A circular wire loop of radius 16.0 cm carries a current of 4.30 A. It is placed so that the normal to its plane makes an angle of 90.0° with a uniform magnetic field ofmagnitude 14.0 T. Calculate the magnitude of the magnetic dipole moment of the loop. (Your result must be in units of A.m2 and include 3 digit after the decimalpoint. Maximum of 5% of error is accepted in your answer. Take n = 3.14.)

A current-carrying loop’s magnetic dipole moment can be represented as, Here, I and A represent the…

Answered: Calculate the magnitude of the magnetic…

Science

Physics

Calculate the magnitude of the magnetic dipole moment of the loop.

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 23P: A wire 2.80 m in length carries a current of 5.00 A in a region where a uniform magnetic field has a...

See similar textbooks

Related questions

Q: What will be the approximate distance between the points where the ion enters and exits the magnetic…

A: Given, The magnetic field of the spectrometer B=0.80 T Speed of the molecule v=2.3×105 m/s mass of…

Q: Consider a circular loop with a 2.50-cm radius in a constant magnetic field of 0.625 T. Find the…

Q: What is the magnitude of the magnetic field at the center of a loop of radius R = 5 cm and carrying…

A: Given data :- Radius R = 5 cm = 0.05 m Current I = 2 A μo/4π = 10-7 T.m/A

Q: where

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

Q: A 36-turn solenoid of length 6.10 cm produces a uniform magnetic field of magnitude 2.40 mT at its…

A: GivenN=36 turnsLength of solenoid ,L=6.10 cm=0.061 mMagnitude of magnetic field ,B=2.40 mT=2.4×10-3…

Q: Find the magnetic field at the center of a square current loop of side l = 50 cm carrying current…

A: Current through the loop is I = 1.5 A Length of each side of the loop is L = 50 cm = 0.50 m

Q: Given the circular coil shown below, calculate the magnitude of: a. Magnetic moment b. Torque on the…

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: What should be the length of an ideal solenoid consisting of 1250 turns for the magnetic field in…

A: The coils that are able to produce magnetic field which is uniform like from a bar magnet , due to…

Q: A straight conductor carrying a current i = 4.9 A splits into identical semicircular arcs as shown…

Q: find the expression for the magnetic field generated by a loop at its center by developing the…

A: If a current is flowing in the wire of length dl then magnetic field at point which is at distance…

Q: You have two coils, one circular with diameter of length 'a' and another square with each side of…

Q: A straight conductor carrying a current i = 4.4 A splits into identical semicircular arcs as shown…

Q: What is the induced electromotive force in a 0.50 m rod moving with a velocity of 1 m/s…

Q: A short bar magnet placed with its axis at 30 degree with uniform external magnetic field of 0.25 T…

A: Given value--- angle = 30 degree. magnetic field = 0.25 T Torque = 4.5 × 10-2 J. We have to…

Q: What is the magnitude of the equatorial and axial fields due to a bar magnet of length 5.0 cm at a…

A: Given: Length of Bar magnet (2L) = 5.0 cm = 0.05 mDistance of point from centre of magnet (r) = 50…

Q: A cube of edge length = 4.70 cm is positioned as shown in the figure below. A uniform magnetic field…

Q: A magnetic rod with length 6.00 cm, radius 3.00 mm, and (uniform) magnetization 2.70 *10^3 A/m can…

Q: A straight conductor carrying a current i = 8.9 A splits into identical semicircular arcs as shown…

A: the straight portion of wire does not contribute to the magnetic field at C

Q: solve for the magnetic field due to two infinitely-long wires, carrying the same current in the…

Q: Find the magnitude of the torque on a circular loop in a uniform magnetic field of 0.021 T. The…

Q: A circular wire loop of radius 15.0 cm carries a current of 2.60 A. It is placed so that the normal…

Q: A circular wire loop of radius 20.3 cm carries a current of 2.67 A. It is placed so that the normal…

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: The figure shows a moving negative charge in a uniform magnetic field directed into the plane of the…

A: direction of motion of charge particle should be decided with the help of Lorentz force. Formula for…

Q: length of an ideal solenoid

Q: A 156 turn rectangular coil of length 42 cm and breadth 71 cm is placed in the earth's magnetic…

Q: How can we calculate magnetic field strength inside a solenoid?

