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?
State formula and S.I. unit of Magnetization.
Find the magnetization of a bar magnet of length 10 cm and cross-sectional area 4 cm2, if the magnetic moment is 2 Am2.
Give two points to distinguish between a paramagnetic and a diamagnetic substance ?
Mark out the correct options.
(a) Diamagnetism occurs in all materials.
(b) Diamagnetism results from the partial alignment of permanent magnetic moment.
(c) The magnetising field intensity, H, is always zero in free space.
(d) The magnetic field of induced magnetic moment is opposite the applied field.
The magnetic intensity H at the centre of a long solenoid carrying a current of 2.0 A, is found to be 1500 A m−1. Find the number of turns per centimetre of the solenoid.
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.
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 ______.
The moment of a magnet (15 cm × 2 cm × 1 cm) is 1.2 A-m2. What is its intensity of magnetization?
A solenoid has a core of material with relative permeability 500 and its windings carry a current of 1 A. The number of turns of the solenoid is 500 per meter. Calculate the magnetization of the material.
Define magnetic intensity.
Explain the magnetization of a material.
A magnet of magnetic moment 3Am2 weighs 75 g. The density of the material of the magnet is 7500 kg/m3. what is magnetization?
Derive the relation between magnetic field intensity(H) and magnetization(M) for a magnetic material placed in a magnetic field.
The magnetic susceptibility of a paramagnetic material at - 73°C is 0.0075. Its value at - 173°C will be ______.
An iron rod is placed parallel to magnetic field of intensity 2000 A/m. The magnetic flux through the rod is 6 × 10−4 Wb and its cross-sectional area is 3cm2. The magnetic permeability of the rod in `"Wb"/("A" - "m")` is ____________.
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 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 ____________.
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 ____________.
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.
The magnetic susceptibility of paramagnetic materials is ____________.
The relative magnetic permeability (`mu_"r"`) of a substance is related to its susceptibility (`chi`) as ____________.
A bar magnet having length 5 cm and area of cross-section 4cm2 has magnetic moment 2Am2. If magnetic susceptibility is 5 x 10-6, the magnetic intensity will be ____________.
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 ______.
Two parallel conducting wires of equal lengths placed distance 'd' apart carry currents 'I1' and 'I2' respectively in opposite directions. The resultant magnetic field at the midpoint of both the wires is ______.
(µ0 = permeability of free space.)
Magnetic lines of force due to a bar magnet do not intersect because ______.
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 ______.
One can define ...A... of a place as the vertical plane which passes through the imaginary line joining the magnetic North and the South–poles. Here, A refers to ______.
The earth behaves as a magnet with magnetic field pointing approximately from the geographic ______.
Magnetic permeability is maximum for ______
What is magnetic susceptibility?
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.
The dimensions of magnetic intensity are ______.
The magnetization of a bar magnet of length 4 cm, cross-sectional area 1 cm2 and magnetic moment 2 SI units is ______.
The relation between relative permeability (`mu_r`) and magnetic susceptibility (`chi_m`) is:______.
An iron rod is subjected to a magnetising field of 1200 Am-1 .The susceptibility of iron is 599. Find the permeability and the magnetic field produced.
