generate a magnetic…

A: Solution: Given: L = length of solenoid = 0.360 m B = magnetic field generated inside the solenoid =…

Q: A circular coil lays flat on the yz plane. It carries a current flowing in a counterclockwise…

A: A circular coil lays flat on the yz plane. It carries a current flowing in a counter-clockwise…

Q: where

A: Whenever a current-carrying conductor/loop is placed in a magnetic field, it experiences a force…

Q: A certain superconducting magnet in the form of a solenoid of length 0.32 m can generate a magnetic…

Q: consider a long solenoid with non-magnetic core which has 70turns per cm and diamter of 6cm. given…

Q: A very long coaxial cylindrical cable is composed of an inner solid cylinder of radios 1Rand an…

A: The magnetic field around the wire can be calculated using Ampere’s law. Then the magnetic field…

Q: minimum when the angle between the magnetic moment and magnetic field is (h) 30°

Q: Using the magnetic moment, you found to calculate the current using µ =N I (Area). Take the radius…

A: Given, Number of turns = 1 Magnetic moment = 2.00 × 10^-8

Q: A toroidal solenoid with 400 turns of wire and a mean radius of 6.0 cm carries a current of 0.25 A.…

A: Given values: Number of turns of the solenoid, N=400 Mean radius, R=6.0 cm Current, I=0.25 A…

Q: Consider a charged particle of charge q and mass m with a kinetic energy K = 100 eV that moves in a…

Q: A closely wound solenoid of 800 turns and area of cross-section 2.5 × 10–4 m2 carries a current of…

A: Number of turns in the solenoid, n = 800 Area of cross-section, A = 2.5×10−4 m2 Current in the…

Q: A closely wound solenoid of 2000 turns and area of cross-section 1.6×10 −4 m 2 carrying 4.0 A…

A: Given : Number of turns on the solenoid, n = 2000 Area of cross-section of the solenoid, A =…

Q: A non-magnetic conducting wire of Radius R caries a aurrent I = 3A which is %3D uniformly…

Q: Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed…

Q: A short bar magnet of magnetic moment m = 0.32 J-1 is placed in a uniform magnetic field of 0.15T.…

A: Given: Moment of the bar magnet, M= 0.32 J T-1 External magnetic field, B= 0.15 T

Q: A solenoid with 500 turns, 0.20 m long, carrying a current of 4.0 A and with a radius of 10-³ m will…

Q: Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed…

A: The formula to calculate the magnitude of magnetic field is, B=μ0Iπd Thus, the current will be,…

Q: The saturation magnetization Mmax of the ferromagnetic metal nickel is 4.70* 10^5 A/m. Calculate the…

A: The saturation magnetization of nickel,

Q: A circular wire loop of 50 turns with a diameter of 20 cm lies in the z-x plane with a magnetic…

A: (a) The magnetic moment of the coil can be determined as follows. M=NIA=NIπd24=50100 mAπ20…

Q: A certain superconducting magnet in the form of a solenoid of length 0.500 m can generate a magnetic…

Q: The magnetic field inside a superconducting solenoid is 4.50 T. The solenoid has an inner diameter…

A: Given data The magnetic field is B=4.50 T The diameter is d=6.2 cm The length of solenoid is L=26.0…

Q: 1) An electron with a speed of 16 xlo m/s is projected 3. along the pasitive X direction înto…

Q: The maximum current in a superconducting solenoid can beas large as 3.75 kA. If the number of turns…

A: Given: The maximum current in the solenoid = 3.75 KA Number of turns per meter in the solenoid =…

Q: closely wound solenoid of 800 turns and area of cross section 2.5 x 10-4 m² carries a current of 3.0…

A: Given that - number of turns in the solenoid area of the cross sectional current carried by…

Q: P12B.8 In a liquid, the dipolar magnetic field averages to zero: show this result by evaluating the…

A: As given in the question, the dipolar magnetic field is a liquid. Consider a volume element dV…

Q: A bor magnet whase mognetic moment points în vertical dropped înto medolic cylinder. What happens?…

A: Given: A bar magnet with dipole moment aligned in vertical axis. A copper metal cylinder. Dipole…

