Advertisements
Advertisements
Question
When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breath, and thickness respectively) is located in a magnetizing field of 0.5 × 104 A/m-1, then a magnetic moment of 0.5 Am2 is induced in it. Find the magnetic induction in the plate.
Advertisements
Solution
Data: μ0 = 4π × 10-7; l = 10 cm, b = 0.5 cm, h = 0.2 cm, H = 0.5 × 104 Am-1, m = 0.5 Am2
The volume of the plate,
V = l × b × h
V = 10 × 0.5 × 0.2
V = 1 cm3 ⇒ 1 × 10-6 m3
B = `mu_0 ("H" + "M")` ...(i)
`therefore "M" = "m"/"V" = 0.5/(1 xx 10^-6)`
∴ M = 0.5 × 106 A/m
∴ B = `mu_0 (0.5 xx 10^4 + 0.5 xx 10^6)` ...[From (1)]
∴ B = `mu_0 (0.5 xx 10^4 + 50 xx 10^4)`
∴ B = `mu_0 (0.5 + 50) xx 10^4`
∴ B = `4pi xx 10^-7 (50.5) xx 10^4`
∴ B = `4 xx 3.14 xx 50.5 xx 10^-3` ...[π = 3.14]
∴ B = 0.634 Wb/m2
APPEARS IN
RELATED QUESTIONS
What is Magnetization?
Give two points to distinguish between a paramagnetic and a diamagnetic substance ?
A long, straight wire carries a current i. The magnetising field intensity H is measured at a point P close to the wire. A long, cylindrical iron rod is brought close to the wire, so that the point P is at the centre of the rod. The value of H at P will ______________ .
Which of the following pairs has quantities of the same dimensions?
(a) Magnetic field B and magnetising field intensity H
(b) Magnetic field B and intensity of magnetisation I
(c) Magnetising field intensity H and intensity of magnetisation I
(d) Longitudinal strain and magnetic susceptibility
The magnetic field inside a long solenoid of 50 turns cm−1 is increased from 2.5 × 10−3 T to 2.5 T when an iron core of cross-sectional area 4 cm2 is inserted into it. Find (a) the current in the solenoid (b) the magnetisation I of the core and (c) the pole strength developed in the core.
The magnetic field B and the magnetic intensity H in a material are found to be 1.6 T and 1000 A m−1, respectively. Calculate the relative permeability µr and the susceptibility χ of the material.
Assume that each iron atom has a permanent magnetic moment equal to 2 Bohr magnetons (1 Bohr magneton equals 9.27 × 10−24 A m2). The density of atoms in iron is 8.52 × 1028 atoms m−3. (a) Find the maximum magnetisation I in a long cylinder of iron (b) Find the maximum magnetic field B on the axis inside the cylinder.
At a certain temperature, a ferromagnetic material becomes paramagnetic. What is this temperature called?
Answer the following question.
Define the term "Intensity" in the photon picture of electromagnetic radiation.
A magnetic material of susceptibility 3 × 10−4, and magnetic intensity is 4 × 10−4 Am−1. Then The magnetization in the units of Am−1 is ______.
What does the ratio of magnetization to magnetic intensity indicate?
Define magnetic intensity.
A magnet of magnetic moment 3Am2 weighs 75 g. The density of the material of the magnet is 7500 kg/m3. what is magnetization?
An electron moves in a circular orbit with uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is [µ0 = permeability of free space, e = electronic charge]
Relative permeability of nickel is 550, then its magnetic susceptibility will be ____________.
The magnetization of bar magnet of length 5 cm, cross-sectional area 2 cm2 and net magnetic moment 1 Am2 is ______.
A solenoid has core of a material with relative permeability 500 and its windings carry a current of 2 A. The number of turns of the solenoid is 500 per metre. The magnetization of the material is ______.
An iron rod of cross-sectional area 6 sq. cm is placed with its length parallel to a magnetic field of intensity 1200 Alm. The flux through the rod is 60 x 10-4 Wb. The permeability of the rod is ______.
Coercivity of a magnet where the ferromagnet gets completely demagnetized is 6 x 103 Am-1. The minimum current required to be passed in a solenoid having 2000 turns per metre, so that the magnet gets completely demagnetized when placed inside the solenoid is ____________.
A bar magnet has coercivity 6 x 103 Am-1. It is desired to demagnetise it by inserting it inside a solenoid 10 cm long and having 40 turns. The current that should be sent through the solenoid is ____________.
An iron rod is placed parallel to magnetic field of intensity 4000 A/m. The magnetic flux through the rod is 8 x 10-4 Wb and its cross-sectional area is 4 cm2 . The magnetic permeability of the rod in Wb/A - m is ____________.
The permeability of a metal is 0.01256 TmA- 1 What is its relative permeability?
A magnet of magnetic moment 6 Am2 weighs 65 g. The density of the material of the magnet is 6500 kg/m3. What is the magnetization?
SI Unit of Magnetization is ____________.
A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform magnetization `5.3 xx 10^3 "A"/"m"^3`. Its net magnetic dipole moment is nearly `(pi = 22/7)`.
The dimensions of the relative magnetic permeability of the substance are ______.
Assertion: Susceptibility is defined as the ratio of intensity of magnetisation I to magnetic intensity H.
Reason: Greater the value of susceptibility, smaller the value of intensity of magnetisation I.
What is the magnetization of a bar magnet having length 5 cm and area of cross section 2 cm2? (M = 1 Am2)
If Mz = magnetization of a paramagnetic sample, B external magnetic field, T = absolute temperature, C = curie constant then according to Curie's law in magnetism, the correct relation is ______.
The relative magnetic permeability (`mu_"r"`) of a substance is related to its susceptibility (`chi`) as ____________.
The variation of intensity of magnetization (I) and applied magnetic field intensity (H) for three magnetic materials A, B, C are shown in the graph. The material A is ____________.
Find the intensity of magnetization of a magnet of moment 4 Am2 which weighs 50 gram. (Density of the material of a magnet = 5000 kg/m3)
A bar magnet has length 3 cm, cross-sectional area 4 cm2, and magnetic moment 6 Am2. The intensity of magnetisation of bar magnet is ______.
Magnetic intensity is given by ______.
A magnetic needle of magnetic moment 6.7 × 10–2 Am2 and moment of inertia 7.5 × 10–6 kg m2 is performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete oscillations is ______.
The earth behaves as a magnet with magnetic field pointing approximately from the geographic ______.
Magnetic permeability is maximum for ______
Define magnetization.
An example of a perfect diamagnet is a superconductor. This implies that when a superconductor is put in a magnetic field of intensity B, the magnetic field B inside the superconductor will be such that ______.
State unit and dimensions of Magnetic susceptibility.
For a medium of permeability µ, its magnetic susceptibility x is [µ 0 = permeability of vacuum]
The relation between relative permeability (`mu_r`) and magnetic susceptibility (`chi_m`) is:______.
State SI unit of Magnetization.
The magnetic susceptibility of iron is 5499. The relative permeability of iron will be ______.
