2.20P) Find the magnetic dipole moment of two small circular loops of radius a that each carries current I. Calculate the magnetic vector potential and B field at a distant point r of the circular loops by using the magnetic dipole moments (d<

2.20P) Find the magnetic dipole moment of two small circular loops of radius a that each carries current I. Calculate the magnetic vector potential and B field at a distant point r of the circular loops by using the magnetic dipole moments (d<

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...

See similar textbooks

Related questions

Q: A loop of area 20×20 cm is in a uniform 10 mT magnetic field. If the flux through the loop is 10.0…

Q: A toroidal solenoid with 200 turns of wire and a mean radiusof 3.0 cm carries a current of 0.3 A.…

A: (a) Consider the magnetic field induced in the core be B, the part of the magnetic field due to the…

Q: The Tethered Satellite discussed in this module is producing 5.00kV and a current of 10.0A flows.…

Q: A particle of charge q moves in a circular path of radius rperpendicular to a uniform magnetic field…

A: Charge = q magnetic field = B radius = r

Q: A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld given…

Q: O In the hque, a= 2om, b- 4 cm, ard 1=24 Take the unt vector Br X axis to 1o fight of page, the one…

Q: (a) What is the velocity of a beam of electrons that goundeflected when passing through crossed…

A: Electric field, E = 1.88 x 104 V/m magnetic field, B = 2.60 x10-3 T

Q: In a certain cyclotron a proton moves in a circle of radius 0.500 m.The magnitude of the magnetic…

Q: Q/a circular file, the number of turns is 100 and a half times 6cm, and a current of intensity is…

A: Solution: given that n = 100 I =20 A

Q: 2R Consider the circular arcs shoun above If to place a long Straignt wire a distance 4R to the…

Q: In which orientation of the particle's velocity relative to the magnetic field can we yield the…

A: When the direction of velocity is parallel to the direction of magnetic field, the magnetic force…

Q: Q. 5: (a)The Hall effect can be used to calculate the charge-carrier number density in a di0 2i 1ed…

A: Hall coefficient is given by, RH = tVHIB ----(1) where, t -…

Q: The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction…

A: Given, magnetic dipole moment, μ = 2.2×10-23 JTdistance, r = 12 nm

Q: 2. A magnetic field B= Bi+B,j+ B.k whose components are Bx = Asin(@t-kx), By = Aykcos(ot-kx), B:= 0…

Q: (a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a…

Q: Let E be the electric field of magnitude 6.0x10^6 N/C and B be the magnetic fi electron is…

A: Given: Electric field strength, E = 6 x 106 N/C Magnetic field strength, B = 0.83 T Voltage, V =…

Q: The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction…

Q: A metal bar slides to the right under the action of an external force Fext, on a pair of parallel…

A: Electromagnetic Induction or Induction is a process in which a conductor is put in a particular…

Q: 2. A conducting structure seen in figure carries uniform and direct current I is inside a magnetic…

Q: E and Express the force F felt by a particle inside the beam as a function of B = v/c. What effect…

A: In this question we have to express the force F felt by a particle inside the beam as a function of…

Q: What are the measured components of the orbital magnetic dipole moment of an electron with (a)ml=3…

Q: Which of the followings is not true? O We can define a magnetic dipole moment for both a current…

A: Solution: to find whether the statement are true or false

Q: an electron accelerated from rest through potential difference V1 1.00 kV enters the gap between two…

A: The equation for the kinetic energy of the electron is given by,

Q: Q. 5: (a)The Hall effect can be used to calculate the charge-carrier number density in a conductor.…

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: "In a certain cyclotron a proton moves in a circle of radius 0.50 m. The magnitude of the magnetic…

A: The given information in the question is as follows, r=0.50 mB=1.2 T The frequency of the oscillator…

Q: Part A 104 A current circulates around a 2.50-mm-diameter uperconducting ring. What is the ring's…

Q: The vector potential in free space is given as A⃗ =z^20ρ2z. In that case a) Which of the following…

A: The vector potential in free space is given as : (a) The magnetic flux density is given by : The…

Q: The potential difference V(t) between parallel plates shown above is instantaneously increasing at a…