Q: A certain superconducting magnet in the form of a solenoid of length 0.30 m can generate a magnetic…

A: Given data: The length of solenoid is L=0.3 m. Magnetic field is B=10 T. Current carried I=80 A.…

Q: You have a square loop with each side of length 'a' and a circular loop with radius 'a'. Both of…

Q: The magnetic scalar potential due to a magnetic a at a point on its axis situated at a distance of 2…

A: GivenMagnetic dip[ole is dituated at a distance ,r=20 cm from centreThe magnetic scalar Potential…

Q: A certain superconducting magnet in the form of a solenoid of length 0.350 m can generate a magnetic…

Q: The magnetic moment pm = 1 (A / m2 ) has the angle O = 30 to the magnetic field. The torque acting…

Q: Determine the magnetic field on the central axis at the opening of a semi-infinite solenoid. (That…

A: According to the Ampere's law, ∮B.dl=μ0NI.................(1) Where, B=magnetic field…

Q: determine the direction of the magnetic moment given that a circular coil lays flat on the yz plane…

Q: Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed…

A: Maximum magnetic field, Bmax = 0.100 T Diameter of the wire = 2.0 mm Radius of the wire, r = 1.0 mm…

Q: A certain superconducting magnet in the form of a solenoid of length 0.490 m can generate a magnetic…

A: Given: length of solenoid, L = 0.490 m Required strength of magnetic field, B = 9.20 T Current…

Q: A charge q is distributed uniformly around a thin ring of radius r.The ring is rotating about an…

A: The charge,

Q: A closely wound solenoid of 800 turns and area of cross section 2.5 × 10-4 m2 carries a current of…

Q: consider a long solenoid with non-magnetic core which has 70turns per cm and diamter of 6cm. given…

Question

The magnetic field inside a superconducting solenoid is 4.0 T.
The solenoid has an inner radius of 3.2 cm and a length of 25.0 cm.
Determine (a) the magnetic energy density in the field and (b) the energy
stored in the magnetic field within the solenoid.

diagram must be inclded if needed please

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Determine the magnetic field on the central axis at the opening of a semi-infinite solenoid. (That is, take the opening to be at x = 0 and the other end to be at x= .)
A superconducting wire of diameter 0.25 cm carries a current of 1000 A. What is the magnetic field just outside the wire?
Is B constant in magnitude for points that lie on a magnetic field line?
A nonconducting hard rubber circular disk of radius R is painted with a uniform surface charge density tr. It is rotated about its axis with angular speed . (a) Find the magnetic field produced at a point on the axis a distance h meters from the center of the disk, (b) Find the numerical value of magnitude of the magnetic field when =1C/m2 , R = 20 cm, h = 2 cm, and magnetic field of Earth, which is about 1/2 Gauss. =400rad/sec , and compare it with the magnitude of
How is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?
The magnetic dipole moment of the iron atom is about 2.11023Am2 . (a) Calculate the maximum magnetic dipole moment of a domain consisting of 1019 iron atoms, (b) What current would have to flow through a single circular loop of wire of diameter 1.0 cm to produce this magnetic dipole moment?
The magnetic field between the poles of a horseshoe electromagnet is uniform and has a cylindrical symmetry about an axis from the middle of the South Pole to the middle of the North Pole. The magnitude of the magnetic field changes as a rate of dB/dt due to the changing current through the electromagnet, Determine the electric field at a distance r from the center.
A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils, (a) Find tire magnetic field at any point on the z-axis shown in the accompanying figure, (b) Show that dB/dz and d2Bdz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?
A solenoid has a ferromagnetic core, n = 1000 turns per meter, and I = 5.0 A. If B inside the solenoid is 2.0 T, what is for the core material?
The current in a long solenoid of radius 3 cm and 20 turns cm is varied with time at a rate of 2 A/s. Find the electric field at a distance of 4 cm from die center of the solenoid.
A long, straight wire of radius R caries a current I that is distributed uniformly over the cross-section of the wire. At what distance from the axis of the wire is the magnitude of the magnetic field a maximum?