A: Introduction: A solenoid is a current-carrying coil of wire in a cylindrical form. It acts as a…

Q: A small bar magnet experiences a 1.50×10−2 N⋅mN⋅mtorque when the axis of the magnet is at 45.0∘∘ to…

A: Given Magnetic torque (τ) = 1.50×10−2 Nm Magnetic field (B) = 9.00×10−2 T θ = 45 ° Magnetic…

Q: Let the Figure represents a strip of an unknown metal of the same dimensions as those of the silver…

Q: How can we measure the magnetic dipole moment of a strong permanent magnet?

A: The magnetic dipole moment (m) is defined as the product of its pole strength and magnetic length.

Q: A circular current loop with a diameter of 3 m carrying a current of 2 A is placed in the xy-plane.…

Q: What is the magnitude of the magnetic dipole moment of the bar magnet? Assume the bar is suitably…

Q: 'the magnitude of theforce on a magnetic dipole mu aligned with a non uniform magnetic field in

Q: A square loop with side length L carries a current 1, counterclockwise. The loop is placed in…

Q: Question 5.8: A closely wound solenoid of 2000 turns and area of cross-section 1.6 x 10 m?, carrying…

A: Given value--- Number of turns = 2000. Area = 1.6 × 10-4 m2 . current = 4 Amp. We have to find---…

Q: Explain the effect of the Solenoid’s radius on the magnetic field?

A: Magnetic field of a solenoid is denoted as B=μ∘nI , where n= turn no. of coil, I= Current and…

Q: What is the magnetic moment (A·m2) of a rectangular loop of 120 turns that carries 6.0 A if its…

Q: Find the torque exerted on a small magnetic dipole with a magnetic moment of 1.9 ✕ 10−4 A · m2 along…

Q: The magnetic dipole moment is the product of current in the loop and * O square of area enclosed by…

Q: A short bar magnet placed with its axis at 30° with a uniform external magnetic field of 0.25T…

Q: A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m.…

Q: The dipole moment of a magnet is given by i = (-41) k A · m² which is in a magnetic field given by B…

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A circular wire loop of radius 16.0 cm carries a current of 4.30 A. It is placed so that the normal to its plane makes an angle of 90.0° with a uniform magnetic field of
magnitude 14.0 T. Calculate the magnitude of the magnetic dipole moment of the loop. (Your result must be in units of A.m2 and include 3 digit after the decimal
point. Maximum of 5% of error is accepted in your answer. Take n = 3.14.)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 4 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

Two long wires, one of which has a semicircular tend of radius R, are positioned as shown in the accompanying figure. If both wires carry a current I, how far apart must then parallel sections be so that the net magnetic field at P is zero? Does the current in the straight wire flow up or down?
A circular coil of radius 5.0 cm is wound with five turns and carries a current of 5.0 A. If the coil is placed in a uniform magnetic field of strength 5.0 T, what is the maximum torque on it?
Calculate the magnitude of the magnetic field at a point 25.0 cm from a long, thin conductor carrying a current of 2.00 A.
Consider a solenoid that is very long compared with its radius. Of the following choices, what is the most effective way to increase the magnetic field in the interior of the solenoid? (a) double its length, keeping the number of turns per unit length constant (b) reduce its radius by half, keeping the number of turns per unit length constant (c) overwrap the entire solenoid with an additional layer of current-carrying wire
Acircularcoiofwireofradius5.Ocmhas2Otums and carries a current of 2.0 A. The coil lies in a magnetic field of magnitude 0.50 T that is directed parallel to the plane of the coil. (a) What is the magnetic dipole moment of the coil? (b) What is the torque on the coil?
In Niels Bohr’s 1913 model of the hydrogen atom, the single electron is in a circular orbit of radius 5.29 × 10−11 m and its speed is 2.19 × 106 m/s. (a) What is the magnitude of the magnetic moment due to the electron’s motion? (b) If the electron moves in a horizontal circle, counterclockwise as seen from above, what is the direction of this magnetic moment vector?
How many turns must be wound on a flat, circular coil of radius 20 cm in order to produce a magnetic field of magnitude 4.0105 T at the center of the coil when the current through it is 0.85 A?
A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?
The accompanying figure shows two long, straight, horizontal wires that are parallel and a distance 2a apart. If both wires carry current I in the same direction, (a) what is the magnetic field at P1? (b) P2?
A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?
A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.
Within the green dashed circle show in Figure P30.21, the magnetic field changes with time according to the expression B = 2.00t3 4.00t2 + 0.800, where B is in teslas, t is in seconds, and R = 2.50 cm. When t = 2.00 s, calculate (a) the magnitude and (b) the direction of the force exerted on an electron located at point P, which is at a distance r = 5.00 cm from the center of the circular field region. (c) At what instant is this force equal to zero? Figure P30.21