Q: y In one portion of a synchrotron, electronstraveling at 2.99 * 108 m>s enter a region of uniform…

A: (a) When an electron enters in the uniform magnetic field with velocity v it experiences a Lorentz…

Q: Q2. The vector potential of a single magnetic dipole m is given by: Ä(r) = Ho m x f" [Here, " =F- |…

A: The vector potential of a single magnetic dipole m is

Q: The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction…

A: magnetic dipole moment 1.2 x 10-23 J/T,

Q: What is the gyro-frequency of an electron trapped on a magnetic field line if the magnetic field…

Q: two infinite sheets carrying currents are parallel to each other in xy plane, and th distance L,…

A: We know that We have given that the two infinite sheets carrying the current are parallel to each…

Q: In the figure, an electron accelerated from rest through potential difference V1-1.26 kV enters the…

Q: Q 2: A stationary charged particle is subjected to a magnetic field of (1), what is the Larmor…

A: Given, Magnetic Field, B= 1T v=0 m/s Larmor radius is the radius of gyration of a moving charged…

Q: Two long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end…

A: Part A:

Q: Q3. The vector potential of a single magnetic dipole m is given by: µo ñ x î" Ã(r : pl12 [Here, " =…

A: Magnetic flux density B(r→) is a vector field . And it can be written as the curl of a vector field…

Q: (A) If the current-carrying wire is made into a loop of radius 6.70 cm with 3.146 A current flowing…

Q: Consider a current-carrying wire of length L carrying a current of magnitude I from left to right.…

A: According to the Biot-savart’s law, the magnetic field due to small element of the conductor having…

Q: Consider an infinitesimal wire of width da at position x, magnetic field for this sheet of current…

A: given B=μ0iπatan-1a2d we need to check above magnetic field in limiting cases

Q: A 0.5m long straight conductor wire placed on the z-axis carries a current of 10A. If B=-r0,1T in…

A: Given - L=0.5m I= 10A B= -0.1T

Q: Q.8 Find the B field corresponding to the magnetic vector potential cosaz пу TEX A == sin¬ 2

A: We have magnetic vector potential given by A→=sin(πx/2)cos(πy/2)z^. We know that magnetic field B is…

Q: a = 2 m radius wire +z towards J, = -A current with a constant current density of (A/m 2 )b Зт ,…

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

electromagnetic theory

2.20P) Find the magnetic dipole moment of two small
circular loops of radius a that each carries current I. Calculate
the magnetic vector potential and B field at a distant point r
of the circular loops by using the magnetic dipole moments
(d<<r).
->

Interaction between an electric field and a magnetic field.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

Repeat the previous problem, but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where Earth’s field is north, but at an angle 45.0° below the horizontal and with a strength of 6.0105T.
Give the conditions under which magnetic vector and scalor potentials are defined?
A proton finds itself doing inform circular motion of 1.2 cm rudius due to a uniform 4.5 tesla magnetic field perpendicular to the plane of the circle. a. at what uniform speed is the proton moving? b. what is the frequancy of its cyclotron motion, in hertz?
The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 11 nm away, along a dipole axis, from an atom with magnetic dipole moment 1.9 × 10-23 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field.
A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is .
A 3 C charged particle is moving at 1000 m/s, and is subject to a magnetic field of 500 micro-Tesla. What is the magnitude of the magnetic force, in N, acting on it?
(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) What happens to a ferromagnetic material when it is placed in a magnetic field?
Find the z-component of magnetic field dB? Answer should be on the 2nd pic.
Calculate the magnetic field and vector magnetic potential on axis resulting form z-directed magnetic dipole located at z=z0
A proton moves in a circular orbit of radius 44 cm, in an extermal magnetic field with velocity 1.75x10, (Given the mass of proton 1.67x10ka) Calculate the magnetic field strength in tesla?
Consider a current-carrying wire of length L carrying a current of magnitude I from left to right. What is the magnetic field contribution dB⃗ at point P, with coordinates (x,y), due to the current element dl→ at point A, with coordinates (a,0)? Assume that y is positive.
What is the magntiude of the integral of B over dl for part c? Enter in your answer in micro-T*m. Assume that all currents are 14.7 A instead of what the textbook has noted.